The metric dimension of geometric spaces

DOI10.1016/j.topol.2014.09.012zbMath1305.54043OpenAlexW2089147920MaRDI QIDQ471461

Majid Heydarpour, Saeid Maghsoudi

Publication date: 14 November 2014

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2014.09.012

zbMATH Keywords

Riemannian manifoldsmetric spaceresolving setmetric dimension

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Global Riemannian geometry, including pinching (53C20) Dimension theory in general topology (54F45) General theory of distance geometry (51K05)

Related Items (11)

Is it possible to determine a point lying in a simplex if we know the distances from the vertices? ⋮ On metric orbit spaces and metric dimension ⋮ Getting the Lay of the Land in Discrete Space: A Survey of Metric Dimension and Its Applications ⋮ On the metric dimension of certain metric manifolds ⋮ Metric dimension of metric transform and wreath product ⋮ On the k-metric dimension of metric spaces ⋮ Metric dimensions of metric spaces over integers ⋮ Lexicographic metric spaces: Basic properties and the metric dimension ⋮ BISECTORS IN VECTOR GROUPS OVER INTEGERS ⋮ THE METRIC DIMENSION OF METRIC MANIFOLDS ⋮ Power graphs and exchange property for resolving sets

Cites Work

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• The metric dimension of metric spaces
• Determining sets, resolving sets, and the exchange property
• Landmarks in graphs
• On the Metric Dimension of Infinite Graphs
• Metric bases in digital geometry

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