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Cohen-Macaulay generalized binomial edge ideals
Published 30 Dec 2021 in math.AC and math.CO | (2112.15136v3)
Abstract: Let $G$ be a simple graph on $n$ vertices and let $J_{G,m}$ be the generalized binomial edge ideal associated to $G$ in the polynomial ring $K[x_{ij}, 1\le i \le m, 1\le j \le n]$. We classify the Cohen-Macaulay generalized binomial edge ideals. Moreover we study the unmixedness and classify the bipartite and power cycle unmixed ones.
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