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Line comaximal graphs | ||
| Journal of Algebra and Related Topics | ||
| دوره 14، شماره 1، آبان 2026، صفحه 69-75 اصل مقاله (145.86 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22124/jart.2025.28997.1732 | ||
| نویسنده | ||
| S. Khojasteh* | ||
| Department of Mathematics, Lahijan Branch, Islamic Azad University, Lahijan, Iran | ||
| چکیده | ||
| Let $R$ be a commutative ring with non-zero identity. The comaximal graph is a graph with vertices all elements of $R$ and two distinct vertices $x$ and $y$ are adjacent if and only if $Rx +Ry = R$. Let $\Gamma_2(R)$ be the subgraph of the comaximal graph with vertex-set $W^{*}(R)$, where $W^{*}(R)$ is the set of all non-zero and non-unit elements of $R$. In this paper, we investigate when the graph $\Gamma_2(R)$ is a line graph. We completely present all commutative rings which their comaximal graphs are line graphs. Also, we study when the comaximal graph is the complement of a line graph. | ||
| کلیدواژهها | ||
| comaximal graph؛ line graph؛ complement of a graph | ||
| مراجع | ||
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