M. Mehrara
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Research Subjects
M. Mehrara has a total of 2 co-authors. Here are the top co-authors by number of shared publications:
- Mohammad Javad Nikmehr
Faculty of Mathematics, K.N. Toosi University of Technology, Tehran, Iran
1 shared publication - Reza Nikandish
Department of Mathematics, Jundi-Shapur University of Technology, Dezful, Iran
1 shared publication
Latest Publications
- 27 June 2025
- Published by World Scientific Pub Co Pte Ltd in Discrete Mathematics, Algorithms and Applications
- Vol. 18 (07)
Metric and strong metric dimension of essential annihilating-ideal graph of commutative rings
The (strong) metric dimension of a connected graph [Formula: see text] is the cardinal number of a (strong) metric basis in [Formula: see text], i.e., the smallest subset of vertices which can determine the position of each vertex by its vector of distances with respect to itself in a unique way (the smallest subset of vertices such that for every pair of vertices [Formula: see text] contains a vertex [Formula: see text] such that either [Formula: see text] or [Formula: see text]. The essential annihilating-ideal graph [Formula: see text] of a commutative unital ring [Formula: see text] is a simple graph whose vertices are nonzero ideals of [Formula: see text] with nonzero annihilator and two distinct vertices [Formula: see text] are joined by an edge if and only if [Formula: see text] is an essential ideal of [Formula: see text]. In this paper, the metric and strong metric dimensions of [Formula: see text] are presented in some explicit formulae, for various classes of rings [Formula: see text].
- 27 June 2025
- Published by World Scientific Pub Co Pte Ltd in Discrete Mathematics, Algorithms and Applications
- Vol. 18 (07)
Metric and strong metric dimension of essential annihilating-ideal graph of commutative rings
The (strong) metric dimension of a connected graph [Formula: see text] is the cardinal number of a (strong) metric basis in [Formula: see text], i.e., the smallest subset of vertices which can determine the position of each vertex by its vector of distances with respect to itself in a unique way (the smallest subset of vertices such that for every pair of vertices [Formula: see text] contains a vertex [Formula: see text] such that either [Formula: see text] or [Formula: see text]. The essential annihilating-ideal graph [Formula: see text] of a commutative unital ring [Formula: see text] is a simple graph whose vertices are nonzero ideals of [Formula: see text] with nonzero annihilator and two distinct vertices [Formula: see text] are joined by an edge if and only if [Formula: see text] is an essential ideal of [Formula: see text]. In this paper, the metric and strong metric dimensions of [Formula: see text] are presented in some explicit formulae, for various classes of rings [Formula: see text].