Strong Koszulness of toric rings associated with stable set polytopes of trivially perfect graphs
Kazunori Matsuda
TL;DR
This paper establishes precise conditions under which toric rings derived from stable set polytopes of trivially perfect graphs are strongly Koszul, advancing understanding in algebraic combinatorics.
Contribution
It provides necessary and sufficient criteria for strong Koszulness of these toric rings, a novel characterization in the context of trivially perfect graphs.
Findings
Characterization of strong Koszulness conditions
Necessary and sufficient criteria established
Enhanced understanding of algebraic properties of stable set polytopes
Abstract
We give necessary and sufficient conditions for strong Koszulness of toric rings associated with the stable set polytope of graphs.
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Taxonomy
TopicsCommutative Algebra and Its Applications · Advanced Combinatorial Mathematics · Graph theory and applications