Michael Joswig

polymake: a Framework for Analyzing Convex Polytopes

polymake is a software tool designed for the algorithmic treatment of polytopes and polyhedra. We give an overview of the functionality as well as of the structure. This paper can be seen as a first approximation to a polymake handbook.

Mathematical Software - ICMS 2006

By reading, you can know the knowledge and things more, not only about what you get from people to people. Book will be more trusted. As this mathematical software icms 2010 third international congress on mathematical software kobe japan september 13 17 2010 proceedings lecture notes in computer science, it will really give you the good idea to be successful. It is not only for you to be success in certain life you can be successful in everything. The success can be started by knowing the basic knowledge and do actions.

Computing Optimal Morse Matchings

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.

Polymake: an approach to modular software design in computational geometry

polymake is a software package designed for the study of the combinato rics and the geometry of convex polytopes and polyhedra. It offers access to a wide variety of algorithms and tools within a common framework. As a key design feature it allows to incorporate the functionality of a great variety of other software packages in a modular way. polymake is open source software; it is freely available on the Internet at \url{http://www.math.tu-berlin.de/diskregeom/polymake/}. AMS Subject Classification (2000): 52-04 (52Bxx)

Projectivities in simplicial complexes and colorings of simple polytopes

Abstract. For each strongly connected finite-dimensional (pure) simplicial complex

Algorithms for highly symmetric linear and integer programs

\Delta

Algebra,Geometry and Software Systems

we construct a finite group

Tropicalizing the Simplex Algorithm

\Pi(\Delta)

Beneath-and-Beyond Revisited

, the group of projectivities of

One-point suspensions and wreath products of polytopes and spheres

\Delta