English

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

Rings and Algebras 2020-01-07 v1

Abstract

The Zero divisor Graph of a commutative ring RR, denoted by Γ[R]\Gamma[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]\Gamma[\mathbb{Z}_n], for any natural number nn and find out which graphs are Eulerian graphs.

Keywords

Cite

@article{arxiv.2001.01219,
  title  = {Eulerian of the Zero Divisor graph $\Gamma[\mathbb {Z}_n]$},
  author = {B. Surendranath Reddy and Rupali S. Jain and N. Laxmikanth},
  journal= {arXiv preprint arXiv:2001.01219},
  year   = {2020}
}
R2 v1 2026-06-23T13:03:08.118Z