Shellable quasi-forests and their \(h\)-triangles

DOI10.1007/s00229-011-0476-3zbMath1246.13029OpenAlexW2009314273MaRDI QIDQ663317

Siamak Yassemi, Afshin Goodarzi

Publication date: 14 February 2012

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-011-0476-3

zbMATH Keywords

shellable simplicial complexface ringsequentially Cohen-Macaulay\(h\)-trianglequasi-forest

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 (1)

Clique vectors of \(k\)-connected chordal graphs

Cites Work

• On rigid circuit graphs
• Kruskal-Katona type theorems for clique complexes arising from chordal and strongly chordal graphs
• Obstructions to shellability
• Algebraic shifting and sequentially Cohen-Macaulay simplicial complexes
• Dirac's theorem on chordal graphs and Alexander duality
• Combinatorics and commutative algebra.
• Erdős-Ko-Rado theorems for simplicial complexes
• Threshold graphs, shifted complexes, and graphical complexes
• Cohen--Macaulay chordal graphs
• Resolutions of Facet Ideals
• Decompositions of Simplicial Complexes Related to Diameters of Convex Polyhedra
• Shellable Nonpure Complexes and Posets. I
• Monomial Ideals

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