Title of article :
A remark on the metric dimension in Riemannian manifolds of constant curvature
Author/Authors :
Heidarkhani Gilani ، Shiva Department of Pure Mathematics - Faculty of Science - Imam Khomeini International University , Mirzaie ، Reza Department of Pure Mathematics - Faculty of Science - Imam Khomeini International University , Vatandoost ، Ebrahim Department of Pure Mathematics - Faculty of Science - Imam Khomeini International University
Abstract :
We compute the metric dimension of Riemannian manifolds of constant curvature. We define the edge weghited metric dimension of the geodesic graphs in Riemannian manifolds and we show that each complete geodesic graph G = (V, E) embedded in a Riemannian manifold of constant curvature resolves a totally geodesic submanifold of dimension |V | − 1.
Keywords :
Metric dimension , Riemannian manifold , Graph
Journal title :
AUT Journal of Mathematics and Computing
Journal title :
AUT Journal of Mathematics and Computing
