%0 Book
%T Exploring core points for fun and profit: a study of lattice-free orbit polytopes
%A Rehn, Thomas
%D 2013
%G English
%F 782839568
%O vorgelegt von Thomas Rehn
%O Rostock, Univ., Mathematisch-Naturwiss. Fak., Diss., 2014
%X This thesis studies minimal lattice-free symmetric polytopes. Lattice-free means that the only integral points in the polytope are its vertices. Symmetric in context of the thesis means that all vertices lie in one single orbit under a group action. The thesis focuses on groups that are permutation groups acting on R^n by permuting coordinates. If a symmetric polytope is lattice-free, its vertices are called core points. Methods to construct core points and applications in symmetric integer linear programming are explored.
%L 516.158
%9 theses
%9 Text
%9 Hochschulschrift
%U http://rosdok.uni-rostock.de/resolve?urn=urn:nbn:de:gbv:28-diss2014-0082-2
%U http://rosdok.uni-rostock.de/resolve?urn=urn:nbn:de:gbv:28-diss2014-0082-2&pdf
%U http://nbn-resolving.de/urn:nbn:de:gbv:28-diss2014-0082-2