Osaka Electro-Communication University

Facet Numbers of Non-Centrally Symmetric Reflexive Polytopes Arising from Posets

Abstract Twinned chain polytopes form a broad class of non-centrally symmetric reflexive polytopes and exhibit intriguing structures. In the present paper, we show that the number of facets of d -dimensional twinned chain polytopes is at most $$6^{d/2}$$ 6 d / 2 . In case d is ev...