Takayuki Hibi, Nan Li, Teresa Xueshan Li, Lili Mu
Published 2015-04-07Version 1
We introduce the notion of order-chain polytopes, which generalizes both order polytopes and chain polytopes arising from finite partially ordered sets. Since in general order-chain polytopes cannot be integral, the problem when order-chain polytopes are integral will be studied. Furthermore, we discuss the question whether every integral order-chain polytope is unimodularly equivalent to either an order polytope or a chain polytope. In addition, an observation on the volume of order-chain polytopes will be done.
The $h^*$-polynomial of the order polytope of the zig-zag poset
Smooth Fano polytopes arising from finite partially ordered sets
Triangulations, order polytopes, and generalized snake posets
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