3 citations · 4 across the 5 of their papers we have counts for
4 papers · 1 filter
Algebraic aspects of unconditional lattice polytopes
Kenta Mori, Ryo Motomura, Hidefumi Ohsugi +1
Unconditional polytopes are convex polytopes that are symmetric with respect to all coordinate hyperplanes and arise naturally from anti-blocking polytopes by reflection. This pape…
Facet numbers of non-centrally symmetric reflexive polytopes arising from posets
Aki Mori, Kenta Mori, Hidefumi Ohsugi
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…
Number of facets of symmetric edge polytopes arising from join graphs
Aki Mori, Kenta Mori, Hidefumi Ohsugi
Symmetric edge polytopes of graphs are important object in Ehrhart theory,and have an application to Kuramoto models. In the present paper, we study the upper and lower bounds for…
Toric rings of perfectly matchable subgraph polytopes
Kenta Mori
The perfectly matchable subgraph polytope of a graph is a (0,1)-polytope associated with the vertex sets of matchings in the graph. In this paper, we study algebraic properties (co…