Let R be a commutative ring with identity element. Graph T^n_R is defined with vertex set R^n \\\\{0} and two distinct vertices X and Y are adjacent if and only if there exists an n×n lower triangular matrix A with non-zero diagonal entries such that AX^T = Y ^T or AY^ T = X^T. By B^T , we mean transpose of matrix B. If R is a semigroup with respect to multiplication and n = 1, then T^1_R is the undirected Cayley graph. In this paper, a prime number p, we find the clique number and automorphism group of n R, where R = Zp^2 or R = Zp^3 .

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