Computing the \(k\)-metric dimension of graphs

DOI10.1016/j.amc.2016.12.005zbMath1411.05077OpenAlexW2561539344WikidataQ57974176 ScholiaQ57974176MaRDI QIDQ1735142

Alejandro Estrada-Moreno, Ismael González Yero, Juan Alberto Rodríguez-Velázquez

Publication date: 28 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2016.12.005

zbMATH Keywords

graph algorithmsNP-hard problemmetric dimensionNP-complete problem\(k\)-metric dimension\(k\)-metric dimensional graph

Mathematics Subject Classification ID

Programming involving graphs or networks (90C35) Trees (05C05) Abstract computational complexity for mathematical programming problems (90C60) Distance in graphs (05C12) Computational difficulty of problems (lower bounds, completeness, difficulty of approximation, etc.) (68Q17) Graph algorithms (graph-theoretic aspects) (05C85)

Related Items (16)

On the 2-metric resolvability of graphs ⋮ Edge metric dimension and mixed metric dimension of planar graph \(Q_n\) ⋮ Resolving sets tolerant to failures in three-dimensional grids ⋮ On 2-partition dimension of rotationally-symmetric graphs ⋮ A note on the complexity of \(k\)\textsc{-metric dimension} ⋮ Error-correcting codes from \(k\)-resolving sets ⋮ A note on \(k\)-metric dimensional graphs ⋮ The metric dimension of some generalized Petersen graphs ⋮ Mixed metric dimension of graphs ⋮ Relationships between the 2-metric dimension and the 2-adjacency dimension in the lexicographic product of graphs ⋮ Some binary products and integer linear programming for \(k\)-metric dimension of graphs ⋮ The \(k\)-metric dimension of corona product graphs ⋮ On the \(k\)-partition dimension of graphs ⋮ Metric dimension of maximal outerplanar graphs ⋮ On the k-metric dimension of metric spaces ⋮ Finite metric and 𝑘-metric bases on ultrametric spaces

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