Chorded complexes and a necessary condition for a monomial ideal to have a linear resolution

DOI10.1016/j.jcta.2013.05.009zbMath1314.05240arXiv1209.5089OpenAlexW2026069272MaRDI QIDQ2349199

E. Connon, Sara Faridi

Publication date: 19 June 2015

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

Full work available at URL: https://arxiv.org/abs/1209.5089

zbMATH Keywords

monomial idealsimplicial complexchordal graphlinear resolutionsimplicial homologyStanley-Reisner complexchordal hypergraphfacet complex

Mathematics Subject Classification ID

Hypergraphs (05C65) Combinatorial aspects of simplicial complexes (05E45)

Related Items (11)

Simplicial orders and chordality ⋮ Deriving some properties of Stanley-Reisner rings from their squarefree zero-divisor graphs ⋮ Stanley-Reisner Rings ⋮ Stability of Betti numbers under reduction processes: towards chordality of clutters ⋮ Exposed circuits, linear quotients, and chordal clutters ⋮ A criterion for a monomial ideal to have a linear resolution in characteristic 2 ⋮ Unnamed Item ⋮ Higher chordality: From graphs to complexes ⋮ Chordality, \(d\)-collapsibility, and componentwise linear ideals ⋮ F-ideals and f-graphs ⋮ Chordality of clutters with vertex decomposable dual and ascent of clutters

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