Some properties of zero divisor graph obtained by the ring Z(p) x Z(q) x Z(r)

The concept of zero-divisor graph of a commutative ring was introduced by Beck [Coloring of commutating ring, J. Algebra 116 (1988) 208-226]. In this paper, we present some properties of zero divisor graphs obtained from ring Z(p) x Z(q) x Z(r), where p, q and r are primes. Also, we give some degree-based topological indices of this special graph.