Cohen-Macaulay generalized binomial edge ideals
Abstract
Let G be a simple graph on n vertices and let JG,m be the generalized binomial edge ideal associated to G in the polynomial ring K[xij, 1 i m, 1 j 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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