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arXiv · 1806.11443

On a new extension of the zero-divisor graph (II)

A. Cherrabi·H. Essannouni·E. Jabbouri·A. Ouadfel
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Abstract

We continue our study of the new extension of zero-divisor graph. We give a complete characterization for the possible diameters of $\widetilde{\Gamma}(R)$ and $\widetilde{\Gamma}(R[x_1,\dots,x_n])$, we investigate the relation between the zero-divisor graph, the subgraph of total graph on $Z(R)^{\star}$ and $\widetilde{\Gamma}(R)$ and we present some other properties of $\widetilde{\Gamma}(R)$.

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A. Cherrabi, H. Essannouni, E. Jabbouri, A. Ouadfel. 2018-06-28. On a new extension of the zero-divisor graph (II). https://arxiv.org/abs/1806.11443

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