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A remark on the metric dimension in Riemannian manifolds of constant curvature | ||
AUT Journal of Mathematics and Computing | ||
مقاله 7، دوره 6، شماره 2، خرداد 2025، صفحه 171-176 اصل مقاله (371.52 K) | ||
نوع مقاله: Original Article | ||
شناسه دیجیتال (DOI): 10.22060/ajmc.2023.22527.1165 | ||
نویسندگان | ||
Shiva Heidarkhani Gilani؛ Reza Mirzaie* ؛ Ebrahim Vatandoost | ||
Department of Pure Mathematics, Faculty of Science, Imam Khomeini International University, Qazvin, Iran | ||
چکیده | ||
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. | ||
کلیدواژهها | ||
Metric dimension؛ Riemannian manifold؛ Graph | ||
مراجع | ||
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