Ehrhart series of polytopes related to symmetric doubly-stochastic matrices
The electronic journal of combinatorics, Tome 22 (2015) no. 2
In Ehrhart theory, the $h^*$-vector of a rational polytope often provides insights into properties of the polytope that may be otherwise obscured. As an example, the Birkhoff polytope, also known as the polytope of real doubly-stochastic matrices, has a unimodal $h^*$-vector, but when even small modifications are made to the polytope, the same property can be very difficult to prove. In this paper, we examine the $h^*$-vectors of a class of polytopes containing real doubly-stochastic symmetric matrices.
DOI :
10.37236/4692
Classification :
05A15, 52B20
Mots-clés : Ehrhart theory, unimodal sequences, integrally closed polytopes
Mots-clés : Ehrhart theory, unimodal sequences, integrally closed polytopes
Affiliations des auteurs :
Robert Davis 1
@article{10_37236_4692,
author = {Robert Davis},
title = {Ehrhart series of polytopes related to symmetric doubly-stochastic matrices},
journal = {The electronic journal of combinatorics},
year = {2015},
volume = {22},
number = {2},
doi = {10.37236/4692},
zbl = {1311.05012},
url = {http://geodesic.mathdoc.fr/articles/10.37236/4692/}
}
Robert Davis. Ehrhart series of polytopes related to symmetric doubly-stochastic matrices. The electronic journal of combinatorics, Tome 22 (2015) no. 2. doi: 10.37236/4692
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