Vijay Kumar Bhat – Diameter and girth of tensor product of zero-divisor graphs

SMVD University, India

Let be a commutative ring with identity . Zero-divisor graph of is a graph with vertex set as non-zero zero-divisors of such that distinct vertices and are adjacent if .
Consider the rings and , and their zero-divisor graphs respectively with . We discuss the diameter and girth of tensor product and lexicographic product of and .

This is joint work with Pradeep Singh.