Reflexive polytopes arising from perfect graphs

Takayuki Hibi, Akiyoshi Tsuchiya

Published 2017-03-13Version 1

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 arising from perfect graphs which possess the integer decomposition property will be presented. Furthermore, the Ehrhart $\delta$-polynomials of these reflexive polytopes will be studied.