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 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.