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Research Article

EULERIAN OF THE ZERO DIVISOR GRAPH $\Gamma[\mathbb {Z}_n]$

B
B. Surendranath Reddy Department of Mathematics, Swami Ramanand Teerth Marathwada University, Nanded - 431606, Maharashtra, INDIA
R
Rupali S. Jain Department of Mathematics, Swami Ramanand Teerth Marathwada University, Nanded - 431606, Maharashtra, INDIA
N
N. Laxmikanth Department of Mathematics, Swami Ramanand Teerth Marathwada University, Nanded - 431606, Maharashtra, INDIA
Volume 16, Issue 1A Pages 61-66 May 1, 2020 244 downloads
Article overview

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.

Keywords and Phrases

Zero divisor graphEuler tourEuler graph.

AMS Subject Classification

05C12, 05C25, 05C50.

Reference information

How to Cite

B. Surendranath Reddy, Rupali S. Jain, N. Laxmikanth (2020). EULERIAN OF THE ZERO DIVISOR GRAPH $\Gamma[\mathbb {Z}_n]$. South East Asian Journal of Mathematics and Mathematical Sciences, 16(1A), 61-66.
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