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Cohen-Macaulay edge-weighted graphs of girth $5$ or greater

Published 10 Sep 2023 in math.AC and math.CO | (2309.05056v2)

Abstract: Let $G_\omega$ be an edge-weighted graph whose underlying graph is $G$. In this paper, we enlarge the class of Cohen-Macaulay edge-weighted graphs $G_\omega$ by classifying completely them when the graph $G$ has girth $5$ or greater.

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