Vertex and Edge connectivity of the zero divisor graph Γ[\mathbb Z_n]

2018/07/07 by Reddy, B. Surendranath, Jain, Rupali. S., Laxmikanth, N.
#Combinatorics (math.CO) #FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1807.02703

Abstract

The Zero divisor Graph of a commutative ring R, denoted by Γ[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 Γ[ℤ_n], for any natural number n . We also discuss the minimum degree of the zero divisor graph Γ[ℤ_n].

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