Eulerian of the Zero Divisor graph Γ[Zn]Γ[\mathbb {Z}_n]

preprint2020arXivOpen access

Abstract

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

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