2023/08/18 by Dodongeh, E., Moussavi, A., Nikandish, R.
#Combinatorics (math.CO) #FOS: Mathematics
paper · doi:10.48550/arxiv.2308.09696
The inclusion ideal graph of a commutative unitary ring R is the (undirected) graph In(R) whose vertices all non-trivial ideals of R and two distinct vertices are adjacent if and only if one of them is a proper subset of the other one. In this paper, the metric dimension of In(R) is discussed. Moreover, the structure of the resolving graph of In(R) is characterized and as an application, we compute the strong metric dimension of In(R).