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arXiv · 2508.05809

On the strong metric dimension of the complement of the zero-divisor graph of a lattice

Pravin Gadge·Vinayak Joshi
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Abstract

In this paper, we compute the strong metric dimension of the complement of the zero-divisor graph of the blow-up of a Boolean lattice. Using these results, we calculate the strong metric dimension of the total graph, the maximal graph, the intersection graph of ideals, the complement of the zero-divisor graph of a reduced ring, and the component graph of a vector space.

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Pravin Gadge, Vinayak Joshi. 2025-08-07. On the strong metric dimension of the complement of the zero-divisor graph of a lattice. https://arxiv.org/abs/2508.05809

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