On Volumes of Permutation Polytopes

Document Type

Book Chapter


Mathematics (HMC)

Publication Date



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

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© Springer International Publishing Switzerland 2013

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