3 papers
math.AC2026
Toric rings associated with root systems and conic divisorial ideals via matroid theory
Koji Matsushita
We study conic divisorial ideals from the viewpoint of matroid theory and apply the resulting framework to toric rings arising from root systems. For a toric ring, we describe the…
math.CO2024
Codegree and regularity of stable set polytopes
Koji Matsushita, Akiyoshi Tsuchiya
The codegree of a lattice polytope is a fundamental invariant in discrete geometry. In the present paper, we investigate the codegree of th…
math.CO2024
Matching polytopes, Gorensteinness, and the integer decomposition property
Benjamin Eisley, Koji Matsushita, Andrés R. Vindas-Meléndez
The matching polytope of a graph is the convex hull of the indicator vectors of the matchings on . We characterize the graphs whose associated matching polytopes are Gorenst…