Toward Optimality in Discrete Morse Theory

DOI10.1080/10586458.2003.10504498zbMath1086.58007OpenAlexW2079180878MaRDI QIDQ5317274

Geovan Tavares, Hélio Lopes, Thomas Lewiner

Publication date: 16 September 2005

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.em/1087329231

zbMATH Keywords

solid modelingcomputational topologydiscrete Morse theoryForman theory

Mathematics Subject Classification ID

Related Items (9)

Approximation algorithms for Max Morse matching ⋮ Allowing cycles in discrete Morse theory ⋮ Morse theory for filtrations and efficient computation of persistent homology ⋮ An entropy-based persistence barcode ⋮ Critical sets in discrete Morse theories: relating Forman and piecewise-linear approaches ⋮ Ascending and descending regions of a discrete Morse function ⋮ Random Discrete Morse Theory and a New Library of Triangulations ⋮ Parameterized Complexity of Discrete Morse Theory ⋮ The number of critical elements of discrete Morse functions on non-compact surfaces

Uses Software

• Algorithm 447
• Simplicial complex library

Cites Work

• Morse theory for cell complexes
• Optimal discrete Morse functions for 2-manifolds
• Affine structures in 3-manifolds. V: The triangulation theorem and Hauptvermutung
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