Let R be a commutative ring and M n (R) be the set of all n × n matrices over R where n ≥ 2. The trace graph of the matrix ring M n (R) with respect to an ideal I of R, denoted by Γ I t (M n (R)), is the simple undirected graph with vertex set M n (R) \ M n (I) and two distinct vertices A and B are adjacent if and only if Tr(AB) ∈ I. Here Tr(A) represents the trace of the matrix A. In this paper, we exhibit some properties and structure of Γ I t (M n (R)).
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