Expansion of a simplicial complex

DOI10.1142/S0219498816500043zbMath1338.13041arXiv1601.00456MaRDI QIDQ2788749

Somayeh Moradi, Fahimeh Khosh-Ahang Ghasr

Publication date: 22 February 2016

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.00456

zbMATH Keywords

regularityprojective dimensionexpansionCohen-Macaulayedge idealvertex decomposableshellable

Mathematics Subject Classification ID

Homological dimension and commutative rings (13D05) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Cohen-Macaulay modules (13C14)

Related Items (12)

On the Stanley-Reisner ideal of an expanded simplicial complex ⋮ Strong shellability of simplicial complexes ⋮ A new view toward vertex decomposable graphs ⋮ Locally finite complexes, modules and generalized information systems ⋮ Some classes of abstract simplicial complexes motivated by module theory ⋮ Edgewise strongly shellable clutters ⋮ Boolean graphs are Cohen–Macaulay ⋮ On the facet ideal of an expanded simplicial complex ⋮ Shedding vertices of vertex decomposable well-covered graphs ⋮ Set relations and set systems induced by some families of integral domains ⋮ Shellability of polyhedral joins of simplicial complexes and its application to graph theory ⋮ Cohen-Macaulay growing graphs

Uses Software

• Macaulay2

Cites Work

• Progress in commutative algebra 1. Combinatorics and homology
• Colorings of hypergraphs, perfect graphs, and associated primes of powers of monomial ideals
• Cohen-Macaulay admissible clutters
• Shellable graphs and sequentially Cohen-Macaulay bipartite graphs
• Sequentially Cohen-Macaulay bipartite graphs: Vertex decomposability and regularity
• Cohen-Macaulay quotients of polynomial rings
• Resolutions of Stanley-Reisner rings and Alexander duality
• Cohen-Macaulay graphs
• Simplicial trees are sequentially Cohen-Macaulay
• Dirac's theorem on chordal graphs and Alexander duality
• Whiskers and sequentially Cohen-Macaulay graphs
• Monomial ideals, edge ideals of hypergraphs, and their graded Betti numbers
• Cohen–Macaulay Graphs and Face Vectors of Flag Complexes
• Resolutions of Facet Ideals
• Vertex decomposable graphs and obstructions to shellability
• Sequentially Cohen-Macaulay edge ideals
• Shellable Cactus Graphs
• Shellable nonpure complexes and posets. II
• Shellable Nonpure Complexes and Posets. I
• Regularity and projective dimension of the edge ideal of $C_5$-free vertex decomposable graphs

This page was built for publication: Expansion of a simplicial complex