On Generalization of Cycles and Chordality to Clutters from an Algebraic Viewpoint

DOI10.1142/S1005386717000402zbMath1387.13046arXiv1601.03207MaRDI QIDQ4594978

Ashkan Nikseresht, Rashid Zaare-Nahandi

Publication date: 27 November 2017

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

Full work available at URL: https://arxiv.org/abs/1601.03207

zbMATH Keywords

cyclesimplicial complexlinear resolutionsquarefree monomial idealchordal clutter

Mathematics Subject Classification ID

Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Combinatorial aspects of simplicial complexes (05E45)

Related Items (12)

Simplicial orders and chordality ⋮ Deriving some properties of Stanley-Reisner rings from their squarefree zero-divisor graphs ⋮ On Gorenstein circulant graphs ⋮ Decomposable clutters and a generalization of Simon's conjecture ⋮ Line graphs with a Cohen-Macaulay or Gorenstein clique complex ⋮ Edgewise strongly shellable clutters ⋮ Multigraded minimal free resolutions of simplicial subclutters ⋮ Trung's construction and the Charney-Davis conjecture ⋮ Exposed circuits, linear quotients, and chordal clutters ⋮ Unnamed Item ⋮ Chordality, \(d\)-collapsibility, and componentwise linear ideals ⋮ Chordality of clutters with vertex decomposable dual and ascent of clutters

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