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