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arXiv · 1409.2742

Ehrhart Series of Polytopes Related to Symmetric Doubly-Stochastic Matrices

Robert Davis
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Abstract

In Ehrhart theory, the $h^*$-vector of a rational polytope often provide 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.

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Robert Davis. 2015-04-27. Ehrhart Series of Polytopes Related to Symmetric Doubly-Stochastic Matrices. https://arxiv.org/abs/1409.2742

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