Improved distributed local approximation algorithm for minimum 2-dominating set in planar graphs

DOI10.1016/j.tcs.2016.12.001zbMath1356.05146OpenAlexW2561474155MaRDI QIDQ501664

Edyta Szymańska, Marcin Witkowski, Michał Hanćkowiak, Andrzej Czygrinow, Wojciech Wawrzyniak

Publication date: 9 January 2017

Published in: Theoretical Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.tcs.2016.12.001

zbMATH Keywords

distributed graph algorithms

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Graph algorithms (graph-theoretic aspects) (05C85) Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) (05C69) Approximation algorithms (68W25) Distributed algorithms (68W15)

Related Items (6)

Compact distributed certification of planar graphs ⋮ Distributed approximation algorithms for \(k\)-dominating set in graphs of bounded genus and linklessly embeddable graphs ⋮ Distributed distance-\(r\) covering problems on sparse high-girth graphs ⋮ Local planar domination revisited ⋮ Local certification of graphs with bounded genus ⋮ Constant round distributed domination on graph classes with bounded expansion

Cites Work

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• Algorithmic aspects of the \(k\)-domination problem in graphs
• Survey of local algorithms
• The Algorithmic Complexity of k-Domatic Partition of Graphs
• Lower bounds for local approximation
• Fast Distributed Approximations in Planar Graphs
• Distributed Computing: A Locality-Sensitive Approach
• An efficient distributed algorithm for constructing small dominating sets

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