Metric dimension in a prime ideal sum graph of a commutative ring
Commutative Algebra
2023-03-13 v1 Combinatorics
Abstract
The prime ideal sum graph of a commutative unital ring , denoted by , is an undirect and simple graph whose vertices are non-trivial ideals of and there exists and edge between to distinct vertices if and only if their sum is a prime ideal of . In this paper, the metric dimension of is discussed and some formulae for this parameter in are given.
Cite
@article{arxiv.2303.05931,
title = {Metric dimension in a prime ideal sum graph of a commutative ring},
author = {M. Adlifard and Sh. Niknejad and R. Nikandish},
journal= {arXiv preprint arXiv:2303.05931},
year = {2023}
}