Work

Towards Optimality in Discrete Morse Theory through Chain Homotopies

Year: 2010

Type: article

Abstract: Once a discrete Morse function has been defined on a finite cell complex, information about its homology can be deduced from its critical elements. The main objective of this paper is to define optimal discrete gradient vector fields on general finite cell complexes, where optimality entails having the least number of critical elements. Our approach is to consider this problem as a homology computation question for chain complexes endowed with extra algebraic nilpotent operator.

Source: Deposito de Investigacion Universidad de Sevilla (University of Seville)

Authors: Pedro Real, Helena Molina Abril

Language: English

Topic: Topological and Geometric Data Analysis

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

Funder: Ministerio de Economía y Competitividad

OpenAlex ID: W2421760900

FWCI: 1.158

Cites: 9

Cited by: 3

Related to: 10