Tootfinder

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: 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: 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

[2025-11-14 Fri (UTC), 1 new article found for math.GN General Topology]
toXiv_bot_toot

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://

Topological Structure of Infrared QCD
J. Gamboa
https://arxiv.org/abs/2511.07455 https://arxiv.org/pdf/2511.07455 https://arxiv.org/html/2511.07455
arXiv:2511.07455v1 Announce Type: new
Abstract: We investigate the infrared structure of QCD within the adiabatic approximation, where soft gluon configurations evolve slowly compared to the fermionic modes. In this formulation, the functional space of gauge connections replaces spacetime as the natural arena for the theory, and the long-distance behavior is encoded in quantized Berry phases associated with the infrared clouds. Our results suggest that the infrared sector of QCD exhibits features reminiscent of a \emph{topological phase}, similar to those encountered in condensed-matter systems, where topological protection replaces dynamical confinement at low energies. In this geometric framework, color-neutral composites such as quark--gluon and gluon--gluon clouds arise as topological bound states described by functional holonomies. Illustrative applications to hadronic excitations are discussed within this approach, including mesonic and baryonic examples. This perspective provides a unified picture of infrared dressing and topological quantization, establishing a natural bridge between non-Abelian gauge theory, adiabatic Berry phases, and the topology of the space of gauge configurations.
toXiv_bot_toot

[2025-11-13 Thu (UTC), 1 new article found for math.GN General Topology]
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

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: 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: 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

[2025-11-12 Wed (UTC), no new articles found for math.GN General Topology]
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

Replaced article(s) found for math.GN. https://arxiv.org/list/math.GN/new
[1/1]:
- An Adaptation of the Vietoris Topology for Ordered Compact Sets
Christopher Caruvana, Jared Holshouser
https://arxiv.org/abs/2507.17936 https://mastoxiv.page/@arXiv_mathGN_bot/114912817437529340
- No Nowhere Constant Continuous Function Maps All Non-Normal Numbers to Normal Numbers
Chokri Manai
https://arxiv.org/abs/2506.15422 https://mastoxiv.page/@arXiv_mathNT_bot/114709233846620023
toXiv_bot_toot

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

[2025-11-11 Tue (UTC), 3 new articles found for math.GN General Topology]
toXiv_bot_toot

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://

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

[2025-11-10 Mon (UTC), no new articles found for math.GN General Topology]
toXiv_bot_toot

Crosslisted article(s) found for cond-mat.other. https://arxiv.org/list/cond-mat.other/new
[1/1]:
- Dynamical topology of chiral and nonreciprocal state transfers in a non-Hermitian quantum system
Pengfei Lu, Yang Liu, Qifeng Lao, Teng Liu, Xinxin Rao, Ji Bian, Hao Wu, Feng…

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.

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.
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 24 nodes and 37 edges.

[2025-11-07 Fri (UTC), 3 new articles found for math.GN General Topology]
toXiv_bot_toot

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://

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.
toXiv_bot_toot

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://

Certain results on selection principles associated with bornological structure in topological spaces
Debraj Chandra, Subhankar Das, Nur Alam
https://arxiv.org/abs/2511.04038 https://arxiv.org/pdf/2511.04038 https://arxiv.org/html/2511.04038
arXiv:2511.04038v1 Announce Type: new
Abstract: We study selection principles related to bornological covers in a topological space $X$ following the work of Aurichi et al., 2019, where selection principles have been investigated in the function space $C_\mathfrak{B}(X)$ endowed with the topology $\tau_\mathfrak{B}$ of uniform convergence on bornology $\mathfrak{B}$. We show equivalences among certain selection principles and present some game theoretic observations involving bornological covers. We investigate selection principles on the product space $X^n$ equipped with the product bornolgy $\mathfrak{B}^n$, $n\in \omega$. Considering the cardinal invariants such as the unbounding number ($\mathfrak{b}$), dominating numbers ($\mathfrak{d}$), pseudointersection numbers ($\mathfrak{p}$) etc., we establish connections between the cardinality of base of a bornology with certain selection principles. Finally, we investigate some variations of the tightness properties of $C_\mathfrak{B}(X)$ and present their characterizations in terms of selective bornological covering properties of $X$.
toXiv_bot_toot

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://