Cohen-Macaulay binomial edge ideals of cactus graphs

2017/04/24 by Rinaldo, Giancarlo
#Combinatorics (math.CO) #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.1704.07106

Abstract

We classify the Cohen-Macaulay binomial edge ideals of cactus and bicyclic graphs.

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• Bound for the regularity of binomial edge ideals of cactus graphs
• Construction of Cohen-Macaulay binomial edge ideals
• Cohen-Macaulay binomial edge ideals
• Binomial edge ideals of bipartite graphs
• The arithmetical rank of the edge ideals of cactus graphs