Powers of Square-Free Monomial Ideals and Combinatorics

DOI10.1007/978-1-4614-5292-8_11zbMath1262.13036arXiv1303.6642OpenAlexW2030021597MaRDI QIDQ4915762

Huy Tái Hà, Christopher A. Francisco, Jeffrey Mermin

Publication date: 12 April 2013

Published in: Commutative Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.6642

zbMATH Keywords

squarefree monomial idealsstrong perfect graph theoremConforti-Cornuéjols conjecture

Mathematics Subject Classification ID

Hypergraphs (05C65) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55)

Related Items (11)

A study of a family of monomial ideals ⋮ Consequences of the packing problem ⋮ Stanley-Reisner Rings ⋮ Classes of normally and nearly normally torsion-free monomial ideals ⋮ An algebraic formulation of hypergraph colorings ⋮ Comparison of symbolic and ordinary powers of parity binomial edge ideals ⋮ Symbolic Powers of Monomial Ideals and Cohen-Macaulay Vertex-Weighted Digraphs ⋮ A note on the Alexander dual of path ideals of rooted trees ⋮ Membership criteria and containments of powers of monomial ideals ⋮ Depth and regularity of monomial ideals via polarization and combinatorial optimization ⋮ Symbolic powers of certain cover ideals of graphs

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