Abstract

Let n,a1,a2,…,ak be distinct positive integers. A finite Toeplitz graph Tn(a1,a2,…,ak)=(V,E) is a graph where V={v0,v1,…,vn−1} and E={vivj, for |i−j|∈{a1,a2,…,ak}}. In this paper, we first refine some previous results on the connectivity of finite Toeplitz graphs with k=2, and then focus on Toeplitz graphs with k=3, proving some results about their chromatic number.

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