arXiv subjects

E. Dodongeh

Publications and source records attributed to E. Dodongeh.

2 recordsLinked to original sources

arXiv2023

Strong resolving graph of the intersection graph in commutative rings

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

math.CO↗

arXiv2023

Exploring Metric and Strong Metric Dimensions in Inclusion Ideal Graphs of Commutative Rings

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 $In(R)$.

math.CO↗