The metric dimension of metric spaces

DOI10.1007/s40315-013-0024-0zbMath1282.51004OpenAlexW2039562378MaRDI QIDQ380725

Sheng Bau, Alan F. Beardon

Publication date: 14 November 2013

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40315-013-0024-0

zbMATH Keywords

dimensionmetric spaceresolving setmetric basis

Mathematics Subject Classification ID

Distance in graphs (05C12) General theory of distance geometry (51K05) Reflection groups, reflection geometries (51F15)

Related Items (15)

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 ⋮ The metric dimension of geometric spaces ⋮ On the \(k\)-partition dimension of graphs ⋮ An elementary proof for the non-bijective version of Wigner's theorem ⋮ 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 ⋮ Finite metric and 𝑘-metric bases on ultrametric spaces ⋮ Power graphs and exchange property for resolving sets

Cites Work

• Determining sets, resolving sets, and the exchange property
• Notes on geometry
• A metric basis characterization of Euclidean spaces
• The Klein, Hilbert and Poincaré metrics of a domain
• Resolvability in graphs and the metric dimension of a graph
• Hilbert's metric and positive contraction mappings in a Banach space
• Landmarks in graphs
• On the Metric Dimension of Infinite Graphs
• Metric bases in digital geometry
• Part Metric and Hyperbolic Metric
• Metric spaces, convexity and nonpositive curvature
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The metric dimension of metric spaces