4 papers
A matroidal twist on a formula of Brion
Matthias Beck, Caroline Klivans, Dustin Ross
Brion's Formula realizes the Laurent polynomial of lattice points in a lattice polytope P as the sum of rational functions associated to the vertices of P. In this paper, we consid…
Canon Permutation Posets
Matthias Beck, Danai Deligeorgaki
A permutation of the multiset is a canon permutation if the subsequence formed by the th copy of each element of is identical for…
Signed Poset Polytopes
Matthias Beck, Max Hlavacek
Stanley introduced in 1986 the order polytope and the chain polytope for a given finite poset. These polytopes contain much information about the poset and have given rise to impor…
Inequalities for -vectors of Lattice Polytopes
Matthias Beck, Danai Deligeorgaki, Max Hlavacek +1
The Ehrhart polynomial of a lattice polytope counts the number of integer points in the -th integral dilate of . The -vector of , introduced by…