A remark on the metric dimension in Riemannian manifolds of constant curvature

A remark on the metric dimension in Riemannian manifolds of constant curvature

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 totall...

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Bibliographic Details
Main Authors: Shiva Heidarkhani Gilani, Reza Mirzaie, Ebrahim Vatandoost
Format: Article
Language:English
Published: Amirkabir University of Technology 2025-02-01
Series:AUT Journal of Mathematics and Computing
Subjects:
metric dimension
riemannian manifold
graph
Online Access:https://ajmc.aut.ac.ir/article_5326_701c1c6aa05ef2d0eabf0555883c95ae.pdf
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