@misc{JoswigPfetsch, author = {Joswig, Michael and Pfetsch, Marc}, title = {Computing Optimal Morse Matchings}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-8120}, number = {04-37}, 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.}, language = {en} }