Titlebook: Discrete Geometry and Optimization; Karoly Bezdek,Antoine Deza,Yinyu Ye Book 2013 Springer International Publishing Switzerland 2013 Carat

透明

Deject

陶瓷

Early History and Declassification,This paper focuses on determining the volumes of permutation polytopes associated to cyclic groups,dihedral groups, groups of automorphisms of tree graphs, and Frobenius groups. We do this through the use of triangulations and the calculation of Ehrhart polynomials. We also briefly discuss the theta body hierarchy of various permutation polytopes.

凌辱

Antoine Le Riche,Francesco MagrisIn this note we give a short overview on symmetry exploiting techniques in three different branches of polyhedral computations: The representation conversion problem, integer linear programming and lattice point counting. We describe some of the future challenges and sketch some directions of potential developments.

行为

On Volumes of Permutation Polytopes,This paper focuses on determining the volumes of permutation polytopes associated to cyclic groups,dihedral groups, groups of automorphisms of tree graphs, and Frobenius groups. We do this through the use of triangulations and the calculation of Ehrhart polynomials. We also briefly discuss the theta body hierarchy of various permutation polytopes.

阉割

Exploiting Symmetries in Polyhedral Computations,In this note we give a short overview on symmetry exploiting techniques in three different branches of polyhedral computations: The representation conversion problem, integer linear programming and lattice point counting. We describe some of the future challenges and sketch some directions of potential developments.

亲密

On Minimal Tilings with Convex Cells Each Containing a Unit Ball,artitioned into convex cells each containing a unit ball, how should the shapes of the cells be designed to minimize the average edge curvature of the cells? In particular, we prove that the average edge curvature in question is always at least ..

万灵丹

知识分子

Legion

Selected Open Problems in Discrete Geometry and Optimization,shop on Discrete Geometry, Conference on Discrete Geometry and Optimization, and Workshop on Optimization. We hope these questions and problems will contribute to further stimulate the interaction between geometers and optimizers.