Toeplitz graph decomposition

Let $n,t_1,...,t_k$ be distinct positive integers. A Toeplitz graph $G=(V, E)$ denoted by $T_n$ is a graph, where $V ={1,...,n}$ and $E= {(i,j) : |i-j| in {t_1,...,t_k}}$.In this paper, we present some results on decomposition of Toeplitz graphs.