Cut edges and Central vertices of zero divisor graph of the ring of integers modulo n

The zero divisor graph of a commutative ring $R$ with unity is a graph whose vertices are the nonzero zero-divisors of the ring, with two distinct vertices being adjacent if their product is zero. This graph is denoted by $\mathrm{\Gamma }(R)$. In this article we determine the cut-edges and central vertices in the graph $\mathrm{\Gamma }({\mathbb{Z}}_n)$.