@Book{782839568,
author="Rehn, Thomas",
title="Exploring core points for fun and profit: a study of lattice-free orbit polytopes",
year="2013",
abstract="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.",
note="vorgelegt von Thomas Rehn",
note="Rostock, Univ., Mathematisch-Naturwiss. Fak., Diss., 2014",
url="http://rosdok.uni-rostock.de/resolve?urn=urn:nbn:de:gbv:28-diss2014-0082-2",
url="http://rosdok.uni-rostock.de/resolve?urn=urn:nbn:de:gbv:28-diss2014-0082-2&pdf",
url="http://nbn-resolving.de/urn:nbn:de:gbv:28-diss2014-0082-2",
language="English"
}