On the Total Graph of a Finite Commutative Ring

Mohammad Hadi Shekarriz, Mohammad Hasan Shirdareh Haghighi, Habib Sharif

Let $R$ be a finite commutative ring with $1\ne 0$. In this article, we study the total graph of $R$, denoted by $\tau (R)$, determine some of its basic graph-theoretical properties, d…