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Distributed Approximations for Packing in Unit-Disk Graphs

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4731))

Abstract

We give a distributed approximation algorithm for the vertex-packing problem in unit-disk graphs. Given a graph H, the algorithm finds in a unit-disk graph G a collection of pairwise disjoint copies of H of size which is approximately equal to the packing number of H in G. The algorithm is deterministic and runs in a poly-logarithmic number of rounds in the message passing model.

This work was supported by grant N206 017 32/2452 for years 2007-2010.

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Andrzej Pelc

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© 2007 Springer-Verlag Berlin Heidelberg

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Czygrinow, A., Hańćkowiak, M. (2007). Distributed Approximations for Packing in Unit-Disk Graphs. In: Pelc, A. (eds) Distributed Computing. DISC 2007. Lecture Notes in Computer Science, vol 4731. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-75142-7_14

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  • DOI: https://doi.org/10.1007/978-3-540-75142-7_14

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-75141-0

  • Online ISBN: 978-3-540-75142-7

  • eBook Packages: Computer ScienceComputer Science (R0)

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