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Leader election in rings with nonunique labels

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We consider the leader election problem in a ring whose nodes have possibly nonunique labels. Every node knows a priori its own label and two integers, m and M, which are, respectively, a lower and an upper bound on the (unknown) size n of the ring. The aim is to decide whether leader election is possible and to perform it, if so. We consider both the synchronous and the asynchronous version of the problem and we are interested in message complexity in both cases. For the synchronous version we present an algorithm using O(n logn) messages and working in time O(M). Moreover, our algorithm uses O(n) messages when all identifiers are distinct. For the asynchronous version we show an Ω(nM) lower bound on message complexity for this problem, and present an algorithm for it using O(nM) messages.
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Bibliogr. 17 poz., wykr.
  • SITE. University of Ottawa, Ottawa, ON КIN 6N5, Canada
  • Departement d 'infarmatique, Université du Quebec en Outaouais, Hull. Quebec J8X 3X7, Canada
  • [1] H. Attiya, M. Snir and M. Warmuth. Computing on an Anonymous Ring, Journal of the ACM 35, (1988), 845-875.
  • [2] H. Attiya and M. Snir, Better Computing on the Anonymous Ring, Journal of Algorithms 12, (1991), 204-238.
  • [3] P. Boldi and S. Vigna, Computing anonymously with arbitrary knowledge. Proc. 18th ACM Symp. on Principles of Distributed Computing. 1999.
  • [4] J.E. Burns, A formal model for message passing systems. Tech. Report TR-9I. Computer Science Department, Indiana University. Bloomington, September 1980.
  • [5] K. Diks, E. Kranakis A. Malinowski and A. Pelc, Anonymous wireless rings. Theoretical Computer Science 145(1995), 95-109.
  • [6] P. Flocchini, E. Kranakis, D. Krizanc, EL. Luccio and N. Santoro, Sorting Multisets in Anonymous Rings, Proc. of the IEEE International Parallel and Distributed Processing Symposium (IPDPS 2000). Cancún, Mexico, (2000). 275-280.
  • [7] Franklin. W. R.: On an Improved Algorithm for Decentralised Extrema Finding in Circular Configurations of Processors. Comm, of ACM 25(5) (1982), 336-337.
  • [8] G.N. Fredrickson and N.A. Lynch, Electing a leader in a synchronous ring. Journal of the ACM 34 (1987), 98-115.
  • [9] D.S. Hirschberg, and J.B. Sinclair. Decentralized extrema-finding in circular configurations of processes, Communications of the ACM 23 (1980), 627-628.
  • [10] E. Kranakis. Symmetry and Computability in Anonymous Networks: A Brief Survey, Proc. 3rd Int. Conf on Structural Information and Communication Complexity, 1997, 1-16.
  • [11] E. Kranakis, D. Krizanc and J. van der Berg, Computing Boolean Functions on Anonymous Networks. Information and Computation I 14. (1994). 214-236.
  • [12] N.L. Lynch, Distributed algorithms. Morgan Kaufmann Publ. Inc., San Francisco, USA, 1996.
  • [13] G.L. Peterson. An 0(n log n) unidirectional distributed algorithm for the circular extrema problem, ACM Transactions on Programming Languages and Systems 4 (1982), 758-762.
  • [14] N. Sakamoto. Comparison of Initial Conditions for Distributed Algorithms on Anonymous Networks, Proc. 18th ACM Symp. on Principles of Distributed Computing, 1999, 173-179.
  • [15] M. Yamashita and T. Kameda. Computing on anonymous networks, Proc. 7th ACM Symp. on Principles of Distributed Computing, 1988, 117-130.
  • [16] M. Yamashita and T. Kameda. Electing a leader when procesor identity numbers are not distinct. Proc. 3rd Workshop on Distributed Algorithms, LNCS Vol 392, Springer-Verlag, 1989.
  • [17] M. Yamashita and T. Kameda, Computing on anonymous networks: Part I - characterizing the solvable cases, IEEE Trans. Parallel and Distributed Systems, 7 (1996), 69-89.
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