Unimodular toric ideals of graphs

Published 14 Oct 2025 in math.AC, cs.DM, and math.CO | (2510.12544v1)

Abstract: We give a necessary and sufficient graph-theoretic characterization of toric ideals of graphs that are unimodular. As a direct consequence, we provide the structure of unimodular graphs by proving that the incidence matrix of a graph $G$ is unimodular if and only if any two odd cycles of $G$ intersect.

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Authors (1)

Christos Tatakis

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