Tootfinder

internet_top_pop: Internet topology (PoP level) (1969-2012)
Assorted snapshots of internet graph at the Point of Presence (PoP) level (which lies between the IP and AS levels), collected from around the world and at various times. The earliest snapshots are for ARPANET (1969-1972), with a few more from pre-2000. Most are from 2006 onward. Metadata include link type or speed, longitudes, and latitudes of nodes, URL, and date of record.
This network has 13 nodes and 17 edges.

internet_top_pop: Internet topology (PoP level) (1969-2012)
Assorted snapshots of internet graph at the Point of Presence (PoP) level (which lies between the IP and AS levels), collected from around the world and at various times. The earliest snapshots are for ARPANET (1969-1972), with a few more from pre-2000. Most are from 2006 onward. Metadata include link type or speed, longitudes, and latitudes of nodes, URL, and date of record.
This network has 24 nodes and 37 edges.

Mesh of Spatiotemporal Optical Vortices with Programmable Intensity Nulls
Jinxin Wu, Dan Wang, Qingqing Liang, Jianhua Hu, Jiahao Dong, Jijun Feng, Yi Liu
https://arxiv.org/abs/2511.18087 https://arxiv.org/pdf/2511.18087 https://arxiv.org/html/2511.18087
arXiv:2511.18087v1 Announce Type: new
Abstract: Light carrying transverse orbital angular momentum (T-OAM) in the form of spatiotemporal optical vortices (STOVs) is opening new degrees of freedom for structured light manipulation. Such spatiotemporal wavepackets hold significant potential for optical trapping, analog optical computing, studying photonic symmetry and topology, among others. Up to now, synthesizing of such vortices is limited in one dimension, either in temporal or spatial domain. In this work, we propose and experimentally demonstrate a two-dimensional flexible mesh of spatiotemporal optical vortices (M-STOV) with programmable intensity nulls, and analyze their diffraction patterns for detection. Furthermore, we extend the spectral range of M-STOV via second-harmonic generation while examining the transfer of OAM in this nonlinear process. This study establishes a foundational framework for designing higher dimensional spatiotemporal vortex fields and promises a high-capacity information carrier based on ST optical vortices.
toXiv_bot_toot

topology: Internet AS graph (2004)
An integrated snapshot of the structure of the Internet at the level of Autonomous Systems (ASs), reconstructed from multiple sources, including the RouteViews and RIPE BGP trace collectors, route servers, looking glasses, and the Internet Routing Registry databases. This snapshot was created around October 2004.
This network has 34761 nodes and 171403 edges.
Tags: Technological, Communication, Unweighted, Multigraph, Timestamps

Gaussian Ensemble Topology (GET): A New Explicit and Inherently Smooth Framework for Manufacture-Ready Topology Optimization
Xinyu Ma, Chengxin Wang, Meng Wang, Xu Guo, Liu Yang, Huajian Gao
https://arxiv.org/abs/2510.05572

Gaussian Ensemble Topology (GET): A New Explicit and Inherently Smooth Framework for Manufacture-Ready Topology Optimization
We introduce the Gaussian Ensemble Topology (GET) method, a new explicit and manufacture-ready framework for topology optimization in which design geometries are represented as superpositions of anisotropic Gaussian functions. By combining explicit Gaussian descriptions with a level-set-like Heaviside projection, GET inherently generates smooth, curvature-continuous designs without requiring post-processing steps such as mesh or corner smoothing and feature extraction. The method is validated o…

Fast and length-independnt transport time supported by topological edge states in finite-size Su-Schieffer-Heeger chains
Yu-Han Chang, Nadia Daniela Rivera Torres, Santiago Figueroa Manrique, Raul A. Robles Robles, Vanna Chrismas Silalahi, Cen-Shawn Wu, Gang Wang, Giulia Marcucci, Laura Pilozzi, Claudio Conti, Ray-Kuang Lee, Watson Kuo
https://arxiv.org/abs/2511.19237 https://arxiv.org/pdf/2511.19237 https://arxiv.org/html/2511.19237
arXiv:2511.19237v1 Announce Type: new
Abstract: In order to transport information with topological protection, we explore experimentally the fast transport time using edge states in one-dimensional Su-Schrieffer-Heeger (SSH) chains. The transport time is investigated in both one- and two-dimensional models with topological non-trivial band structures. The fast transport is inherited with the wavefunction localization, giving a stronger effective coupling strength between the mode and the measurement leads. Also the transport time in one-dimension is independent of the system size. To verify the asertion, we implement a chain of split-ring resonators and their complementary ones with controllable hopping strengths. By performing the measurements on the group delay of non-trivially topological edge states with pulse excitations, the transport time between two edge states is directly observed with the chain length up to $20$. Along the route to harness topology to protect optical information, our experimental demonstrations provide a crucial guideline for utilizing photonic topological devices.
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End-to-End Quantum Algorithm for Topology Optimization in Structural Mechanics
Leonhard H\"olscher, Oliver Ahrend, Lukas Karch, Carlotta L'Estocq, Marc Marfany Andreu, Tobias Stollenwerk, Frank K. Wilhelm, Julia Kowalski
https://arxiv.org/abs/2510.07280

End-to-End Quantum Algorithm for Topology Optimization in Structural Mechanics
Topology optimization is a key methodology in engineering design for finding efficient and robust structures. Due to the enormous size of the design space, evaluating all possible configurations is typically infeasible. In this work, we present an end-to-end, fault-tolerant quantum algorithm for topology optimization that operates on the exponential Hilbert space representing the design space. We demonstrate the algorithm on the two-dimensional Messerschmitt-Bölkow-Blohm (MBB) beam problem. By…

Data-driven multifidelity and multiscale topology optimization based on phasor-based evolutionary de-homogenization
Shuzhi Xu, Yifan Guo, Hiroki Kawabe, Kentaro Yaji
https://arxiv.org/abs/2510.08830

Data-driven multifidelity and multiscale topology optimization based on phasor-based evolutionary de-homogenization
Multiscale topology optimization is crucial for designing porous infill structures with high stiffness-to-weight ratios and excellent energy absorption. Although gradient-based methods provide a rigorous framework, they are computationally expensive and struggle to capture cross-scale sensitivities in nonlinear settings. Moreover, the resulting hierarchical geometries are often overly complex and lack macroscopically meaningful features. To overcome these issues, we propose an evolutionary de-h…

String topology coproduct and Turaev cobracket on surfaces
Jana Hartenstein, Maximilian Stegemeyer
https://arxiv.org/abs/2510.05997 https://arxiv.org/pdf/2…

String topology coproduct and Turaev cobracket on surfaces
The string topology coproduct on the homology of the free loop space of a closed manifold induces a string cobracket on $S^1$-equivariant homology. We give a complete computation of the string topology coproduct for surfaces of higher genus by describing an algorithm which computes the coproduct of a cyclic word in terms of generators of the fundamental group of the surface. We further show that the string cobracket is the negative of the Turaev cobracket.

TopROI: A topology-informed network approach for tissue partitioning
Sergio Serrano de Haro Iv\'a\~nez, Joshua W. Moore, Lucile Grzesiak, Eoghan J. Mullholand, Heather Harrington, Simon J. Leedham, Helen M. Byrne
https://arxiv.org/abs/2510.12772

TopROI: A topology-informed network approach for tissue partitioning
Mammalian tissue architecture is central to biological function, and its disruption is a hallmark of disease. Medical imaging techniques can generate large point cloud datasets that capture changes in the cellular composition of such tissues with disease progression. However, regions of interest (ROIs) are usually defined by quadrat-based methods that ignore intrinsic structure and risk fragmenting meaningful features. Here, we introduce TopROI, a topology-informed, network-based method for par…

Interplay of choice and topology in percolation on mediation-driven attachment networks
Nilomber Roy, M. M. B. Sheraj, M. K. Hassan
https://arxiv.org/abs/2510.10076 https://

Interplay of choice and topology in percolation on mediation-driven attachment networks
We investigate bond percolation on mediation-driven attachment (MDA) networks under the generalized Achlioptas process, where $M>1$ candidate bonds are sampled and the one that minimizes the resulting cluster size is selected the best-of-$M$ rule. This framework offers a systematic approach to investigate how network topology and choice mechanisms jointly shape percolation behavior. We analyze the effects of the degree exponent $ω$ and the choice parameter $M$ on the critical point $t_c$ and t…

A topology for Engel expansions: evaluation and digit coding maps
Min Woong Ahn
https://arxiv.org/abs/2510.10850 https://arxiv.org/pdf/2510.10850

A topology for Engel expansions: evaluation and digit coding maps
We develop a topological framework for Engel expansions that treats both directions of the correspondence between points of $(0,1]$ and nondecreasing digit sequences. We endow the sequence space with the product topology to study the evaluation map, and we fix a nonterminating digit algorithm to study the digit coding map. We also record the correspondence between cylinder sets and fundamental intervals, and give an application to Baire category results for functions of the digits.

Relationship among Structural, Disordered, Magnetism and Band Topology in MnSb2Te4(Sb2Te3)n Family
Ming Xi, Yuchong Zhang, Wenju Zhou, Famin Chen, Donghan Jia, Huiyang Gou, Tian Qian, Hechang Lei
https://arxiv.org/abs/2510.09973

Relationship among Structural, Disordered, Magnetism and Band Topology in MnSb2Te4(Sb2Te3)n Family
Interplay between topology and magnetism induces various exotic quantum phenomena, with magnetic topological insulators (MTIs) serving as a prominent example due to their ability to host the quantum anomalous Hall effect (QAHE). However, the realization of QAHE at higher temperature approaching magnetic-transition-temperature remains a significant challenge, primarily due to the scarcity of suitable material platforms and limited understanding of the intricate relationships between band topolog…

Manipulation of photonic topological edge and corner states via trivial claddings
Hai-Xiao Wang, Li Liang, Shuai Shao, Shiwei Tang, Junhui Hu, Yin Poo, Jian-Hua Jiang
https://arxiv.org/abs/2511.18705 https://arxiv.org/pdf/2511.18705 https://arxiv.org/html/2511.18705
arXiv:2511.18705v1 Announce Type: new
Abstract: Crystalline symmetry offers a powerful tool to realize photonic topological phases, in which additional trivial claddings are typically required to confine topological boundary states. However, the utility of the trivial cladding in manipulating topological waves is often overlooked. Here, we demonstrate two topologically distinct kagome photonic crystals (KPCs) based on different crystalline symmetries: \mathbit{C}_\mathbf{6}- symmetric KPCs exhibit a quantum spin Hall phase, while \mathbit{C}_\mathbf{3}-symmetric KPCs serve as trivial cladding. By tuning the geometric parameter of the trivial cladding, we observe that a pair of topological interface states featured with pseudospin-momentum locking undergoes a phase transition, accompanied by the appearance and disappearance of corner states in a finite hexagonal supercell. Such a geometry-induced band inversion is characterized by a sign change in the Dirac mass of the topological interface states and holds potential for applications such as rainbow trapping. Furthermore, we experimentally demonstrate the corner states, which is a hallmark of higher-order topology, also depend critically on the trivial cladding. Our work highlights the crucial role of trivial claddings on the formation of topological boundary states, and offers a novel approach for their manipulation.
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HyperAgent: Leveraging Hypergraphs for Topology Optimization in Multi-Agent Communication
Heng Zhang, Yuling Shi, Xiaodong Gu, Zijian Zhang, Haochen You, Lubin Gan, Yilei Yuan, Jin Huang
https://arxiv.org/abs/2510.10611

HyperAgent: Leveraging Hypergraphs for Topology Optimization in Multi-Agent Communication
Recent advances in large language model-powered multi-agent systems have demonstrated remarkable collective intelligence through effective communication. However, existing approaches face two primary challenges: (i) \textit{Ineffective group collaboration modeling}, as they rely on pairwise edge representations in graph structures, limiting their ability to capture relationships among multiple agents; and (ii) \textit{Limited task-adaptiveness in communication topology design}, leading to exces…

Topology optimization of nonlinear forced response curves via reduction on spectral submanifolds
Hongming Liang, Matteo Pozzi, Jacopo Marconi, Shobhit Jain, Mingwu Li
https://arxiv.org/abs/2510.07900

Topology optimization of nonlinear forced response curves via reduction on spectral submanifolds
Forced response curves (FRCs) of nonlinear systems can exhibit complex behaviors, including hardening/softening behavior and bifurcations. Although topology optimization holds great potential for tuning these nonlinear dynamic responses, its use in high-dimensional systems is limited by the high cost of repeated response and sensitivity analyses. To address this challenge, we employ the spectral submanifolds (SSMs) reduction theory, which reformulates the periodic response as the equilibria of …

topology: Internet AS graph (2004)
An integrated snapshot of the structure of the Internet at the level of Autonomous Systems (ASs), reconstructed from multiple sources, including the RouteViews and RIPE BGP trace collectors, route servers, looking glasses, and the Internet Routing Registry databases. This snapshot was created around October 2004.
This network has 34761 nodes and 171403 edges.
Tags: Technological, Communication, Unweighted, Multigraph, Timestamps

Toward Co-adapting Machine Learning Job Shape and Cluster Topology
Shawn Shuoshuo Chen, Daiyaan Arfeen, Minlan Yu, Peter Steenkiste, Srinivasan Seshan
https://arxiv.org/abs/2510.03891

Toward Co-adapting Machine Learning Job Shape and Cluster Topology
Allocating resources to distributed machine learning jobs in multi-tenant torus-topology clusters must meet each job's specific placement and communication requirements, which are typically described using shapes. There is an inherent tension between minimizing network contention and maximizing cluster utilization when placing various-shaped jobs. While existing schedulers typically optimize for one objective at the expense of the other, we demonstrate that both can be achieved simultaneously. …

Robust Geometric Predicates for Bivariate Computational Topology
Petar Hristov, Ingrid Hotz, Talha Bin Masood
https://arxiv.org/abs/2510.07955 https://arxi…

Robust Geometric Predicates for Bivariate Computational Topology
We present theory and practice for robust implementations of bivariate Jacobi set and Reeb space algorithms. Robustness is a fundamental topic in computational geometry that deals with the issues of numerical errors and degenerate cases in algorithm implementations. Computational topology already uses some robustness techniques for the development of scalar field algorithms, such as those for computing critical points, merge trees, contour trees, Reeb graphs, Morse-Smale complexes, and persiste…

TIGER: A Topology-Agnostic, Hierarchical Graph Network for Event Reconstruction
Nathalie Soybelman, Francesco A. Di Bello, Nilotpal Kakati, Eilam Gross
https://arxiv.org/abs/2510.08162

TIGER: A Topology-Agnostic, Hierarchical Graph Network for Event Reconstruction
Event reconstruction at the LHC, the task of assigning observed physics objects to their true origins, is a central challenge for precision measurements and searches. Many existing machine learning approaches address this problem but rely on a single event topology, restricting their applicability to realistic analyses where multiple signal and background processes with different structures are present. To overcome this, we present TIGER, a novel hierarchical graph network that is fundamentally…

Cosmic topology. Part IIb. Eigenmodes, correlation matrices, and detectability of non-orientable Euclidean manifolds
Craig J. Copi (COMPACT Collaboration), Amirhossein Samandar (COMPACT Collaboration), Glenn D. Starkman (COMPACT Collaboration), Javier Carr\'on Duque (COMPACT Collaboration), Yashar Akrami (COMPACT Collaboration), Stefano Anselmi (COMPACT Collaboration), Andrew H. Jaffe (COMPACT Collaboration), Arthur Kosowsky (COMPACT Collaboration), Fernando Cornet-Gomez (COMPACT C…

Cosmic topology. Part IIb. Eigenmodes, correlation matrices, and detectability of non-orientable Euclidean manifolds
If the Universe has non-trivial spatial topology, observables depend on both the parameters of the spatial manifold and the position and orientation of the observer. In infinite Euclidean space, most cosmological observables arise from the amplitudes of Fourier modes of primordial scalar curvature perturbations. Topological boundary conditions replace the full set of Fourier modes with specific linear combinations of selected Fourier modes as the eigenmodes of the scalar Laplacian. In this pape…

Low-dimensional topology and symplectic dynamics
Dan Cristofaro-Gardiner
https://arxiv.org/abs/2510.07680 https://arxiv.org/pdf/2510.07680

Low-dimensional topology and symplectic dynamics
These are notes to accompany my lectures at the $2024$ "Current Developments in Mathematics" conference hosted by Harvard/MIT. The lectures were about some recent progress in our understanding of two and three dimensional dynamical systems, using in part some tools from low-dimensional topology. In these notes, I try to give a sense for how this works by discussing a few examples from problems I have worked on and surveying some related developments. Some symplectic variants of Weyl's law play …

Polymer Topology and the Depletion Interaction
Mauro L. Mugnai
https://arxiv.org/abs/2510.09890 https://arxiv.org/pdf/2510.09890

Polymer Topology and the Depletion Interaction
Using a theoretical model we show that ideal ring polymers are stronger depletants than ideal linear polymers of equal radii of gyration, but not of equal hydrodynamic radii. The difference in the depletion-induced force profile is largely controlled by the thickness of the depletion layer. Theory suggests that this thickness is equal to the average extent of a polymer along the direction perpendicular to the surfaces of the colloids. Within the limits of finite-size effects, Molecular Dynamics…

Quantum Gravity and Effective Topology
J. van der Duin, R. Loll, M. Schiffer, A. Silva
https://arxiv.org/abs/2510.05695 https://arxiv.org/pdf/2510.05695

Quantum Gravity and Effective Topology
We introduce a new methodology to characterize properties of quantum spacetime in a strongly quantum-fluctuating regime, using tools from topological data analysis. Starting from a microscopic quantum geometry, generated nonperturbatively in terms of dynamical triangulations (DT), we compute the Betti numbers of a sequence of coarse-grained versions of the geometry as a function of the coarse-graining scale, yielding a characteristic ``topological finger print". We successfully implement this m…

TASP: Topology-aware Sequence Parallelism
Yida Wang (Capital Normal University, Infinigence-AI), Ke Hong (Tsinghua University, Infinigence-AI), Xiuhong Li (Infinigence-AI), Yuanchao Xu (Capital Normal University), Wenxun Wang (Tsinghua University), Guohao Dai (Infinigence-AI, Shanghai Jiao Tong University), Yu Wang (Tsinghua University)
https://

TASP: Topology-aware Sequence Parallelism
Long-context large language models (LLMs) face constraints due to the quadratic complexity of the self-attention mechanism. The mainstream sequence parallelism (SP) method, Ring Attention, attempts to solve this by distributing the query into multiple query chunks across accelerators and enable each Q tensor to access all KV tensors from other accelerators via the Ring AllGather communication primitive. However, it exhibits low communication efficiency, restricting its practical applicability. …

AMAS: Adaptively Determining Communication Topology for LLM-based Multi-Agent System
Hui Yi Leong, Yuheng Li, Yuqing Wu, Wenwen Ouyang, Wei Zhu, Jiechao Gao
https://arxiv.org/abs/2510.01617

AMAS: Adaptively Determining Communication Topology for LLM-based Multi-Agent System
Although large language models (LLMs) have revolutionized natural language processing capabilities, their practical implementation as autonomous multi-agent systems (MAS) for industrial problem-solving encounters persistent barriers. Conventional MAS architectures are fundamentally restricted by inflexible, hand-crafted graph topologies that lack contextual responsiveness, resulting in diminished efficacy across varied academic and commercial workloads. To surmount these constraints, we introdu…

topology: Internet AS graph (2004)
An integrated snapshot of the structure of the Internet at the level of Autonomous Systems (ASs), reconstructed from multiple sources, including the RouteViews and RIPE BGP trace collectors, route servers, looking glasses, and the Internet Routing Registry databases. This snapshot was created around October 2004.
This network has 34761 nodes and 171403 edges.
Tags: Technological, Communication, Unweighted, Multigraph, Timestamps

Replaced article(s) found for math.GT. https://arxiv.org/list/math.GT/new
[1/1]:
- The normal closure of a bounding pair map in its mapping class group
Lei Chen, Weiyan Chen, Justin Lanier

Tunable Chern Insulator States with Coexisting Magnonic and Electronic Topology in 2D Honeycomb Kitaev Ferromagnets
Haozhou Cai, Zhiming Xu, Jian Wu, Weiyi Pan
https://arxiv.org/abs/2510.09235

Tunable Chern Insulator States with Coexisting Magnonic and Electronic Topology in 2D Honeycomb Kitaev Ferromagnets
The coexistence of topological magnons and electrons in magnetic materials presents a compelling route toward developing low-dissipation, multifunctional spintronic devices. However, material systems enabling their simultaneous realization and control remain largely unexplored. Here, we propose the coexistence and concurrent tunability of magnonic and electronic Chern insulator phases in Kitaev magnets and use MnBr$_{3}$ monolayer as a prototype. We find the significant Kitaev interaction in Mn…

Bayesian Topological Convolutional Neural Nets
Sarah Harkins Dayton, Hayden Everett, Ioannis Schizas, David L. Boothe Jr., Vasileios Maroulas
https://arxiv.org/abs/2510.11704 ht…

Bayesian Topological Convolutional Neural Nets
Convolutional neural networks (CNNs) have been established as the main workhorse in image data processing; nonetheless, they require large amounts of data to train, often produce overconfident predictions, and frequently lack the ability to quantify the uncertainty of their predictions. To address these concerns, we propose a new Bayesian topological CNN that promotes a novel interplay between topology-aware learning and Bayesian sampling. Specifically, it utilizes information from important ma…

The Central Limit Theorem for random exponents on a Hilbert space in the Weak Operator Topology
S. V. Dzhenzher
https://arxiv.org/abs/2510.04077 https://ar…

The Central Limit Theorem for random exponents on a Hilbert space in the Weak Operator Topology
We consider random linear continuous operators $Ω\to \mathcal{L}(\mathcal{H}, \mathcal{H})$ on a Hilbert space $\mathcal{H}$. For example, such random operators may be random quantum channels. The Central Limit Theorem is known for the sums of i.i.d. random operators. Instead of the sum, there may be considered the composition of random exponents $e^{A_i/n}$. We obtain the Central Limit Theorem in the Weak Operator Topology for centralized and normalized random exponents of i.i.d. linear conti…

Breakdown of Non-Bloch Bulk-Boundary Correspondence and Emergent Topology in Floquet Non-Hermitian Systems
Hong Wu, Xue-Min Yang, Hui Liu
https://arxiv.org/abs/2510.09193 https:…

Breakdown of Non-Bloch Bulk-Boundary Correspondence and Emergent Topology in Floquet Non-Hermitian Systems
Topological edge states in gaps of non-Hermitian systems are robust due to topological protection. Using the non-Hermitian Floquet Su-Schrieffer-Heeger model, we show that this robustness can break down: edge states may be suppressed by infinitesimal perturbations that preserve sublattice symmetry. We identify this fragility to the instability of the quasienergy spectrum in finite-size systems, leading to a breakdown of the non-Bloch bulk-boundary correspondence defined on the generalized Brill…

topology: Internet AS graph (2004)
An integrated snapshot of the structure of the Internet at the level of Autonomous Systems (ASs), reconstructed from multiple sources, including the RouteViews and RIPE BGP trace collectors, route servers, looking glasses, and the Internet Routing Registry databases. This snapshot was created around October 2004.
This network has 34761 nodes and 171403 edges.
Tags: Technological, Communication, Unweighted, Multigraph, Timestamps

Replaced article(s) found for math.GN. https://arxiv.org/list/math.GN/new
[1/1]:
- Mean dimension explosion of induced homeomorphisms
Gabriel Lacerda, Sergio Roma\~na

Network topological reorganization mechanisms of primary visual cortex under multimodal stimulation (in mice) https://www.frontiersin.org/journals/neuroscience/articles/10.3389/fnins.2025.1678035/full

Frontiers | Network topological reorganization mechanisms of primary visual cortex under multimodal stimulation
IntroductionThe functional connectivity topology of the primary visual cortex (V1) shapes sensory processing and cross-modal integration, yet how different s...

TopoSPAM: Topology grounded Simulation Platform for morphogenesis and biological Active Matter
Abhinav Singh (Max Planck Institute of Molecular Cell Biology and Genetics, Dresden, Germany, Center for Systems Biology Dresden, Dresden, Germany, School of Engineering and Applied Sciences, Harvard University, Cambridge, MA, USA), Abhijeet Krishna (Max Planck Institute of Molecular Cell Biology and Genetics, Dresden, Germany, Center for Systems Biology Dresden, Dresden, Germany), Aboutaleb …

TopoSPAM: Topology grounded Simulation Platform for morphogenesis and biological Active Matter
We present a topology grounded, multiscale simulation platform for morphogenesis and biological active matter. Morphogenesis and biological active matter represent keystone problems in biology with additional, far-reaching implications across the biomedical sciences. Addressing these problems will require flexible, cross-scale models of tissue shape, development, and dysfunction that can be tuned to understand, model, and predict relevant individual cases. Current approaches to simulating anato…

Computable Bases
Vasco Brattka, Emmanuel Rauzy
https://arxiv.org/abs/2510.09850 https://arxiv.org/pdf/2510.09850 …

Computable Bases
In computable analysis typically topological spaces with countable bases are considered. The Theorem of Kreitz-Weihrauch implies that the subbase representation of a second-countable $T_0$ space is admissible with respect to the topology that the subbase generates. We consider generalizations of this setting to bases that are representable, but not necessarily countable. We introduce the notions of a computable presubbase and a computable prebase. We prove a generalization of the Theorem of Kre…

TOMATOES: Topology and Material Optimization for Latent Heat Thermal Energy Storage Devices
Rahul Kumar Padhy, Krishnan Suresh, Aaditya Chandrasekhar
https://arxiv.org/abs/2510.07057

TOMATOES: Topology and Material Optimization for Latent Heat Thermal Energy Storage Devices
Latent heat thermal energy storage (LHTES) systems are compelling candidates for energy storage, primarily owing to their high storage density. Improving their performance is crucial for developing the next-generation efficient and cost effective devices. Topology optimization (TO) has emerged as a powerful computational tool to design LHTES systems by optimally distributing a high-conductivity material (HCM) and a phase change material (PCM). However, conventional TO typically limits to optimi…

Two-Dimensional Altermagnetic Iron Oxyhalides: Real Chern topology and Valley-Spin-Lattice coupling
Yong-Kun Wang, Si Li, Shengyuan A. Yang
https://arxiv.org/abs/2510.12748 http…

Two-Dimensional Altermagnetic Iron Oxyhalides: Real Chern topology and Valley-Spin-Lattice coupling
Altermagnets, a novel class of collinear magnetic materials, exhibit unique spin-split band structures, yet topological insulating states in intrinsic altermagnetic systems are rare. Here, we identify monolayer Fe$_2X_2$O ($X$ = Cl, Br, I) as a new family of 2D altermagnetic real Chern insulators. These materials display robust $d$-wave altermagnetic ordering, semiconducting band gaps, and nontrivial real Chern numbers per spin channel, yielding spin-polarized topological corner modes. They als…

Observation of non-Hermitian topology in cold Rydberg quantum gases
Jun Zhang, Ya-Jun Wang, Shi-Yao Shao, Bang Liu, Li-Hua Zhang, Zheng-Yuan Zhang, Xin Liu, Chao Yu, Qing Li, Han-Chao Chen, Yu Ma, Tian-Yu Han, Qi-Feng Wang, Jia-Dou Nan, Yi-Ming Yin, Dong-Yang Zhu, Qiao-Qiao Fang, Dong-Sheng Ding, Bao-Sen Shi
https://arxiv.org/abs/2509.2625…

Observation of non-Hermitian topology in cold Rydberg quantum gases
The pursuit of topological phenomena in non-Hermitian systems has unveiled new physics beyond the conventional Hermitian paradigm, yet their realization in interacting many-body platforms remains a critical challenge. Exploring this interplay is essential to understand how strong interactions and dissipation collectively shape topological phases in open quantum systems. Here, we experimentally demonstrate non-Hermitian spectra topology in a dissipative Rydberg atomic gas and characterize parame…

Wasserstein crossover for evolutionary algorithm-based topology optimization
Taisei Kii, Kentaro Yaji, Hiroshi Teramoto, Kikuo Fujita
https://arxiv.org/abs/2510.02870 https://…

Wasserstein crossover for evolutionary algorithm-based topology optimization
Evolutionary algorithms (EAs) are promising approaches for non-differentiable or strongly multimodal topology optimization problems, but they often suffer from the curse of dimensionality, generally leading to low-resolution optimized results. This limitation stems in part from the difficulty of producing effective offspring through traditional crossover operators, which struggle to recombine complex parent design features in a meaningful way. In this study, we propose a novel crossover operato…

Less is More: Strategic Expert Selection Outperforms Ensemble Complexity in Traffic Forecasting
Walid Guettala, Yufan Zhao, L\'aszl\'o Guly\'as
https://arxiv.org/abs/2510.07426

Less is More: Strategic Expert Selection Outperforms Ensemble Complexity in Traffic Forecasting
Traffic forecasting is fundamental to intelligent transportation systems, enabling congestion mitigation and emission reduction in increasingly complex urban environments. While recent graph neural network approaches have advanced spatial temporal modeling, existing mixture of experts frameworks like Time Enhanced Spatio Temporal Attention Model (TESTAM) lack explicit incorporation of physical road network topology, limiting their spatial capabilities. We present TESTAM+, an enhanced spatio tem…

topology: Internet AS graph (2004)
An integrated snapshot of the structure of the Internet at the level of Autonomous Systems (ASs), reconstructed from multiple sources, including the RouteViews and RIPE BGP trace collectors, route servers, looking glasses, and the Internet Routing Registry databases. This snapshot was created around October 2004.
This network has 34761 nodes and 171403 edges.
Tags: Technological, Communication, Unweighted, Multigraph, Timestamps

Network Topology and Information Efficiency of Multi-Agent Systems: Study based on MARL
Xinren Zhang, Sixi Cheng, Zixin Zhong, Jiadong Yu
https://arxiv.org/abs/2510.07888 https:…

Network Topology and Information Efficiency of Multi-Agent Systems: Study based on MARL
Multi-agent systems (MAS) solve complex problems through coordinated autonomous entities with individual decision-making capabilities. While Multi-Agent Reinforcement Learning (MARL) enables these agents to learn intelligent strategies, it faces challenges of non-stationarity and partial observability. Communications among agents offer a solution, but questions remain about its optimal structure and evaluation. This paper explores two underexamined aspects: communication topology and informatio…

topology: Internet AS graph (2004)
An integrated snapshot of the structure of the Internet at the level of Autonomous Systems (ASs), reconstructed from multiple sources, including the RouteViews and RIPE BGP trace collectors, route servers, looking glasses, and the Internet Routing Registry databases. This snapshot was created around October 2004.
This network has 34761 nodes and 171403 edges.
Tags: Technological, Communication, Unweighted, Multigraph, Timestamps

Replaced article(s) found for math.AT. https://arxiv.org/list/math.AT/new
[1/1]:
- The six operations in topology
Marco Volpe
https://arxi…

Crosslisted article(s) found for math.GT. https://arxiv.org/list/math.GT/new
[1/1]:
- Geometric Structures for $G_2'$-Surface Group Representations
Colin Davalo, Parker Evans

gnutella: Gnutella p2p networks (2002)
A sequence of 9 snapshots of the Gnutella peer-to-peer file sharing network from 5-31 August 2002. Nodes are hosts in the Gnutella network topology and edges are connections between them.
This network has 26518 nodes and 65369 edges.
Tags: Technological, Peer-to-peer, Unweighted
https://

Optimizing the Network Topology of a Linear Reservoir Computer
Sahand Tangerami, Nicholas A. Mecholsky, Francesco Sorrentino
https://arxiv.org/abs/2509.23391 https://

Optimizing the Network Topology of a Linear Reservoir Computer
Machine learning has become a fundamental approach for modeling, prediction, and control, enabling systems to learn from data and perform complex tasks. Reservoir computing is a machine learning tool that leverages high-dimensional dynamical systems to efficiently process temporal data for prediction and observation tasks. Traditionally, the connectivity of a reservoir computer (RC) is generated at random, lacking a principled design. Here, we focus on optimizing the topology of a linear RC to …

Topology and Martensitic Phase Transformations
M. Yin, D. D. Vvedensky
https://arxiv.org/abs/2510.10610 https://arxiv.org/pdf/2510.10610

Topology and Martensitic Phase Transformations
Triply periodic minimal surfaces (TPMS) are discovered to conform to surfaces of given charge density distributions embedded in crystals [Z. Kristallogr. \textbf{170}, 138 (1985)]. Based on our previous work [Phys. Rev. Mater. \textbf{9}, 073802 (2025)], we discovered that crystals can have surfaces of a given charge density converging to TPMS. We also discovered that end states connected by a martensitic phase transformation should have their corresponding TPMS being topologically equivalent. …

Probing the Topology of the Early Universe using CMB Temperature and Polarization Anisotropies
Miguel-Angel Sanchis-Lozano
https://arxiv.org/abs/2509.22106 https://

Probing the Topology of the Early Universe using CMB Temperature and Polarization Anisotropies
The temperature and polarization of the cosmic microwave background (CMB), as measured today, may offer key insights into the topology of the early universe prior to inflation, for example, by discriminating between flat and warped geometries. In this paper, we focus on a Kaluza-Klein model with an extra spatial dimension that compactifies at the Grand Unified Theory (GUT) epoch, subject to mixed Neumann/Dirichlet boundary conditions at fixed points. As a consequence, a set of infrared cutoffs …

Topology of the generalized Brillouin zone of one-dimensional models
Heming Wang, Janet Zhong, Shanhui Fan
https://arxiv.org/abs/2510.07214 https://arxiv.o…

Topology of the generalized Brillouin zone of one-dimensional models
The generalized Brillouin zones (GBZs) are integral in the analysis of non-Hermitian band structures. Conventional wisdom suggests that the GBZ should be connected, where each point can be indexed by the real part of the wavevector, similar to the Brillouin zone. Here we demonstrate rich topological features of the GBZs in generic non-Hermitian one-dimensional models. We prove and discuss a set of sufficient conditions for the model to ensure the connectivity of its GBZ. In addition, we show th…

Replaced article(s) found for math.GN. https://arxiv.org/list/math.GN/new
[1/1]:
- Semiframes: the algebra of semitopologies and actionable coalitions
Murdoch J. Gabbay

Baryons, skyrmions and $\theta$-periodicity anomaly in chiral and vector-like gauge theories
Stefano Bolognesi, Andrea Luzio, Giacomo Santoni
https://arxiv.org/abs/2510.09866 ht…

Baryons, skyrmions and $θ$-periodicity anomaly in chiral and vector-like gauge theories
In this paper, we study the solitons of chiral gauge theories and vector-like $SU(N)$ gauge theories with matter in mixed one and two-index representations. Focusing on the Color-flavor locked (CFL) phase, we compute the topology of the coset. In the Bars-Yanckielowicz (BY) models, where the selection rules arising from the unbroken symmetry group allow for the decay of any heavy baryon, we find that Skyrmions are absent. Skyrmions are absent also in the Georgi-Glashow (GG) models, where the se…

Continuation strategies to mitigate convergence to low-performing local optima in dynamic topology optimization
Tom De Weer, Vanessa Cool, Elke Deckers
https://arxiv.org/abs/2509.24667

Continuation strategies to mitigate convergence to low-performing local optima in dynamic topology optimization
Solving dynamic topology optimization problems often yields low-performing local optima. Instead of converging towards a design that exploits dynamic mechanisms, a less interesting, mass-driven solution is often generated. This necessitates repeated and computationally expensive optimization reruns before a suitable optimum is found. In this work, an overview of three strategy classes that reduce the need for such reruns is presented: exclusion strategies, frequency shift methods and relaxation…

Replaced article(s) found for math.AT. https://arxiv.org/list/math.AT/new
[1/1]:
- Fine shape of metrizable spaces as a left fraction localization
Vladislav Zemlyanoy

An in-depth look at approximation via deep and narrow neural networks
Joris Dommel, Sven A. Wegner
https://arxiv.org/abs/2510.07202 https://arxiv.org/pdf/2…

An in-depth look at approximation via deep and narrow neural networks
In 2017, Hanin and Sellke showed that the class of arbitrarily deep, real-valued, feed-forward and ReLU-activated networks of width w forms a dense subset of the space of continuous functions on R^n, with respect to the topology of uniform convergence on compact sets, if and only if w>n holds. To show the necessity, a concrete counterexample function f:R^n->R was used. In this note we actually approximate this very f by neural networks in the two cases w=n and w=n+1 around the aforementioned th…

Magnetotransport in Topological Materials and Nonlinear Hall Effect via First-Principles Electronic Interactions and Band Topology
Dhruv C. Desai, Lauren A. Tan, Jin-Jian Zhou, Shiyu Peng, Jinsoo Park, Marco Bernardi
https://arxiv.org/abs/2510.07585

Magnetotransport in Topological Materials and Nonlinear Hall Effect via First-Principles Electronic Interactions and Band Topology
Topological effects arising from the Berry curvature lead to intriguing transport signatures in quantum materials. Two such phenomena are the chiral anomaly and nonlinear Hall effect (NLHE). A unified description of these transport regimes requires a quantitative treatment of both band topology and electron scattering. Here, we show accurate predictions of the magnetoresistance in topological semimetals and NLHE in noncentrosymmetric materials by solving the Boltzmann transport equation (BTE) w…

Neural Guided Sampling for Quantum Circuit Optimization
Bodo Rosenhahn, Tobias J. Osborne, Christoph Hirche
https://arxiv.org/abs/2510.12430 https://arxiv.…

Neural Guided Sampling for Quantum Circuit Optimization
Translating a general quantum circuit on a specific hardware topology with a reduced set of available gates, also known as transpilation, comes with a substantial increase in the length of the equivalent circuit. Due to decoherence, the quality of the computational outcome can degrade seriously with increasing circuit length. Thus, there is major interest to reduce a quantum circuit to an equivalent circuit which is in its gate count as short as possible. One method to address efficient transpi…

Crosslisted article(s) found for math.GT. https://arxiv.org/list/math.GT/new
[1/1]:
- Continuous Inverse Ambiguous Functions on Lie Groups
David Schmitz, Sadman Rahman, Anthony Kindness

Crosslisted article(s) found for math.AT. https://arxiv.org/list/math.AT/new
[1/1]:
- Extensions between functors from Jacobi diagrams in handlebodies
Mai Katada

topology: Internet AS graph (2004)
An integrated snapshot of the structure of the Internet at the level of Autonomous Systems (ASs), reconstructed from multiple sources, including the RouteViews and RIPE BGP trace collectors, route servers, looking glasses, and the Internet Routing Registry databases. This snapshot was created around October 2004.
This network has 34761 nodes and 171403 edges.
Tags: Technological, Communication, Unweighted, Multigraph, Timestamps

Crosslisted article(s) found for math.GN. https://arxiv.org/list/math.GN/new
[1/1]:
- The smallest $n$-pure subtopos and dimension theory
Jens Hemelaer
https://…

Tunable quantum metric and band topology in bilayer Dirac model
Xun-Jiang Luo, Xing-Lei Ma, K. T. Law
https://arxiv.org/abs/2509.23622 https://arxiv.org/pd…

Tunable quantum metric and band topology in bilayer Dirac model
Quantum metric, a fundamental component of quantum geometry, has attracted broad interest in recent years due to its critical role in various quantum phenomena. Meanwhile, band topology, which serves as an important framework in condensed matter physics, has led to the discovery of various topological phases. In this work, we introduce a bilayer Dirac model that allows precise tuning of both properties. Our approach combines two Dirac Hamiltonians with distinct energy scales; one producing rela…

Topology of the Aharonov-Bohm effect in different reference frames
Hiram S. M. Rodrigues, Katson W. O. Ar\'evola, Pablo L. Saldanha
https://arxiv.org/abs/2509.26533 https://…

Topology of the Aharonov-Bohm effect in different reference frames
Recent works showed that the Aharonov-Bohm (AB) phase difference for a quantum charged particle can be written in terms of electric and magnetic fluxes in a spacetime surface whose boundaries are the possible particle worldlines in the interferometer, relative to the possible paths. After presenting this result in a more detailed way, reinforcing its topological nature, we study the magnetic and electric versions of the AB effect in different inertial reference frames. We find a particular refe…

topology: Internet AS graph (2004)
An integrated snapshot of the structure of the Internet at the level of Autonomous Systems (ASs), reconstructed from multiple sources, including the RouteViews and RIPE BGP trace collectors, route servers, looking glasses, and the Internet Routing Registry databases. This snapshot was created around October 2004.
This network has 34761 nodes and 171403 edges.
Tags: Technological, Communication, Unweighted, Multigraph, Timestamps

Replaced article(s) found for math.GT. https://arxiv.org/list/math.GT/new
[1/1]:
- Anosov representations, strongly convex cocompact groups and weak eigenvalue gaps
Konstantinos Tsouvalas

Abelian 3D TQFT gravity, ensemble holography and stabilizer states
Nikolaos Angelinos
https://arxiv.org/abs/2509.26052 https://arxiv.org/pdf/2509.26052

Abelian 3D TQFT gravity, ensemble holography and stabilizer states
We construct a model of 3D quantum gravity based on abelian topological quantum field theory (TQFT), by defining the gravitational path-integral as a sum over all 3D topologies with genus-$g$ boundary $Σ_g$. The path-integral of an abelian TQFT $\mathcal T$ on any single topology with boundary $Σ_g$ prepares a stabilizer state. This way, $\mathcal T$ partitions all these topologies into finitely many equivalence classes, where each topology within a class is associated with the same stabilize…

topology: Internet AS graph (2004)
An integrated snapshot of the structure of the Internet at the level of Autonomous Systems (ASs), reconstructed from multiple sources, including the RouteViews and RIPE BGP trace collectors, route servers, looking glasses, and the Internet Routing Registry databases. This snapshot was created around October 2004.
This network has 34761 nodes and 171403 edges.
Tags: Technological, Communication, Unweighted, Multigraph, Timestamps

Topology-Optimized Dielectric Cavities for Enhanced Excitonic Light Emission from $\rm WSe_{2}$
Owen Matthiessen, Brandon Triplett, Omer Yesilyurt, Davide Cassara, Karthik Pagadala, Morris M. Yang, Andres E. Llacsahuanga Allcca, Hamza Ather, Colton Fruhling, Abhishek Bharatbhai Solanki, Yong P. Chen, Hadiseh Alaeian, Alexander V. Kildishev, Vladimir M. Shalaev, Federico Capasso, Alexandra Boltasseva, Vahagn Mkhitaryan

Topology-Optimized Dielectric Cavities for Enhanced Excitonic Light Emission from $\rm WSe_{2}$
Photonic inverse design and, especially, topology optimization, enable dielectric cavities with deeply sub-diffraction mode volumes and high quality factors, thus offering a powerful platform for enhanced light-matter coupling. Here, we design and fabricate arrays of CMOS-compatible silicon cavities on sapphire with extreme subwavelength transverse mode sizes of only 30-40 nm ($\rm V\simλ^3/2500$). These cavities are engineered for deterministic coupling to a monolayer (or few-layer) excitonic…

Replaced article(s) found for math.AT. https://arxiv.org/list/math.AT/new
[1/1]:
- The Negation Of Singer's Conjecture For The Sixth Algebraic Transfer
Dang Vo Phuc

topology: Internet AS graph (2004)
An integrated snapshot of the structure of the Internet at the level of Autonomous Systems (ASs), reconstructed from multiple sources, including the RouteViews and RIPE BGP trace collectors, route servers, looking glasses, and the Internet Routing Registry databases. This snapshot was created around October 2004.
This network has 34761 nodes and 171403 edges.
Tags: Technological, Communication, Unweighted, Multigraph, Timestamps

A note on the topology of Lefschetz fibrations
Sierra Knavel
https://arxiv.org/abs/2510.03173 https://arxiv.org/pdf/2510.03173

A note on the topology of Lefschetz fibrations
We prove an upper bound for the first Betti number of a nontrivial genus-$g$ Lefschetz fibration. We also show that if the monodromy of a Lefschetz fibration is transitive with respect to the mapping class group, the Lefschetz fibration is simply connected. Lastly, we discuss a potential family of indecomposable genus-2 Lefschetz fibrations with maximally non-trivial first homology which would be candidates for large fundamental group computations, if they exist.

Replaced article(s) found for math.GN. https://arxiv.org/list/math.GN/new
[1/1]:
- Smooth functions which are Morse on preimages of values not being local extrema and constructing ...
Naoki Kitazawa

Turbulence Impacted Beam Statistics and Image Topology with Lorentz Dipole Oscillation
Shouvik Sadhukhan, C. S. Narayanamurthy
https://arxiv.org/abs/2509.25766 https://

Turbulence Impacted Beam Statistics and Image Topology with Lorentz Dipole Oscillation
This work presents a rigorous statistical and geometric framework for analyzing turbulence-impacted beam propagation and image topology with results obtained using a PMMA slab. The approach models beam intensity distributions as n-dimensional data set represented through Gaussian Mixture Models (GMMs), embedding them into the manifold of Symmetric Positive Definite (SPD) matrices. By employing information geometric tools, geodesic distances, and affine-invariant Riemannian metrics, we establish…

Crosslisted article(s) found for math.AT. https://arxiv.org/list/math.AT/new
[1/1]:
- Bigraded Lie algebras and nilpotent fundamental groups of smooth complex algebraic varieties
Taito Shimoji

Strain-Induced Antiferromagnetic-to-Altermagnetic Phase Transition and Topology in $(\mathrm{CrO}_2)_1/(\mathrm{TaO}_2)_2$ Superlattice
Wanfei Shan, Qun Yang, Prineha Narang
https://arxiv.org/abs/2509.21741

Strain-Induced Antiferromagnetic-to-Altermagnetic Phase Transition and Topology in $(\mathrm{CrO}_2)_1/(\mathrm{TaO}_2)_2$ Superlattice
Topological aspects in altermagnets have come into focus recently, and tuning the antiferromagnetic (AFM) state into an altermagnetic phase remains an active frontier. We realize both within a rutile superlattice here in this paper. With first principles calculation, we show that a uniaxial strain of only 0.5$\%$ along the c axis converts the $(\mathrm{CrO}_2)_1/(\mathrm{TaO}_2)_2$ rutile superlattice from a trivial antiferromagnet into an altermagnet with topology accompanied by a weak SOC. Th…

topology: Internet AS graph (2004)
An integrated snapshot of the structure of the Internet at the level of Autonomous Systems (ASs), reconstructed from multiple sources, including the RouteViews and RIPE BGP trace collectors, route servers, looking glasses, and the Internet Routing Registry databases. This snapshot was created around October 2004.
This network has 34761 nodes and 171403 edges.
Tags: Technological, Communication, Unweighted, Multigraph, Timestamps

Replaced article(s) found for math.GT. https://arxiv.org/list/math.GT/new
[1/1]:
- The translation geometry of P\'olya's shires
Rikard B{\o}gvad, Boris Shapiro, Guillaume Tahar, Sangsan Warakkagun

gnutella: Gnutella p2p networks (2002)
A sequence of 9 snapshots of the Gnutella peer-to-peer file sharing network from 5-31 August 2002. Nodes are hosts in the Gnutella network topology and edges are connections between them.
This network has 10879 nodes and 39994 edges.
Tags: Technological, Peer-to-peer, Unweighted
https://

[2025-10-15 Wed (UTC), 3 new articles found for math.AT Algebraic Topology]
toXiv_bot_toot

[2025-10-15 Wed (UTC), 6 new articles found for math.GT Geometric Topology]
toXiv_bot_toot

[2025-10-14 Tue (UTC), 7 new articles found for math.AT Algebraic Topology]
toXiv_bot_toot

internet_top_pop: Internet topology (PoP level) (1969-2012)
Assorted snapshots of internet graph at the Point of Presence (PoP) level (which lies between the IP and AS levels), collected from around the world and at various times. The earliest snapshots are for ARPANET (1969-1972), with a few more from pre-2000. Most are from 2006 onward. Metadata include link type or speed, longitudes, and latitudes of nodes, URL, and date of record.
This network has 22 nodes and 25 edges.

On Geometric Structures in the Einstein Universe for $\mathrm{SO}_0(p,p 1)$-Hitchin Representations
Colin Davalo, Parker Evans
https://arxiv.org/abs/2510.12779 https://

On Geometric Structures in the Einstein Universe for $\mathrm{SO}_0(p,p+1)$-Hitchin Representations
Let $S$ be a closed surface of genus $g \geq 2$. We determine the topology of the fibers of the domain of discontinuity in $\mathrm{Ein}^{p-1,p}$ defined by Guichard-Wienhard and Kapovich-Leeb-Porti for $\mathrm{SO}_0(p,p+1)$-Hitchin representations for $p \geq 3$.

Replaced article(s) found for math.AT. https://arxiv.org/list/math.AT/new
[1/1]:
- LS-category and sequential topological complexity of symmetric products
Ekansh Jauhari

[2025-10-14 Tue (UTC), 5 new articles found for math.GT Geometric Topology]
toXiv_bot_toot

Crosslisted article(s) found for math.AT. https://arxiv.org/list/math.AT/new
[1/1]:
- TASI Lectures On Topological Field Theories And Differential Cohomology
Gregory W. Moore, Vivek Saxena

internet_top_pop: Internet topology (PoP level) (1969-2012)
Assorted snapshots of internet graph at the Point of Presence (PoP) level (which lies between the IP and AS levels), collected from around the world and at various times. The earliest snapshots are for ARPANET (1969-1972), with a few more from pre-2000. Most are from 2006 onward. Metadata include link type or speed, longitudes, and latitudes of nodes, URL, and date of record.
This network has 61 nodes and 89 edges.

Crosslisted article(s) found for math.GT. https://arxiv.org/list/math.GT/new
[1/1]:
- TASI Lectures On Topological Field Theories And Differential Cohomology
Gregory W. Moore, Vivek Saxena

[2025-10-13 Mon (UTC), 1 new article found for math.AT Algebraic Topology]
toXiv_bot_toot

Replaced article(s) found for math.GT. https://arxiv.org/list/math.GT/new
[1/1]:
- Stable equivalence relations on 4-manifolds
Daniel Kasprowski, John Nicholson, Simona Vesel\'a

gnutella: Gnutella p2p networks (2002)
A sequence of 9 snapshots of the Gnutella peer-to-peer file sharing network from 5-31 August 2002. Nodes are hosts in the Gnutella network topology and edges are connections between them.
This network has 26518 nodes and 65369 edges.
Tags: Technological, Peer-to-peer, Unweighted
https://

Replaced article(s) found for math.AT. https://arxiv.org/list/math.AT/new
[1/1]:
- $(\infty,n)$-Limits I: Definition and first consistency results
Lyne Moser, Nima Rasekh, Martina Rovelli

Crosslisted article(s) found for math.AT. https://arxiv.org/list/math.AT/new
[1/1]:
- Computational complexity of the homology problem with orientable filtration: MA-completeness
Ryu Hayakawa, Casper Gyurik, Mahtab Yaghubi Rad, Vedran Dunjko

Replaced article(s) found for math.AT. https://arxiv.org/list/math.AT/new
[1/1]:
- Poset functor cocalculus and applications to topological data analysis
Bj{\o}rnar Gullikstad Hem

Crosslisted article(s) found for math.AT. https://arxiv.org/list/math.AT/new
[1/1]:
- Zigzags and free adjunctions
Lorenzo Riva, Martina Rovelli
https://…

gnutella: Gnutella p2p networks (2002)
A sequence of 9 snapshots of the Gnutella peer-to-peer file sharing network from 5-31 August 2002. Nodes are hosts in the Gnutella network topology and edges are connections between them.
This network has 8114 nodes and 26013 edges.
Tags: Technological, Peer-to-peer, Unweighted
https://

gnutella: Gnutella p2p networks (2002)
A sequence of 9 snapshots of the Gnutella peer-to-peer file sharing network from 5-31 August 2002. Nodes are hosts in the Gnutella network topology and edges are connections between them.
This network has 8717 nodes and 31525 edges.
Tags: Technological, Peer-to-peer, Unweighted
https://

gnutella: Gnutella p2p networks (2002)
A sequence of 9 snapshots of the Gnutella peer-to-peer file sharing network from 5-31 August 2002. Nodes are hosts in the Gnutella network topology and edges are connections between them.
This network has 8717 nodes and 31525 edges.
Tags: Technological, Peer-to-peer, Unweighted
https://