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Vertex and Edge connectivity of the zero divisor graph $Γ[\mathbb {Z}_n]$ (1807.02703v1)
Published 7 Jul 2018 in math.RA and math.CO
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 $\Gamma[\mathbb{Z}_n]$.