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Discrete Morse theory

Discrete Morse theory is a combinatorial adaptation of Morse theory developed by Robin Forman. The theory has various practical applications in… 
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Related topics

Related topics

9 relations
Betti numberComputer scienceCourcelle's theoremDigital Morse theory

Broader (1)

Computational topology

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2020
2020
Discrete Morse Theory, Persistent Homology and Forman-Ricci Curvature
Using Banchoff's discrete Morse Theory, in tandem with Bloch's result on the strong connection between the former and Forman's… 
2017
2017
Discrete Morse theory for random complexes
The main objects considered in the present work are simplicial and CW-complexes with vertices forming a random point cloud. In… 
2016
2016
A topological lower bound for the chromatic number of a special family of graphs
2016
2016
Solar magnetograms editing using discrete Morse theory
Solar magnetic field structure in active regions is complicated for modeling. We construct by magnetogram data a special… 
2012
2012
Homological sequences in discrete Morse theory
A theory of homological equivalence of discrete Morse functions is developed in this paper, extending the work of Ayala et al. [1… 
2011
2011
Discrete) Morse Theory on Configuration Spaces
Classical Configuration Spaces in R (sometimes written as F (n, R)) are defined as the set of ordered n−tuples of pairwise… 
2011
2011
Three Approaches in Computational Geometry and Topology : Persistent Homology, Discrete Differential Geometry and Discrete Morse Theory
We study persistent homology, methods in discrete differential geometry and discrete Morse theory. Persistent homology is applied… 
2011
2011
Graph isomorphisms in discrete Morse theory
A discrete Morse function f on a graph G induces a sequence of subgraphs of G. In [1], the authors introduce a notion of… 
2007
2007
Induction of qualitative models using discrete Morse theory
Qualitative models are often a useful abstraction of the physical world. Learning qualitative models from numerical data is a… 
1993
1993
Can legal knowledge be derived from legal texts?
Knowledge acquisition is undoubtedly one of the major bottle-necks in the development of legal expert systems. Usually the… 
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