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math.CO2023★ 1 cited
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…
math.CO2023
Simplex faces of order and chain polytopes
Aki Mori
It will be proved that a -clique in the -skeleton of either the order polytope or the chain polytope corresponds to the -face, which is a simplex, in each polytope. Th…