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Deterministic Leader Election in Anonymous Sensor Networks Without Common Coordinated System

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Principles of Distributed Systems (OPODIS 2007)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4878))

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Abstract

We address the Leader Election (LE) problem in networks of anonymous sensors sharing no kind of common coordinate system. The contribution of this paper is twofold: First, assuming n anonymous sensors agreeing on a common handedness (chirality) of their own coordinate system, we provide a complete characterization on the sensors positions to deterministically elect a leader. Our result holds for any n > 1, even if the n sensors have unlimited visibility and regardless of their capabilities, unbounded memory, mobility, and communication settings. Second, we show that this statement also holds assuming sensors without chirality provided that n is odd.

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References

  1. Angluin, D.: Local and global properties in networks of processors. In: STOC 1980. Proceedings of the 12th Annual ACM Symposium on Theory of Computing, pp. 82–93. ACM Press, New York (1980)

    Chapter  Google Scholar 

  2. Aspnes, J., Goldengerg, D., Yang, Y.R.: On the computational complexity of sensor network localization. In: Nikoletseas, S.E., Rolim, J.D.P. (eds.) ALGOSENSORS 2004. LNCS, vol. 3121, pp. 32–44. Springer, Heidelberg (2004)

    Google Scholar 

  3. Chemillier, M.: Periodic musical sequences and lyndon words. Soft Computing 8(9), 611–616 (2004)

    MATH  Google Scholar 

  4. Defago, X., Konagaya, A.: Circle formation for oblivious anonymous mobile robots with no common sense of orientation. In: POMC 2002. 2nd ACM International Annual Workshop on Principles of Mobile Computing, pp. 97–104. ACM Press, New York (2002)

    Chapter  Google Scholar 

  5. Delgrange, O., Rivals, E.: Star: an algorithm to search for tandem approximate repeats. Bioinformatics 20(16), 2812–2820 (2004)

    Article  Google Scholar 

  6. Y Dieudonné, Y., Labbani, O., Petit, F.: Circle formation of weak mobile robots. In: Datta, A.K., Gradinariu, M. (eds.) SSS 2006. LNCS, vol. 4280, pp. 262–275. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  7. Y Dieudonné, Y., Petit, F.: Circle formation of weak robots and Lyndon words. Information Processing Letters 104(4), 156–162 (2007)

    Article  Google Scholar 

  8. Dieudonné, Y., Petit, Y.: Swing words to make circle formation quiescent. In: Prencipe, G., Fales, S. (eds.) SIROCCO 2007. LNCS, vol. 4474, pp. 166–179. Springer, Heidelberg (2007)

    Google Scholar 

  9. Flocchini, P., Prencipe, G., Santoro, N., Widmayer, P.: Hard tasks for weak robots: The role of common knowledge in pattern formation by autonomous mobile robots. In: ISAAC 1999. 10th Annual International Symposium on Algorithms and Computation, pp. 93–102 (1999)

    Google Scholar 

  10. Flocchini, P., Prencipe, G., Santoro, N., Widmayer, P.: Pattern formation by autonomous robots without chirality. In: SIROCCO 2001. VIII International Colloquium on Structural Information and Communication Complexity, pp. 147–162 (2001)

    Google Scholar 

  11. Katreniak, B.: Biangular circle formation by asynchronous mobile robots. In: Pelc, A., Raynal, M. (eds.) SIROCCO 2005. LNCS, vol. 3499, pp. 185–199. Springer, Heidelberg (2005)

    Google Scholar 

  12. Lothaire, M.: Combinatorics on words. Addison-Wesley, Reading (1983)

    MATH  Google Scholar 

  13. Lynch, N.: Distributed algorithms. Morgan Kaufmann, San Francisco (1996)

    MATH  Google Scholar 

  14. Megiddo, N.: Linear-time algorithms for linear programming in r 3 and related problems. SIAM Journal on Computing 12(4), 759–776 (1983)

    Article  MathSciNet  MATH  Google Scholar 

  15. Prencipe, G.: Distributed Coordination of a Set of Autonomous Mobile Robots. PhD thesis, Dipartimento di Informatica, University of Pisa (2002)

    Google Scholar 

  16. Santoro, N.: Design and Analysis of Distributed Algorithms. John Wiley & Sons, Inc., Chichester (2007)

    MATH  Google Scholar 

  17. Siromoney, R., Mathew, L.: A public key cryptosystem based on lyndon words. Information Processing Letters 35(1), 33–36 (1990)

    Article  MathSciNet  MATH  Google Scholar 

  18. Suzuki, I., Yamashita, M.: Distributed anonymous mobile robots - formation of geometric patterns. SIAM Journal of Computing 28(4), 1347–1363 (1999)

    Article  MathSciNet  MATH  Google Scholar 

  19. Welzl, E.: Smallest enclosing disks (balls and ellipsoids). In: Maurer, H.A. (ed.) New Results and New Trends in Computer Science. LNCS, vol. 555, pp. 359–370. Springer, Heidelberg (1991)

    Chapter  Google Scholar 

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Eduardo Tovar Philippas Tsigas Hacène Fouchal

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Dieudonné, Y., Petit, F. (2007). Deterministic Leader Election in Anonymous Sensor Networks Without Common Coordinated System. In: Tovar, E., Tsigas, P., Fouchal, H. (eds) Principles of Distributed Systems. OPODIS 2007. Lecture Notes in Computer Science, vol 4878. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-77096-1_10

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  • DOI: https://doi.org/10.1007/978-3-540-77096-1_10

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-77095-4

  • Online ISBN: 978-3-540-77096-1

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