Reflexive polytopes arising from perfect graphs

摘要

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 Gronbner 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 8-polynomials of these polytopes will be studied. (C) 2018 Elsevier Inc. All rights reserved.