English

Strong resolving graph of the intersection graph in commutative rings

Combinatorics 2023-09-26 v1

Abstract

The intersection graph of ideals associated with a commutative unitary ring RR is the graph G(R)G(R) whose vertices all non-trivial ideals of RR 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)G(R) is characterized and as an application, we evaluate the strong metric dimension of G(R)G(R).

Keywords

Cite

@article{arxiv.2309.13284,
  title  = {Strong resolving graph of the intersection graph in commutative rings},
  author = {E. Dodongeh and A. Moussavi and R. Nikandish},
  journal= {arXiv preprint arXiv:2309.13284},
  year   = {2023}
}

Comments

arXiv admin note: substantial text overlap with arXiv:2308.09696

R2 v1 2026-06-28T12:30:13.927Z