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arXiv · 2501.18932

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

Nabajit Talukdar
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Abstract

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 $\Gamma(R)$. In this article we determine the cut-edges and central vertices in the graph $\Gamma(\mathbb{Z}_{n})$.

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Nabajit Talukdar. 2025-01-31. Cut edges and Central vertices of zero divisor graph of the ring of integers modulo n. https://arxiv.org/abs/2501.18932

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