Mathematics – Combinatorics
Scientific paper
2011-02-28
Mathematics
Combinatorics
19 pages, 1 figure
Scientific paper
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 present results on the theta
body hierarchy of various permutation polytopes.
Burggraf Katherine
de Loera Jesus A.
Omar Mohamed
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