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

奇客Solidot–传递最新科技情报
奇客Solidot–传递最新科技情报
V
Vulnerabilities – Threatpost
有赞技术团队
有赞技术团队
小众软件
小众软件
O
OpenAI News
C
Cyber Attacks, Cyber Crime and Cyber Security
I
Intezer
NISL@THU
NISL@THU
D
Darknet – Hacking Tools, Hacker News & Cyber Security
N
News and Events Feed by Topic
MongoDB | Blog
MongoDB | Blog
阮一峰的网络日志
阮一峰的网络日志
Hacker News: Ask HN
Hacker News: Ask HN
D
Docker
WordPress大学
WordPress大学
Security Archives - TechRepublic
Security Archives - TechRepublic
A
About on SuperTechFans
Stack Overflow Blog
Stack Overflow Blog
C
CERT Recently Published Vulnerability Notes
L
LINUX DO - 最新话题
Application and Cybersecurity Blog
Application and Cybersecurity Blog
M
MIT News - Artificial intelligence
Blog — PlanetScale
Blog — PlanetScale
S
Security @ Cisco Blogs
Cloudbric
Cloudbric
钛媒体：引领未来商业与生活新知
钛媒体：引领未来商业与生活新知
V
V2EX
Hacker News - Newest:
Hacker News - Newest: "LLM"
G
Google Developers Blog
cs.AI updates on arXiv.org
cs.AI updates on arXiv.org
W
WeLiveSecurity
Google DeepMind News
Google DeepMind News
OSCHINA 社区最新新闻
OSCHINA 社区最新新闻
H
Hackread – Cybersecurity News, Data Breaches, AI and More
G
GRAHAM CLULEY
S
Schneier on Security
T
Tor Project blog
Spread Privacy
Spread Privacy
PCI Perspectives
PCI Perspectives
Microsoft Security Blog
Microsoft Security Blog
cs.CL updates on arXiv.org
cs.CL updates on arXiv.org
F
Fortinet All Blogs
L
Lohrmann on Cybersecurity
Cyber Security Advisories - MS-ISAC
Cyber Security Advisories - MS-ISAC
T
The Exploit Database - CXSecurity.com
TaoSecurity Blog
TaoSecurity Blog
Apple Machine Learning Research
Apple Machine Learning Research
T
Threat Research - Cisco Blogs
T
Troy Hunt's Blog
罗
罗磊的独立博客

math.CO updates on arXiv.org

Complement Submodular Information Measures for Balanced and Robust Data Selection A Proof of a Conjecture on Positive and Negative Square Energies of Unicyclic Graphs Laplacian Spectrum of the Weakly Zero-Divisor Graph of a Finite Commutative Ring An identity for second Eulerian numbers via lattice-point counting $t$-tone edge coloring of graphs Constructing Maximal Bumpless Pipedreams for Double Grothendieck Polynomials Mubayi's Polynomial-Ideal Conjecture and Cover-Ideal Turán Methods Implicit Binarization via Complex Phase Dynamics in Combinatorial Optimization The limits of Schur multipliers in Pólya conversion problems for the $q$-permanent function Universality theorems for generalized splines Framing Triangulations for Arbitrary Integer Flow Polytopes On the Common Generalization of Gentle Algebras and Framed Directed Acyclic Graphs The complexity of frugal digraph homomorphisms Chaotic and periodic behavior of jeu de taquin on infinite Young tableaux Enumerating Pattern Avoiding Parking Functions Incidence toric ideals and three-point functions Unique Winning Opening Move in Three-Row Chomp Strong majority colorings of graphs A Balancing Theorem for Spanning Trees of Rectangular Grid Graphs Spectral radius and edge-disjoint connected factors of graphs New invariants for rank metric codes, with applications to the classification of rank two semifields of order 256 Flexible DP-4-coloring of planar graphs without 4-cycles and intersecting triangles Balanced intersection size distributions in projective planes List Reconstruction Problem with List Size Two Is Dimensionality a Barrier for Retrieval Models? The INIEP: Irreducible and Positive Realizations The number of Pfaffian orientations on punctured polygonally cellulated surfaces Explicit Construction of Polytopes whose Ehrhart Polynomials Realize any Given Sign Pattern Finite-state enumeration of adjacency-constrained 132-avoiding permutations AMDS and quantum AMDS Constacyclic codes of length $4p^ς$ over $\mathbb{F}_{{p}^{m}}$ Weisfeiler-Leman Is Incomplete on Simple Spectrum Graphs, so Canonicalize Them A superlinear improvement on line-free sets in $\mathbb{F}_p^3$ Central limit theorems for high dimensional lattice polytopes: cosmological polytopes Finding blowups one vertex at a time Maximum Probability of Independence in Transitive Matroids Higher Rank-Support Weights and q-Polymatroids Localized Turán-type inequalities for $Q$-index Functional codes arising from rank $n$ Hermitian varieties and hypersurfaces in low dimensions Generalizing OOOOOOB Complex Representations of Groups and Involutions of its Automorphisms Distributions of Iwasawa $λ$-invariants of $\mathbf{Z}_p$-towers over supersingular isogeny graphs The Closure of LCD-to-GI Reductions via Generalized Inner Products Sets of large values of polynomial multi-correlation functions Polylogarithmic Full-Chord Buffon Discrepancy Star-Shaped Integral Cartan-Type Matrices and an Egyptian-Fraction Classification of Affine Weighted Trees Symplectic lattice counting and zeta functions of higher Heisenberg groups Concise and elegant proofs of three formulas for complete Bell polynomials On Reed-Muller subcodes, Grassmannian partitions and sum-free functions Holographic functions and neural networks An Ore-type condition for $H$-tilings in graphs From Halin's Edge Removability to Matching Removability in $k$-Connected Graphs Reciprocals of Partition Polynomials A Comprehensive Study of Clique Graphs and Clique Regular Graphs Targeting Clause Type Distributions: a Picklock for Random Satisfiability Problems Hypercube geodesics with few colour changes Every signed planar graph is $5$-choosable: A short proof and refinements The Symmetries of Three-Layer ReLU Networks The Geometry of Cooperative Game Solutions: Stratified Egalitarian Shapley Values An Axiomatic Theory of Tie-Breaking: Impossibility, Characterization, and Decomposition Every Minimal Counterexample to the Erdős-Gyárfás Conjecture is Predominantly Cubic TriVAL: A Tri-Validation Framework for Faithful Automatic Optimization Modeling Learning Minimally Rigid Graphs with High Realization Counts Geometry of Rényi Entropy on the Majorization Lattice On $\ell$-weakly cross $t$-intersecting families for sets and vector spaces Invariant-Based Diagnostics for Graph Benchmarks Thresholds for Tic-Tac-Toe on Finite Affine Spaces Almost-Orthogonality in Lp Spaces: A Case Study with Grok On the Architectural Complexity of Neural Networks Most ReLU Networks Admit Identifiable Parameters A Partition-Based Generating Function for Row-Convex Polyominoes Word-Representability of Shift Graphs Trees and Graphs with Non Log-concave Dominating Set Sequence via AI Tools The Banach-Butterfly Invariant: Influence-Adaptive Walsh Geometry for Ternary Polynomial Threshold Functions New Bounds for Zarankiewicz Numbers via Reinforced LLM Evolutionary Search Order-Sensitive Sequential Interventions on Ideal Lattices Mathematical Foundations for Peer-to-Peer Lattice Computation Doubly Saturated Ramsey Graphs: A Case Study in Computer-Assisted Mathematical Discovery A weighted angle distance on strings Achieving the Kesten-Stigum bound in the non-uniform hypergraph stochastic block model A Complete Symmetry Classification of Shallow ReLU Networks Ollivier-Ricci Curvature of Riemannian Manifolds and Directed Graphs with Applications to Graph Neural Networks Adaptive Threshold-Driven Continuous Greedy Method for Scalable Submodular Optimization A semicontinuous relaxation of Saito's criterion and freeness as angular minimization Representing Higher-Order Networks: A Survey of Graph-Based Frameworks Reinforced Generation of Combinatorial Structures: Ramsey Numbers Two Dimensional Subtraction -- Transfer Games Almost All Vectorial Functions Have Trivial Extended-Affine Stabilizers Split-Twin Extensions Preserving Seymour Vertices Three formulas for CSM classes of open quiver loci Möbius transforms and Shapley values for vector-valued functions on weighted directed acyclic multigraphs The existence of unexpected automorphisms in direct product graphs When are Hopf algebras determined by integer sequences? Self-affine quadrangles Pointwise order of generalized Hofstadter functions G, H and beyond Strong Embeddings of 3-Connected Cubic Planar Graphs on Surfaces of non-negative Euler Characteristic A Mathematical Reconstruction of Endothelial Cell Networks Progressive and Rushed Dyck Paths Symmetric noncrossing partitions of an annulus with double points Improved Bounds for Multicovering Hypergraphs The pre-Pieri rules
Well Ordered Covers, Simplicial Bouquets, and Subadditivity of Betti Numbers of Square-Free Monomial Ideals
Sara Faridi, Mayada Shahada · 2021-06-03 · via math.CO updates on arXiv.org

Well ordered covers of square-free monomial ideals are subsets of the minimal generating set ordered in a certain way that give rise to a Lyubeznik resolution for the ideal, and have guaranteed nonvanishing Betti numbers in certain degrees. This paper is about square-free monomial ideals which have a well ordered cover. We consider the question of subadditivity of syzygies of square-free monomial ideals via complements in the lcm lattice of the ideal, and examine how lattice complementation breaks well ordered covers of the ideal into (well ordered) covers of subideals. We also introduce a family of well ordered covers called strongly disjoint sets of simplicial bouquets (generalizing work of Kimura on graphs), which are relatively easy to identify in simplicial complexes. We examine the subadditivity property via numerical characteristics of these bouquets.

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。