Equivariant collapses and the homotopy type of iterated clique graphs

DOI10.1016/j.disc.2007.06.021zbMath1171.05387OpenAlexW2089816492MaRDI QIDQ932589

F. Larrión, Rafael Villarroel-Flores, Miguel A. Pizaña

Publication date: 11 July 2008

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

Full work available at URL: https://doi.org/10.1016/j.disc.2007.06.021

zbMATH Keywords

homotopy typegraphssimple-homotopyclique graphs

Mathematics Subject Classification ID

Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) (05C69)

Related Items (8)

On the iterated edge-biclique operator ⋮ On the edge‐biclique graph and the iterated edge‐biclique operator ⋮ Almost every graph is divergent under the biclique operator ⋮ Foldings in graphs and relations with simplicial complexes and posets ⋮ Discrete Morse theory and the homotopy type of clique graphs ⋮ Edge contraction and edge removal on iterated clique graphs ⋮ On the Iterated Biclique Operator ⋮ The number of convergent graphs under the biclique operator with no twin vertices is finite

Cites Work

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• Clique graphs and Helly graphs
• Convergence of iterated clique graphs
• Equivariant homotopy of posets and some applications to subgroup lattices
• On clique divergent graphs with linear growth
• Dismantlings and iterated clique graphs
• Clique divergent clockwork graphs and partial orders
• On clique convergent graphs
• Locally \(C_6\) graphs are clique divergent
• Über iterierte Clique-Graphen

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