Strong metric dimension of the prime ideal sum graphs of commutative rings
Abstract
Let RR be a commutative ring with unity. The prime ideal sum graph of the ring R is the simple undirected graph whose vertex set is the set of all nonzero proper ideals of R and two vertices I and J are adjacent if and only if I+J is a prime ideal of R. In this paper, we obtain the strong metric dimension of the prime ideal sum graph for various classes of Artinian nonlocal commutative rings.
Communicated by Tai Huy Ha