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Deterministic Leader Election in Multi-hop Beeping Networks

(Extended Abstract)

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Distributed Computing (DISC 2014)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 8784))

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Abstract

We study deterministic leader election in multi-hop radio networks in the beeping model. More specifically, we address explicit leader election: One node is elected as the leader, the other nodes know its identifier, and the algorithm terminates at some point with the network being quiescent. No initial knowledge of the network is assumed, i.e., nodes know neither the size of the network nor their degree, they only have a unique identifier. Our main contribution is a deterministic explicit leader election algorithm in the synchronous beeping model with a run time of O(D logn) rounds. This is achieved by carefully combining a fast local election algorithm with two new techniques for synchronization and communication in radio networks.

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References

  1. Angluin, D.: Local and global properties in networks of processors (extended abstract). In: STOC, pp. 82–93 (1980)

    Google Scholar 

  2. Bar-Yehuda, R., Goldreich, O., Itai, A.: On the time-complexity of broadcast in multi-hop radio networks: An exponential gap between determinism and randomization. J. Comput. Syst. Sci. 45(1), 104–126 (1992)

    Article  MathSciNet  MATH  Google Scholar 

  3. Capetanakis, J.: Tree algorithms for packet broadcast channels. IEEE Transactions on Information Theory 25(5), 505–515 (1979)

    Article  MathSciNet  MATH  Google Scholar 

  4. Chlebus, B.S., Kowalski, D.R., Pelc, A.: Electing a leader in multi-hop radio networks. In: Baldoni, R., Flocchini, P., Binoy, R. (eds.) OPODIS 2012. LNCS, vol. 7702, pp. 106–120. Springer, Heidelberg (2012)

    Chapter  Google Scholar 

  5. Chrobak, M., Gasieniec, L., Kowalski, D.R.: The wake-up problem in multihop radio networks. SIAM J. Comput. 36(5), 1453–1471 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  6. Clementi, A.E.F., Monti, A., Silvestri, R.: Distributed broadcast in radio networks of unknown topology. Theor. Comput. Sci. 302(1-3), 337–364 (2003)

    Article  MathSciNet  MATH  Google Scholar 

  7. Cornejo, A., Kuhn, F.: Deploying wireless networks with beeps. In: Lynch, N.A., Shvartsman, A.A. (eds.) DISC 2010. LNCS, vol. 6343, pp. 148–162. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  8. Flury, R., Wattenhofer, R.: Slotted programming for sensor networks. In: IPSN, pp. 24–34 (2010)

    Google Scholar 

  9. Gasieniec, L., Pelc, A., Peleg, D.: The wakeup problem in synchronous broadcast systems. SIAM J. Discrete Math. 14(2), 207–222 (2001)

    Article  MathSciNet  MATH  Google Scholar 

  10. Ghaffari, M., Haeupler, B.: Near optimal leader election in multi-hop radio networks. In: SODA, pp. 748–766 (2013)

    Google Scholar 

  11. Ghaffari, M., Haeupler, B.: Near optimal leader election in multi-hop radio networks. CoRR, abs/1210.8439v2 (April 2014)

    Google Scholar 

  12. Greenberg, A.G., Winograd, S.: A lower bound on the time needed in the worst case to resolve conflicts deterministically in multiple access channels. J. ACM 32(3), 589–596 (1985)

    Article  MathSciNet  MATH  Google Scholar 

  13. Hayes, J.F.: An adaptive technique for local distribution. IEEE Transactions on Communications 26(8), 1178–1186 (1978)

    Article  Google Scholar 

  14. Jurdzinski, T., Stachowiak, G.: Probabilistic algorithms for the wake-up problem in single-hop radio networks. Theory Comput. Syst. 38(3), 347–367 (2005)

    Article  MathSciNet  MATH  Google Scholar 

  15. Kowalski, D.R., Pelc, A.: Leader election in ad hoc radio networks: A keen ear helps. Journal of Computer and System Sciences 79(7), 1164–1180 (2013)

    Article  MathSciNet  MATH  Google Scholar 

  16. Kushilevitz, E., Mansour, Y.: An Ω(Dlog(N/D)) lower bound for broadcast in radio networks. SIAM J. Comput. 27(3), 702–712 (1998)

    Article  MathSciNet  MATH  Google Scholar 

  17. Lynch, N.A.: Distributed Algorithms. Morgan Kaufmann (1996)

    Google Scholar 

  18. Pelc, A.: Activating anonymous ad hoc radio networks. Distributed Computing 19(5-6), 361–371 (2007)

    Article  MATH  Google Scholar 

  19. Tsybakov, B.S., Mikhailov, V.A.: Free synchronous packet access in a broadcast channel with feedback. Probl. Inf. Transm. 14(4), 259–280 (1978)

    MathSciNet  Google Scholar 

  20. Willard, D.E.: Log-logarithmic selection resolution protocols in a multiple access channel. SIAM J. Comput. 15(2), 468–477 (1986)

    Article  MathSciNet  MATH  Google Scholar 

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Förster, KT., Seidel, J., Wattenhofer, R. (2014). Deterministic Leader Election in Multi-hop Beeping Networks. In: Kuhn, F. (eds) Distributed Computing. DISC 2014. Lecture Notes in Computer Science, vol 8784. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-45174-8_15

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  • DOI: https://doi.org/10.1007/978-3-662-45174-8_15

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-45173-1

  • Online ISBN: 978-3-662-45174-8

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