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arXiv · 1807.02703

Vertex and Edge connectivity of the zero divisor graph $\Gamma[\mathbb {Z}_n]$

B. Surendranath Reddy·Rupali. S. Jain·N. Laxmikanth
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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. In this paper we derive the Vertex and Edge Connectivity of the zero divisor graph $\Gamma[\mathbb{Z}_n]$, for any natural number $n$ . We also discuss the minimum degree of the zero divisor graph $\Gamma[\mathbb{Z}_n]$.

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B. Surendranath Reddy, Rupali. S. Jain, N. Laxmikanth. 2018-07-07. Vertex and Edge connectivity of the zero divisor graph $\Gamma[\mathbb {Z}_n]$. https://arxiv.org/abs/1807.02703

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