14 citations · 82 across the 27 of their papers we have counts for
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math.CO2015
Gorenstein Fano polytopes arising from order polytopes and chain polytopes
Takayuki Hibi, Kazunori Matsuda, Akiyoshi Tsuchiya
Richard Stanley introduced the order polytope and the chain polytope arising from a finite partially ordered set , and showed that the Ehrhart…
math.AC2015★ 5 cited
Quadratic Gröbner bases arising from partially ordered sets
Takayuki Hibi, Kazunori Matsuda, Akiyoshi Tsuchiya
The order polytope and the chain polytope associated to a partially ordered set are studied. In this paper, we introduce the convex polytope $…
math.AC2015★ 4 cited
Quadratic Gröbner bases of twinned order polytopes
Takayuki Hibi, Kazunori Matsuda
Let and be finite partially ordered sets on , and and their order po…