惯性聚合 高效追踪和阅读你感兴趣的博客、新闻、科技资讯
阅读原文 在惯性聚合中打开

推荐订阅源

PCI Perspectives
PCI Perspectives
博
博客园 - Franky
M
MIT News - Artificial intelligence
B
Blog
P
Privacy International News Feed
T
The Exploit Database - CXSecurity.com
F
Full Disclosure
The Register - Security
The Register - Security
P
Proofpoint News Feed
T
Threat Research - Cisco Blogs
腾
腾讯CDC
Project Zero
Project Zero
cs.CL updates on arXiv.org
cs.CL updates on arXiv.org
T
Threatpost
人人都是产品经理
人人都是产品经理
Last Week in AI
Last Week in AI
Hugging Face - Blog
Hugging Face - Blog
Simon Willison's Weblog
Simon Willison's Weblog
CTFtime.org: upcoming CTF events
CTFtime.org: upcoming CTF events
Know Your Adversary
Know Your Adversary
Vercel News
Vercel News
C
CXSECURITY Database RSS Feed - CXSecurity.com
P
Privacy & Cybersecurity Law Blog
Cyberwarzone
Cyberwarzone
罗
罗磊的独立博客
让小产品的独立变现更简单 - ezindie.com
让小产品的独立变现更简单 - ezindie.com
S
Schneier on Security
月光博客
月光博客
酷 壳 – CoolShell
酷 壳 – CoolShell
B
Blog RSS Feed
IT之家
IT之家
freeCodeCamp Programming Tutorials: Python, JavaScript, Git & More
V
V2EX
T
The Blog of Author Tim Ferriss
P
Palo Alto Networks Blog
Google DeepMind News
Google DeepMind News
Apple Machine Learning Research
Apple Machine Learning Research
Scott Helme
Scott Helme
Recorded Future
Recorded Future
A
About on SuperTechFans
博
博客园 - 【当耐特】
H
Help Net Security
宝玉的分享
宝玉的分享
C
CERT Recently Published Vulnerability Notes
D
DataBreaches.Net
美
美团技术团队
T
Tenable Blog
C
Cybersecurity and Infrastructure Security Agency CISA
雷峰网
雷峰网
V
Vulnerabilities – Threatpost

math.CO updates on arXiv.org

A complete solution to the biased Alon-Krivelevich-Spencer-Szabó criterion problem for the discrepancy game Krahn-Szegő type inequalities for graphs $\boldsymbol{2}$-Neighbor Bootstrap Percolation on Odd Graphs Modular inequalities and Alexander polynomials of pencil type conic-line arrangements Counterexamples regarding elementary symmetric partitions Bounds on Multiple $b$-Burst Deletion-Correcting Codes The mex statistic on combinatorial structures Proper Additive Edge Colorings of Regular Graphs Off-diagonal Ramsey numbers Extremality in semidistributive lattices Three formulas for CSM classes of open quiver loci Roman $\{2\}$-domination on Graphs with "few" 4-paths Circularity and Symmetries of $p$ and $p^{2}$-polygons Finding Kissing Numbers with Game-theoretic Reinforcement Learning Directed Hamiltonicity in Generalized Kneser Graphs Inferring DAGs and Phylogenetic Networks from Least Common Ancestors Additive structures imply more distances in $\mathbb{F}_q^d$ Semi-inducibility of 4-vertex graphs A Structural Condition on Point Sets with Few Distinct Dot Products A quantum N-dimer model Möbius transforms and Shapley values for vector-valued functions on weighted directed acyclic multigraphs Well quasi-order and atomicity for combinatorial structures under consecutive orders The Permanent Rank of a Matrix (Part Three) Note on the Additive Basis Conjecture Complexity of the Zero Set of a Matrix Schubert Ideal The existence of unexpected automorphisms in direct product graphs Reconstruction of oriented matroids from Varchenko-Gelfand algebras Addition theorems for Ziegler pairs of hyperplane arrangements Combinatorial proofs of Petrie Pieri rule and Plethystic Pieri rule Asymptotic structure. III. Excluding a fat tree Asymptotic structure. V. The coarse Menger conjecture in bounded path-width Word-Representable Co-Bipartite Graphs: Vertex Ordering, Representation Number, Speed, and Entropy Borel Kernels in Borel Directed Graphs Large induced subgraphs with prescribed degree parity Maya-Tupi graphs: a generalization of split graphs Recursions, Trains, Trees, and Combinatorial Rod Set Algebra Sufficient minimum degree conditions for the existence of highly connected or edge-connected subgraphs Ramsey numbers for 1-degenerate 3-graphs Bipartite graphs with minimum degree at least 15 are antimagic A coarse Halin Grid Theorem with applications to quasi-transitive, locally finite graphs Bounds on the game isolation number and exact values for paths and cycles Minors of non-hamiltonian polyhedra and the Herschel family Notes on sum-free sets in abelian groups When are Hopf algebras determined by integer sequences? A note on the irrationality of $ζ_2(5)$ Support-sensitive bounds for shortest zero-sum subsequences Weighted Random Dot Product Graphs More efficient sifting for grid norms, and applications to multiparty communication complexity Ordered Yao graphs: maximum degree, edge density, and clique numbers Refined enumeration of planar Eulerian orientations Real algebraic surfaces biholomorphically equivalent but not algebraically equivalent Bubble sort and Howe duality for staircase matrices Self-affine quadrangles Borel Local Lemma: arbitrary random variables and limited exponential growth Dynamic capacity allocation of hybrid transportation units for cargo-hitching in urban public transportation systems An Efficient Genus Algorithm Based on Graph Rotations Neural Networks and (Virtual) Extended Formulations Some conjectures on $r$-graphs and equivalences Pointwise order of generalized Hofstadter functions G, H and beyond On the periodic decompositions of multidimensional configurations Strong Embeddings of 3-Connected Cubic Planar Graphs on Surfaces of non-negative Euler Characteristic Higher-rank trees arising from polyhedral graphs $L^p$ averages of the Fourier transform in finite fields A Bijection between Stacked Directed Polyominoes and Motzkin Paths with Alternative Catastrophes Open problems on relations of numerical semigroups Alcove walk models for parabolic Mirković-Vilonen intersections and branching to Levi subgroups A Mathematical Reconstruction of Endothelial Cell Networks Matchings in the hypercube with specified edges Geometric planted matchings beyond the Gaussian model Extensions and Deletions of matroid classes closed under flats String attractors and bi-infinite words Progressive and Rushed Dyck Paths Some results on Kleitman's conjecture Symmetric noncrossing partitions of an annulus with double points On two families of Nekrasov-Okounkov type formulas A remark on certain restricted plane partitions and crystal melting model Lecture hall graphs and the Askey scheme The Partial Partition Complex Generating functions of substitutions Standard Monomials for Positroid Varieties Tiling dense hypergraphs A structural duality for path-decompositions into parts of small radius The grid-minor theorem revisited Sumsets and entropy revisited Structure of cell decompositions in Extremal Szemerédi-Trotter examples Coloring, List Coloring, and Painting Squares of Graphs (and other related problems) Determining a Points Configuration from a Subset of the Pairwise Distances Improved Bounds for Multicovering Hypergraphs Totally Nonnegative Tropical Flags and the Totally Nonnegative Flag Dressian Enumeration of Odd-Dimensional Partitions modulo 4 Principal Specialization of Monomial Symmetric Polynomials and Group Determinants of Cyclic Groups Multidimensional Manhattan Preferences Embeddings of $k$-complexes in $2k$-manifolds and minimum rank of partial symmetric matrices The pre-Pieri rules Synchronization of strongly connected partial DFAs and prefix codes Large rainbow matchings in edge-colored graphs Surface cluster algebra expansion formulae via loop graphs Lattice structure of Weyl groups via representation theory of preprojective algebras A Cambrian framework for the oriented cycle Combinatorial frameworks for cluster algebras Sortable Elements for Quivers with Cycles
A sufficient condition for generalized spectral characterization of graphs with loops
Alexander Van Werde · 2025-11-25 · via math.CO updates on arXiv.org

Sufficient conditions for a simple graph to be characterized up to isomorphism given its spectrum and the spectrum of its complement graph are known due to Wang and Xu. This note establishes a related sufficient condition in the presence of loops: if the walk matrix has square-free determinant, then the graph is characterized by its generalized spectrum. The proof includes a general result about symmetric integral matrices.

此内容由惯性聚合(RSS阅读器)自动聚合整理，仅供阅读参考。 原文来自 — 版权归原作者所有。