Shellability of polyhedral joins of simplicial complexes and its application to graph theory

DOI10.37236/11295OpenAlexW4280615928MaRDI QIDQ2088694

Kengo Okura

Publication date: 6 October 2022

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2205.03869

zbMATH Keywords

lexicographic products of graphsshellability of the independence complex of a graph

Mathematics Subject Classification ID

Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Topological properties in algebraic geometry (14F45) Combinatorial aspects of simplicial complexes (05E45) Graph operations (line graphs, products, etc.) (05C76)

Cites Work

• Unnamed Item
• Algebraic study on Cameron-Walker graphs
• On polyhedral product spaces over polyhedral joins
• Shellable graphs and sequentially Cohen-Macaulay bipartite graphs
• Expansion of a simplicial complex
• Substitutions of polytopes and of simplicial complexes, and multigraded betti numbers
• Vertex decomposable graphs and obstructions to shellability
• Shellable nonpure complexes and posets. II
• Shellability, vertex decomposability, and lexicographical products of graphs
• Shellable Nonpure Complexes and Posets. I
• Operations on polyhedral products and a new topological construction of infinite families of toric manifolds

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