25 citations · 41 across the 8 of their papers we have counts for
12 papers · 1 filter
Products of Foldable Triangulations
Michael Joswig, Nikolaus Witte
Regular triangulations of products of lattice polytopes are constructed with the additional property that the dual graphs of the triangulations are bipartite. The (weighted) size d…
Geometric Reasoning with polymake
Ewgenij Gawrilow, Michael Joswig
The mathematical software system polymake provides a wide range of functions for convex polytopes, simplicial complexes, and other objects. A large part of this paper is dedicated…
Neighborly Cubical Polytopes and Spheres
Michael Joswig, Thilo Schr"oder
We prove that the neighborly cubical polytopes studied by G"unter M. Ziegler and the first author arise as a special case of neighborly cubical spheres constructed by Babson, Bille…
Computing Optimal Morse Matchings
Michael Joswig, Marc E. Pfetsch
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…
One-Point Suspensions and Wreath Products of Polytopes and Spheres
Michael Joswig, Frank H. Lutz
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 simplicia…
Tropical Halfspaces
Michael Joswig
As a new concept tropical halfspaces are introduced to the (linear algebraic) geometry of the tropical semiring (R,min,+). This yields exterior descriptions of the tropical polytop…