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arXiv · 2309.13284

Strong resolving graph of the intersection graph in commutative rings

E. Dodongeh·A. Moussavi·R. Nikandish
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Abstract

The intersection graph of ideals associated with a commutative unitary ring $R$ is the graph $G(R)$ whose vertices all non-trivial ideals of $R$ and there exists an edge between distinct vertices if and only if the intersection of them is non-zero. In this paper, the structure of the resolving graph of $G(R)$ is characterized and as an application, we evaluate the strong metric dimension of $G(R)$.

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E. Dodongeh, A. Moussavi, R. Nikandish. 2023-09-23. Strong resolving graph of the intersection graph in commutative rings. https://arxiv.org/abs/2309.13284

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