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arXiv · 1812.08212

An other approach of the diameter of $\Gamma(R)$ and $\Gamma(R[X])$

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

Using the new extension of the zero-divisor graph $\widetilde{\Gamma}(R)$ introduced in \cite{Groupe}, we give an approach of the diameter of $\Gamma(R)$ and $\Gamma(R[X])$ other than given in \cite{Lucas} thus we give a complete characterization for the possible diameters $1$, $2$ or $3$ of $\Gamma(R)$ and $\Gamma(R[x])$.

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A. Cherrabi, H. Essannouni, E. Jabbouri, A. Ouadfel. 2018-12-19. An other approach of the diameter of $\Gamma(R)$ and $\Gamma(R[X])$. https://arxiv.org/abs/1812.08212

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