Let G = K-n1,K-n2,K-...,K-nr be a complete multipartite graph on [n] with n > r > 1 and JG being its binomial edge ideal. It is proved that the Castelnuovo-Mumford regularity reg(J(G)(t)) is 2t + 1 for any positive integer t.
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Title
Regularity of Powers of Binomial Edge Ideals of Complete Multipartite Graphs
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Hong Wang - Soochow Suzhou Univ, Dept Math, 50 E Ring Rd, Suzhou 215006, Jiangsu, Peoples R China
Zhongming Tang - Soochow Suzhou Univ, Dept Math, 50 E Ring Rd, Suzhou 215006, Jiangsu, Peoples R China