Leader Election Algorithms for Multi-channel Wireless Networks

  • Authors:
  • Tarun Bansal;Neeraj Mittal;S. Venkatesan

  • Affiliations:
  • Department of Computer Science, The University of Texas at Dallas, Richardson, USA TX 75080;Department of Computer Science, The University of Texas at Dallas, Richardson, USA TX 75080;Department of Computer Science, The University of Texas at Dallas, Richardson, USA TX 75080

  • Venue:
  • WASA '08 Proceedings of the Third International Conference on Wireless Algorithms, Systems, and Applications
  • Year:
  • 2008

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Abstract

We study the leader election problem in single-hop multi-channel wireless networks with single-antenna radio nodes. The objective is to elect leaders for all channels on which one or more nodes in the network can operate. We assume that nodes do not have collision detection capability. In this paper, we propose three algorithms for leader election: one deterministic and two randomized. The deterministic algorithm executes for at most 2N+ M驴logM驴 time slots and guarantees leader election for all the channels, where Mis the size of the universal channel set available to the nodes and Nis the size of the label space used to assign unique labels to the nodes. The randomized algorithms guarantee that a leader is elected for all the channels with probability at least 1 驴 1/fwithin $O ( M \log^{2}(n_{\max}) + M\log^{2} (Mf) )$ and O(Mlog(nmax) log(Mf)) time slots, respectively, where nmaxis the maximum number of nodes operating on any channel in the network. To the best of our knowledge, this is the first work on leader election in single-antenna multi-channel radio networks.