Exploring core points for fun and profit: a study of lattice-free orbit polytopes Rehn, Thomas , 1984- Text theses Text Hochschulschrift 2013 2013 eng electronic resourceremoteComputermedienOnline-Ressourcetext/htmlapplication/pdfOnline-Ressource graph. Darst. 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. vorgelegt von Thomas Rehn Rostock, Univ., Mathematisch-Naturwiss. Fak., Diss., 2014 516.158 510 31.50 http://rosdok.uni-rostock.de/resolve?urn=urn:nbn:de:gbv:28-diss2014-0082-2 http://rosdok.uni-rostock.de/resolve?urn=urn:nbn:de:gbv:28-diss2014-0082-2&pdf http://nbn-resolving.de/urn:nbn:de:gbv:28-diss2014-0082-2 Exploring core points for fun and profit--(DE-627)781843480 urn:nbn:de:gbv:28-diss2014-0082-2 oclc: 935396402 ppn: (DE-627)782839568