Combinatorial characterizations of the Cohen-Macaulayness of the second power of edge ideals

DOI10.1016/j.jcta.2013.02.008zbMath1277.05174arXiv1302.7076OpenAlexW2023322294MaRDI QIDQ385038

Nguyên Công Minh, Tran Nam Trung, Do Trong Hoang

Publication date: 29 November 2013

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.7076

zbMATH Keywords

Cohen-Macaulayedge idealsymbolic powersgeneralized Cohen-MacaulayBipartite graphsBuchsbaum

Mathematics Subject Classification ID

Hypergraphs (05C65) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Cohen-Macaulay modules (13C14) Combinatorial aspects of commutative algebra (05E40)

Related Items (8)

A remark on the local cohomology modules of a union of disjoint matroids ⋮ Buchsbaumness of the second powers of edge ideals ⋮ Cohen-Macaulayness of saturation of the second power of edge ideals ⋮ Depth and regularity of monomial ideals via polarization and combinatorial optimization ⋮ The \(v\)-number of edge ideals ⋮ Level property of ordinary and symbolic powers of Stanley-Reisner ideals ⋮ Cohen–Macaulay graphs with large girth ⋮ A characterization of triangle-free Gorenstein graphs and Cohen-Macaulayness of second powers of edge ideals

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