Eulerian of the Zero Divisor graph $\Gamma [{\mathbb{Z}}_n]$

Abstract

The Zero divisor Graph of a commutative ring $R$, denoted by $\Gamma [R]$, is a graph whose vertices are non-zero zero divisors of $R$ and two vertices are adjacent if their product is zero. We consider the zero divisor graph $\Gamma [{\mathbb{Z}}_n]$, for any natural number $n$ and find out which graphs are Eulerian graphs.