Reflexive polytopes arising from perfect graphs
Combinatorics
2020-09-08 v2 Commutative Algebra
Abstract
Reflexive polytopes form one of the distinguished classes of lattice polytopes. Especially reflexive polytopes which possess the integer decomposition property are of interest. In the present paper, by virtue of the algebraic technique on Gr\"onbner bases, a new class of reflexive polytopes which possess the integer decomposition property and which arise from perfect graphs will be presented. Furthermore, the Ehrhart -polynomials of these polytopes will be studied.
Keywords
Cite
@article{arxiv.1703.04410,
title = {Reflexive polytopes arising from perfect graphs},
author = {Takayuki Hibi and Akiyoshi Tsuchiya},
journal= {arXiv preprint arXiv:1703.04410},
year = {2020}
}
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13 pages