Decomposable clutters and a generalization of Simon's conjecture

DOI10.1016/j.jalgebra.2019.03.037zbMath1420.13028arXiv1807.11012OpenAlexW2963709421WikidataQ122875891 ScholiaQ122875891MaRDI QIDQ2419475

Ali Akbar Yazdan Pour, Mina Bigdeli, Rashid Zaare-Nahandi

Publication date: 13 June 2019

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

Full work available at URL: https://arxiv.org/abs/1807.11012

zbMATH Keywords

shellable simplicial complexlinear resolutionlinear quotientschordal clutterdecomposable clutter

Mathematics Subject Classification ID

Hypergraphs (05C65) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Syzygies, resolutions, complexes and commutative rings (13D02) Combinatorial aspects of simplicial complexes (05E45)

Related Items

Partition and Cohen-Macaulay extenders ⋮ Completing and extending shellings of vertex decomposable complexes ⋮ Extendable shellability for \(d\)-dimensional complexes on \(d+3\) vertices ⋮ Non-ridge-chordal complexes whose clique complex has shellable Alexander dual ⋮ Exposed circuits, linear quotients, and chordal clutters ⋮ Chordality of clutters with vertex decomposable dual and ascent of clutters ⋮ On the third squarefree Veronese subring ⋮ Completing and Extending Shellings of Vertex Decomposable Complexes

Cites Work

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