A note on the pure Morse complex of a graph
type: Item
instance of: scholarly article
title: A note on the pure Morse complex of a graph
zbMATH Open document ID: 1185.57002
published in: Topology and its Applications
publication date: 2008-11-12T00:00:00Z
review text: The authors characterize the pure discrete Morse complex of a tree and prove that it is collapsible. Moreover, they express the pure discrete Morse complex of a general graph as the union of all pure discrete Morse complexes corresponding to spanning trees.
Mathematics Subject Classification ID: 57M15
Mathematics Subject Classification ID: 57M20
Mathematics Subject Classification ID: 57R70
zbMATH DE Number: 5365223
zbMATH Keywords: discrete Morse function
zbMATH Keywords: pure discrete Morse complex
author: Rafael Ayala
author: Luis M. Fernández
author: Antonio Quintero
author: J. A. Vilches
MaRDI profile type: Publication
full work available at URL: j.topol.2007.04.023
OpenAlex ID: W1970131123
cites work: Complexes of discrete Morse functions
cites work: Q4342632
cites work: Q4938472
cites work: Morse theory for cell complexes
cites work: Combinatorial vector fields and dynamical systems
cites work: Parallel concepts in graph theory
cites work: Complexes of directed trees
DOI: 10.1016/J.TOPOL.2007.04.023
reviewed by: Frank H. Lutz
description: scientific article; zbMATH DE number 5365223