Fixed-parameter approximations for \(k\)-center problems in low highway dimension graphs

DOI10.1007/s00453-018-0455-0zbMath1418.68241OpenAlexW2803914036MaRDI QIDQ666662

Andreas Emil Feldmann

Publication date: 11 March 2019

Published in: Algorithmica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00453-018-0455-0

zbMATH Keywords

\(k\)-\textsc{Center}highway dimensionparameterized approximation

Mathematics Subject Classification ID

Programming involving graphs or networks (90C35) Analysis of algorithms and problem complexity (68Q25) Distance in graphs (05C12) Computational difficulty of problems (lower bounds, completeness, difficulty of approximation, etc.) (68Q17) Approximation algorithms (68W25)

Related Items (10)

The parameterized hardness of the \(k\)-center problem in transportation networks ⋮ Generalized \(k\)-center: distinguishing doubling and highway dimension ⋮ A parameterized approximation algorithm for the multiple allocation \(k\)-hub center ⋮ Unnamed Item ⋮ Graph burning and non-uniform \(k\)-centers for small treewidth ⋮ Tight FPT approximation for constrained \(k\)-center and \(k\)-supplier ⋮ Polynomial time approximation schemes for clustering in low highway dimension graphs ⋮ Travelling on graphs with small highway dimension ⋮ \(\mathsf{W[1}\)-hardness of the \(k\)-center problem parameterized by the skeleton dimension] ⋮ Computing Constrained Shortest-Paths at Scale

Uses Software

• DIMACS

Cites Work

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