On the Metric Dimension of Certain Metric Manifolds

On the Metric Dimension of Certain Metric Manifolds

In this paper, we find a sharp upper and lower bound for the metric dimension of a geometric manifold with boundary. We also determine the cases in which the bounds hold with equality

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Veröffentlicht in:Bulletin of the Iranian Mathematical Society 2021-06, Vol.47 (3), p.649-657
Hauptverfasser: Heydarpour, Majid, Maghsoudi, Saeid
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics and Statistics
Original Paper
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Zusammenfassung:In this paper, we find a sharp upper and lower bound for the metric dimension of a geometric manifold with boundary. We also determine the cases in which the bounds hold with equality
ISSN:1017-060X
1735-8515
DOI:10.1007/s41980-020-00404-7