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Self-stabilizing Hierarchical Construction of Bounded Size Clusters

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Structural Information and Communication Complexity (SIROCCO 2011)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6796))

Abstract

We present a self-stabilizing clustering algorithm for asynchronous networks. Our algorithms works under any scheduler and is silent. The sizes of the clusters are bounded by a parameter of the algorithm. Our solution also avoids constructing a large number of small clusters. Although the clusters are disjoint (no node belongs to more than one cluster), the clusters are connected to form a tree so that the resulting overlay graph is connected. The height of the tree of clusters is bounded by the diameter of the network.

This research was partially funded by the Foundation for Scientific Cooperation Digiteo.

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References

  1. Amis, A.D., Prakash, R., Huynh, D., Vuong, T.: Max-min d-cluster formation in wireless ad hoc networks. In: IEEE INFOCOM, pp. 32–41 (2000)

    Google Scholar 

  2. Basagni, S.: Distributed clustering for ad hoc networks. In: International Symposium on parallel Architectures, Algorithms and Networks (ISPAN), pp. 310–315 (1999)

    Google Scholar 

  3. Bernard, T., Bui, A., Pilard, L., Sohier, D.: A distributed clustering algorithm for large-scale dynamic networks. International Journal of Cluster Computing, doi:10.1007/s10586-011-0153-z

    Google Scholar 

  4. Bui, A., Clavière, S., Datta, A.K., Sohier, D., Larmore, L.L.: Self-stabilizing hierarchical construction of bounded size clusters. Technical Report, http://www.prism.uvsq.fr/rapports/2011/document_2011_30.pdf

  5. Bui, A., Clavière, S., Sohier, D.: Distributed construction of nested clusters with inter-cluster routing. IEEE Advances in Parallel and Distributed Computing Models (2011)

    Google Scholar 

  6. Bui, A., Kudireti, A., Sohier, D.: A fully distributed clustering algorithm based on random walks. In: International Symposium on Parallel and Distributed Computing (ISPDC 2009), pp. 125–128. IEEE CS Press, Los Alamitos (2009)

    Chapter  Google Scholar 

  7. Caron, E., Datta, A.K., Depardon, B., Larmore, L.L.: A self-stabilizing k-clustering algorithm for weighted graphs. J. Parallel and Distributed Comp. 70, 1159–1173 (2010)

    Article  MATH  Google Scholar 

  8. Datta, A.K., Larmore, L.L., Vemula, P.: A self-stabilizing O(k)-time k-clustering algorithm. The Computer Journal 53(3), 342–350 (2010)

    Article  Google Scholar 

  9. Datta, A.K., Devismes, S., Larmore, L.L.: A random walk based clustering with local recomputations for mobile ad hoc networks. In: IPDPS, pp. 1–8 (2010)

    Google Scholar 

  10. Dijkstra, E.W.: Self stabilizing systems in spite of distributed control. Communications of the Association of Computing Machinery 17, 643–644 (1974)

    Article  MATH  Google Scholar 

  11. Dolev, S.: Self-Stabilization. The MIT Press, Cambridge (2000)

    MATH  Google Scholar 

  12. Dolev, S., Tzachar, N.: Empire of colonies: Self-stabilizing and self-organizing distributing algorithm. Theoretical Computer Science 410, 514–532 (2009)

    Article  MATH  MathSciNet  Google Scholar 

  13. Ephremides, A., Wieselthier, J.E., Baker, D.J.: A design concept for reliable mobile radio networks with frequency hopping signaling. IEEE 75(1), 56–73 (1987)

    Article  Google Scholar 

  14. Johnen, C., Mekhaldi, F.: Robust self-stabilizing construction of bounded size weight-based clusters. In: D’Ambra, P., Guarracino, M., Talia, D. (eds.) Euro-Par 2010. LNCS, vol. 6271, pp. 535–546. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  15. Johnen, C., Nguyen, L.: Robust self-stabilizing weight-based clustering algorithm. Theoretical Computer Science 410(6-7), 581–594 (2009)

    Article  MATH  MathSciNet  Google Scholar 

  16. Mitton, N., Busson, A., Fleury, E.: Self-organization in large scale ad hoc networks. In: Mediterranean ad hoc Networking Workshop, MedHocNet (2004)

    Google Scholar 

  17. Mitton, N., Fleury, E., Guerin Lassous, I., Tixeuil, S.: Self-stabilization in self-organized multihop wireless networks. In: Second International Workshop on Wireless Ad Hoc Networking. IEEE Computer Society, Los Alamitos (2005)

    Google Scholar 

  18. Sucec, J., Marsic, I.: Location management handoff overhead in hierarchically organized mobile ad hoc networks. Parallel and Distributed Processing Symp. 2, 194 (2002)

    Google Scholar 

  19. Sung, S., Seo, Y., Shin, Y.: Hierarchical clustering algorithm based on mobility in mobile ad hoc networks. In: Gavrilova, M.L., Gervasi, O., Kumar, V., Tan, C.J.K., Taniar, D., Laganá, A., Mun, Y., Choo, H. (eds.) ICCSA 2006. LNCS, vol. 3982, pp. 954–963. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  20. Yang, S.-J., Chou, H.-C.: Design issues and performance analysis of location-aided hierarchical cluster routing on the manet. In: International Conference on Communications and Mobile Computing, pp. 26–33. IEEE Computer Society, Los Alamitos (2009)

    Google Scholar 

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Bui, A., Clavière, S., Datta, A.K., Larmore, L.L., Sohier, D. (2011). Self-stabilizing Hierarchical Construction of Bounded Size Clusters. In: Kosowski, A., Yamashita, M. (eds) Structural Information and Communication Complexity. SIROCCO 2011. Lecture Notes in Computer Science, vol 6796. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22212-2_6

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  • DOI: https://doi.org/10.1007/978-3-642-22212-2_6

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-22211-5

  • Online ISBN: 978-3-642-22212-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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