Discrete Morse functions, vector fields, and homological sequences on trees

DOI10.2140/involve.2020.13.219zbMath1435.05242OpenAlexW2622646340MaRDI QIDQ2309707

Nicholas A. Scoville, Ian Rand

Publication date: 1 April 2020

Published in: Involve (Search for Journal in Brave)

Full work available at URL: https://digitalcommons.ursinus.edu/cgi/viewcontent.cgi?article=1000&context=math_sum

zbMATH Keywords

Dyck pathtreesdiscrete Morse theoryhomological sequencegradient vector field

Mathematics Subject Classification ID

Trees (05C05) Graph theory (including graph drawing) in computer science (68R10) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Relations of low-dimensional topology with graph theory (57M15) Combinatorial aspects of simplicial complexes (05E45)

Related Items (1)

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

Cites Work

• Unnamed Item
• Simplicial structures in topology.
• The number of excellent discrete Morse functions on graphs
• Characterizing equivalent discrete Morse functions
• A note on the pure Morse complex of a graph
• Discrete Morse theory on graphs
• Morse theory for cell complexes
• A user's guide to discrete Morse theory
• Counting Morse functions on the 2-sphere
• Discrete Morse Theory

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