English

Strong metric dimension of the prime ideal sum graph of a commutative ring

Combinatorics 2023-06-08 v1 Rings and Algebras

Abstract

Let RR be a commutative ring with unity. The prime ideal sum graph of the ring RR is the simple undirected graph whose vertex set is the set of all nonzero proper ideals of RR and two distinct vertices II and JJ are adjacent if and only if I+JI + J is a prime ideal of RR. 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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