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 ≤ 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.
Cohen–Macaulay generalized binomial edge ideals
Amata, Luca;Crupi, Marilena;Rinaldo, Giancarlo
2025-01-01
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 ≤ 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.File in questo prodotto:
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