Star clusters in the matching, Morse, and generalized complex of discrete Morse functions

arXiv2207.13780MaRDI QIDQ6120520

Unnamed Author, Nicholas A. Scoville

Publication date: 21 February 2024

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.13780

zbMATH Keywords

matching complexdiscrete Morse theorystar clustercluster lemmacomplex of discrete Morse functions

Mathematics Subject Classification ID

Homotopy equivalences in algebraic topology (55P10) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70) Simplicial sets and complexes in algebraic topology (55U10) Discrete Morse theory and related ideas in manifold topology (57Q70)

Cites Work

• Unnamed Item
• Star clusters in independence complexes of graphs
• On the homotopy types of the independence complexes of grid graphs with cylindrical identification
• Discrete Morse theory and Hopf bundles
• On optimizing discrete Morse functions
• Morse theory for cell complexes
• Complexes of directed trees
• Discrete Morse functions, vector fields, and homological sequences on trees
• Simplicial complexes of graphs
• Complexes of discrete Morse functions
• Filtered matchings and simplicial complexes
• On the homotopy and strong homotopy type of complexes of discrete Morse functions

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