@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} } @misc{JoswigLutz, author = {Joswig, Michael and Lutz, Frank H.}, title = {One-Point Suspensions and Wreath Products of Polytopes and Spheres}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-7836}, number = {04-08}, abstract = {It is known that the suspension of a simplicial complex can be realized with only one additional point. Suitable iterations of this construction generate highly symmetric simplicial complexes with a various interesting combinatorial and topological properties. In particular, infinitely many non-PL spheres as well as contactible simplicial complexes with a vertex-transitive group of automorphisms cab be contained in this way.}, language = {en} }