Resolving sets tolerant to failures in three-dimensional grids

DOI10.1007/s00009-022-02096-1zbMath1493.05088arXiv2112.08768OpenAlexW4285008974MaRDI QIDQ2167827

Ana D. Tarrío-Tobar, Mercè Mora, María José Souto Salorio

Publication date: 31 August 2022

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.08768

zbMATH Keywords

resolving setmetric dimension\(k\)-metric dimensionfault-tolerantthree-dimensional grid\(k\)-resolving set

Mathematics Subject Classification ID

Distance in graphs (05C12) Graph operations (line graphs, products, etc.) (05C76)

Cites Work

• The \(k\)-metric dimension of the lexicographic product of graphs
• \(k\)-metric resolvability in graphs
• The \(k\)-metric dimension of corona product graphs
• Mastermind
• Fault tolerant detectors for distinguishing sets in graphs
• Resolvability in graphs and the metric dimension of a graph
• Error-correcting codes from \(k\)-resolving sets
• Computing the \(k\)-metric dimension of graphs
• Some binary products and integer linear programming for \(k\)-metric dimension of graphs
• On the fault-tolerant metric dimension of certain interconnection networks
• On the metric dimension of Cartesian powers of a graph
• Landmarks in graphs
• Minimum Fault-Tolerant, local and strong metric dimension of graphs
• On the Metric Dimension of Cartesian Products of Graphs
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