透明 发表于 2025-3-25 04:44:27
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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 发表于 2025-3-25 19:04:15
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 发表于 2025-3-25 23:34:16
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 发表于 2025-3-26 00:22:59
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 发表于 2025-3-26 07:28:24
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 发表于 2025-3-26 12:32:31
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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.