On the Total Graph of a Finite Commutative Ring
Abstract
Let R be a finite commutative ring with 1 0. In this article, we study the total graph of R, denoted by τ (R), determine some of its basic graph-theoretical properties, determine when it is Eulerian, and find some conditions under which this graph is isomorphic to Cay(R,Z(R) 0). We shall also compute the domination number of $τ (R).
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