On the homotopy type of complexes of graphs with bounded domination number

zbMath1498.55007arXiv1901.07130MaRDI QIDQ3391334

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Publication date: 28 March 2022

Full work available at URL: https://arxiv.org/abs/1901.07130

zbMATH Keywords

homotopy typedomination numberdiscrete Morse theoryacyclic matchingcomplex of graph property

Mathematics Subject Classification ID

Classification of homotopy type (55P15) Discrete Morse theory and related ideas in manifold topology (57Q70)

Cites Work

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• The main theorem of discrete Morse theory for Morse matchings with finitely many rays
• Discrete gradient fields on infinite complexes
• On optimizing discrete Morse functions
• Homology of certain sets of 2-subgroups of symmetric groups
• Complexes of not \(i\)-connected graphs
• Morse theory for cell complexes
• Minimal resolutions and the homology of matching and chessboard complexes
• Laplacian and homology of free two-step nilpotent Lie algebras
• Topology of bounded-degree graph complexes.
• The fundamental group of the Quillen complex of the symmetric group
• Simplicial complexes of graphs
• Topology of matching, chessboard, and general bounded degree graph complexes
• Representation-theoretic interpretation of a formula of D. E. Littlewood
• Morse Theory

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