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Computing Optimal Morse Matchings

Michael Joswig·Marc E. Pfetsch
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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.

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Michael Joswig, Marc E. Pfetsch. 2004-08-24. Computing Optimal Morse Matchings. https://arxiv.org/abs/math/0408331

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