Federico Ardila, Mariel Supina, Andrés R. Vindas-Meléndez
Published 2019-11-25Version 1
Equivariant Ehrhart theory enumerates the lattice points in a polytope with respect to a group action. Answering a question of Stapledon, we describe the equivariant Ehrhart theory of the permutahedron, and we prove his Effectiveness Conjecture in this special case.
Comments: 14 pages, 2 figures, 3 tables, comments welcomed
The equivariant volumes of the permutahedron
Triangles capturing many lattice points
Facet-Hamiltonian cycles in the $B$-permutahedron
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