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Keywords:
Castelnuovo-Mumford regularity; binomial edge ideal; multipartite graph
Castelnuovo-Mumford regularity; binomial edge ideal; multipartite graph
Summary:
Let $G=K_{n_1,n_2,\ldots ,n_r}$ be a complete multipartite graph on $[n]$ with $n>r>1$ and $J_G$ being its binomial edge ideal. It is proved that the Castelnuovo-Mumford regularity ${\rm reg}(J^t_G)$ is $2t+1$ for any positive integer $t$.
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