A note on the pure Morse complex of a graph

DOI10.1016/J.TOPOL.2007.04.023zbMath1185.57002OpenAlexW1970131123MaRDI QIDQ952613

José Antonio Vilches, Rafael Ayala, Luis M. Fernández, Antonio Quintero

Publication date: 12 November 2008

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2007.04.023

zbMATH Keywords

discrete Morse functionpure discrete Morse complex

Mathematics Subject Classification ID

Relations of low-dimensional topology with graph theory (57M15) Critical points and critical submanifolds in differential topology (57R70)

Related Items (10)

On the automorphism group of the Morse complex ⋮ On the homotopy and strong homotopy type of complexes of discrete Morse functions ⋮ A simplicial complex is uniquely determined by its set of discrete Morse functions ⋮ On discrete gradient vector fields and Laplacians of simplicial complexes ⋮ A discrete Morse perspective on knot projections and a generalised clock theorem ⋮ Persistent homology for hypergraphs and computational tools — A survey for users ⋮ Discrete Morse functions, vector fields, and homological sequences on trees ⋮ Discrete Morse theory on graphs ⋮ A graph-theoretical approach to cancelling critical elements ⋮ The number of critical elements of discrete Morse functions on non-compact surfaces

Cites Work

• Combinatorial vector fields and dynamical systems
• Parallel concepts in graph theory
• Morse theory for cell complexes
• Complexes of directed trees
• Complexes of discrete Morse functions
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