Cohen-Macaulay generalized binomial edge ideals

2021/12/30 by Luca Amata, Amata, Luca, Marilena Crupı +3 · 1 citation
Computer Science · Mathematics · Medicine · #05E40 #13H10 #Cholinesterase and Neurodegenerative Diseases #Combinatorics (math.CO) #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.2112.15136

openalex publication_date 2021/12/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Cited by

• On a regularity-conjecture of generalized binomial edge ideals

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