Discrete Morse theory

Discrete Morse theory is a combinatorial adaptation of Morse theory developed by Robin Forman. The theory has various practical applications in… (More)
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2019
2019
Incidence relations among the cells of a regular CW complex produce a posetenriched category of entrance paths whose classifying… (More)
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2018
2018
Recovering hidden graph-like structures from potentially noisy data is a fundamental task in modern data analysis. Recently, a… (More)
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2017
2017
Suppose M is a finite simplicial complex and that for 0 = t 0 , t 1 ,. .. , t r = 1 we have a discrete Morse function F ti : M… (More)
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Review
2013
Review
2013
  • Jesper Michael Mller, Pawel Winter
  • 2013
This report provides theoretical justification for the use of discrete Morse theory for the computation of homology and… (More)
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2012
2012
We use discrete Morse theory to provide another proof of Bernini, Ferrari, and Steingŕımson’s formula for the Möbius function of… (More)
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2012
2012
How to put a metric on a given simplicial complex? One way is to declare all edges to have unit length, and to regard all… (More)
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2012
2012
  • Vidit Nanda
  • 2012
OF THE DISSERTATION Discrete Morse theory for Filtrations by Vidit Nanda Dissertation Director: Konstantin Mischaikow The central… (More)
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2009
2009
In this paper, we study Forman's discrete Morse theory in the case where a group acts on the underlying complex. We generalize… (More)
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2003
2003
Morse theory is a fundamental tool for investigating the topology of smooth manifolds. This tool has been extended to discrete… (More)
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Highly Cited
1998
Highly Cited
1998
In this paper we will present a very simple discrete Morse theory for CW complexes. In addition to proving analogues of the main… (More)
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