English

Computing Optimal Morse Matchings

Combinatorics 2007-05-23 v1 Optimization and Control

Abstract

Morse matchings capture the essential structural information of discrete Morse functions. We show that computing optimal Morse matchings is NP-hard and give an integer programming formulation for the problem. Then we present polyhedral results for the corresponding polytope and report on computational results.

Keywords

Cite

@article{arxiv.math/0408331,
  title  = {Computing Optimal Morse Matchings},
  author = {Michael Joswig and Marc E. Pfetsch},
  journal= {arXiv preprint arXiv:math/0408331},
  year   = {2007}
}