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An Incremental Distributed Algorithm for a Partial Grundy Coloring of Graphs

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Parallel and Distributed Processing and Applications (ISPA 2007)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4742))

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Abstract

A coloring of a graph G = (V,E) is a partition of {V 1,V 2 ⋯ V k } of V into k independent sets called color classes. A vertex v ∈ V i is called a Grundy vertex if it is adjacent to at least one vertex in color class V j , for every j < i. In the partial Grundy coloring, every color class contains at least one Grundy vertex. Such a coloring gives a partitioning of the graph into clusters for which every cluster has a clusterhead (the Grundy vertex) adjacent to some other clusters. Such a decomposition is very interesting for large distributed systems and networks. In this paper, we propose a distributed algorithm to maintain the partial Grundy coloring of any graph G when an edge is added

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Authors and Affiliations

  1. Université de Lyon, Lyon, F-69003, France , Laboratoire LIESP, Université Lyon1, IUTA, Département Informatique, 71 rue Peter Fink, F-01000 Bourg en Bresse, France

    Lyes Dekar

  2. Université de Lyon, Lyon, F-69003, France , Laboratoire LIESP, Université Lyon1, Bâtiment Nautibus (ex.710), 43 bd du 11 Novembre 1918, 69622 Villeurbanne Cedex, France

    Brice Effantin & Hamamache Kheddouci

Authors
  1. Lyes Dekar
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  2. Brice Effantin
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  3. Hamamache Kheddouci
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Editor information

Ivan Stojmenovic Ruppa K. Thulasiram Laurence T. Yang Weijia Jia Minyi Guo Rodrigo Fernandes de Mello

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© 2007 Springer-Verlag Berlin Heidelberg

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Dekar, L., Effantin, B., Kheddouci, H. (2007). An Incremental Distributed Algorithm for a Partial Grundy Coloring of Graphs. In: Stojmenovic, I., Thulasiram, R.K., Yang, L.T., Jia, W., Guo, M., de Mello, R.F. (eds) Parallel and Distributed Processing and Applications. ISPA 2007. Lecture Notes in Computer Science, vol 4742. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74742-0_18

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  • DOI: https://doi.org/10.1007/978-3-540-74742-0_18

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-74741-3

  • Online ISBN: 978-3-540-74742-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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