Strong metric dimension of the prime ideal sum graph of a commutative ring
Combinatorics
2023-06-08 v1 Rings and Algebras
Abstract
Let be a commutative ring with unity. The prime ideal sum graph of the ring is the simple undirected graph whose vertex set is the set of all nonzero proper ideals of and two distinct vertices and are adjacent if and only if is a prime ideal of . In this paper, we obtain the strong metric dimension of the prime ideal sum graph for various classes of Artinian non-local commutative rings.
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Cite
@article{arxiv.2306.04200,
title = {Strong metric dimension of the prime ideal sum graph of a commutative ring},
author = {Praveen Mathil and Jitender Kumar and Reza Nikandish},
journal= {arXiv preprint arXiv:2306.04200},
year = {2023}
}
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