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Moody Urbanity - Stand 🧍‍♂️
情绪化城市 - 立 🧍‍♂️
📷 Nikon FE
🎞️ Ilford HP5 Plus 400, expired 1993
#filmphotography #Photography #blackandwhite

A CSP approach to Graph Sandwich Problems
Manuel Bodirsky, Santiago Guzm\'an-Pro
https://arxiv.org/abs/2510.09128 https://arxiv.org/pdf/2510.09128

A CSP approach to Graph Sandwich Problems
The \emph{Sandwich Problem} (SP) for a graph class $\calC$ is the following computational problem. The input is a pair of graphs $(V,E_1)$ and $(V,E_2)$ where $E_1\subseteq E_2$, and the task is to decide whether there is an edge set $E$ where $E_1\subseteq E \subseteq E_2$ such that the graph $(V,E)$ belongs to $\calC$. In this paper we show that many SPs correspond to the constraint satisfaction problem (CSP) of an infinite $2$-edge-coloured graph $H$. We then notice that several known comple…

No Sign of a Magnetar Remnant Following the Kilonova-Producing Long GRB 211211A $\sim 1.7~$Years Later
Genevieve Schroeder (Cornell), Ben Margalit, Brian D. Metzger, Wen-fai Fong, Benjamin P. Gompertz, Kate D. Alexander, Edo Berger, Tanmoy Laskar, Gavin P. Lamb, Andrew Levan, Charles D. Kilpatrick, Jillian C. Rastinejad
https://arxiv.org/a…

No Sign of a Magnetar Remnant Following the Kilonova-Producing Long GRB 211211A $\sim 1.7~$Years Later
In addition to a $γ$-ray burst (GRB), the merger of two neutron stars may produce a temporarily or indefinitely stable neutron star remnant with a strong magnetic field (a "magnetar"). As this magnetar remnant spins down, it can deposit its rotational energy into the surrounding kilonova ejecta, producing synchrotron emission that peaks in the radio bands $\sim$months-years after the merger ("boosted kilonova"). The nearby ($z=0.0763$) long-duration GRB 211211A, which has an apparent kilonova …

Moody Urbanity - Relations V 🪢
情绪化城市 - 关系 V 🪢
📷 Minolta Hi-Matic AF
🎞️ Shanghai GP3 400 Pan
#filmphotography #Photography #blackandwhite

Learning Generalizable Shape Completion with SIM(3) Equivariance
Yuqing Wang, Zhaiyu Chen, Xiao Xiang Zhu
https://arxiv.org/abs/2509.26631 https://arxiv.or…

Learning Generalizable Shape Completion with SIM(3) Equivariance
3D shape completion methods typically assume scans are pre-aligned to a canonical frame. This leaks pose and scale cues that networks may exploit to memorize absolute positions rather than inferring intrinsic geometry. When such alignment is absent in real data, performance collapses. We argue that robust generalization demands architectural equivariance to the similarity group, SIM(3), so the model remains agnostic to pose and scale. Following this principle, we introduce the first SIM(3)-equi…

Signless Laplacian characterization of cones over disjoint unions of cycles, edges and isolated vertices
Jiachang Ye, Jianguo Qian, Zoran Stanic
https://arxiv.org/abs/2509.25925

Signless Laplacian characterization of cones over disjoint unions of cycles, edges and isolated vertices
Two graphs are said to be $Q$-cospectral if they share the same signless Laplacian spectrum. A simple graph is said to be determined by its signless Laplacian spectrum (abbreviated as DQS) if there exists no other non-isomorphic simple graph with the same signless Laplacian spectrum. In this paper, we establish the following results: (1) Let$G \cong K_{1} \vee \bigl(C_{k} \cup qK_{2} \cup sK_{1}\bigr),$ with $q,s \geq 1$, $k \geq 4$, and at least $21$ vertices. If $k$ is odd, then $G$ is DQS.…

Feit's conjecture, the canonical Brauer induction formula, and Adams operations
Robert Boltje, Gabriel Navarro
https://arxiv.org/abs/2510.03179 https://

Feit's conjecture, the canonical Brauer induction formula, and Adams operations
This paper is motivated by a strong version of Feit's conjecture, first formulated by the authors in joint work with A. Kleshchev and P. H. Tiep in 2025, concerning the conductor $c(χ)$ of an irreducible character $χ$ of a finite group $G$. We connect the conjecture with the following construction: For any positive integer $n$ dividing the exponent of $G$ and for any character $χ$ of $G$, we introduce an integer-valued invariant $S(G,χ,n)$ which can be defined as the sum of certain coeffici…