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math.CO2017★ 2 cited
Laplacian Simplices Associated to Digraphs
Gabriele Balletti, Takayuki Hibi, Marie Meyer +1
We associate to a finite digraph a lattice polytope whose vertices are the rows of the Laplacian matrix of . This generalizes a construction introduced by Braun and th…
math.CO2017★ 1 cited
Universal inequalities in Ehrhart Theory
Gabriele Balletti, Akihiro Higashitani
In this paper, we show the existence of universal inequalities for the -vector of a lattice polytope P, that is, we show that there are relations among the coefficients of the…