Ehrhart polynomial and multiplicity Tutte polynomial

Abstract

We prove that the Ehrhart polynomial of a zonotope is a specialization of the multiplicity Tutte polynomial. We derive some formulae for the volume and the number of integer points of the zonotope.

6 pages, 1 picture

References in corpus (5)

• Hierarchical zonotopal spaces
• Hierarchical zonotopal power ideals
• Arithmetic matroids, Tutte polynomial, and toric arrangements
• A Tutte polynomial for toric arrangements
• Notes on lattice points of zonotopes and lattice-face polytopes

Cited by in corpus (1)

• Arithmetic matroids, Tutte polynomial, and toric arrangements