Extending simplicial complexes: topological and combinatorial properties

DOI10.1016/j.disc.2024.114335MaRDI QIDQ6658065

Alireza Shamsian, Mohammad Farrokhi D. G., Ali Akbar Yazdan Pour

Publication date: 8 January 2025

Published in: Discrete Mathematics (Search for Journal in Brave)

zbMATH Keywords

hypergraphsimplicial complexpureshellablesequentially Cohen-Macaulayvertex-decomposable

Mathematics Subject Classification ID

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

Cites Work

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• Balanced vertex decomposable simplicial complexes and their \(h\)-vectors
• Algebraic study on Cameron-Walker graphs
• Chordal and sequentially Cohen-Macaulay clutters
• On rigid circuit graphs
• Shellable graphs and sequentially Cohen-Macaulay bipartite graphs
• On sequentially Cohen-Macaulay complexes and posets
• Algebraic properties of edge ideals via combinatorial topology
• Obstructions to shellability
• Algebraic shifting and sequentially Cohen-Macaulay simplicial complexes
• Cohen-Macaulay properties of square-free monomial ideals
• Cohen-Macaulay graphs
• Combinatorics and commutative algebra.
• Whiskers and sequentially Cohen-Macaulay graphs
• Cohen–Macaulay Graphs and Face Vectors of Flag Complexes
• Vertex decomposable graphs and obstructions to shellability
• Sequentially Cohen-Macaulay edge ideals
• New Classes of Set-theoretic Complete Intersection Monomial Ideals
• A New Construction for Cohen–Macaulay Graphs
• Decompositions of Simplicial Complexes Related to Diameters of Convex Polyhedra
• Shellable nonpure complexes and posets. II
• Connectivity in Hypergraphs
• Shellable Nonpure Complexes and Posets. I

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