3 citations · 4 across the 5 of their papers we have counts for
6 papers
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…
Toric ideal of matching polytopes and edge colorings
Kenta Mori, Ryo Motomura, Hidefumi Ohsugi +1
In the present paper, we investigate the maximal degree of minimal generators of the toric ideal of the matching polytope of a graph. It is known that the toric ideal associated to…
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…
Edge rings with -linear resolutions
Kenta Mori, Hidefumi Ohsugi, Akiyoshi Tsuchiya
In the present paper, we give a complete classification of connected simple graphs whose edge rings have a -linear resolution with . In particular, we show that the ed…