  In this paper, we show that the Glauber dynamics for the Ising model on a
complete multipartite graph $K_{np_1,\dots,np_m}$ has cutoff at $t_n := \alpha
n\ln n $ with window size $O(n)$ in the high temperature regime $\beta<1$ where
$\alpha$ is a constant only depending on $\beta, p_1,\dots, p_m$.
