Leader Election Problem on Networks in which Processor Identity Numbers Are Not Distinct

  • Authors:
  • Masafumi Yamashita;Tsunehiko Kameda

  • Affiliations:
  • Kyushu Univ., Fukuoka, Japan;Simon Fraser Univ., Burnaby, B.C., Canada

  • Venue:
  • IEEE Transactions on Parallel and Distributed Systems
  • Year:
  • 1999

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Abstract

In the networks considered in this paper, processors do not have distinct identity numbers. On such a network, we discuss the leader election problem and the problem of counting the number of processors having the same identity number. As the communication mode, we consider port-to-port, broadcast-to-port, port-to-mailbox, and broadcast-to-mailbox. For each of the above communication modes, we present: 1) an algorithm for counting the number of processors with the same identity number, 2) an algorithm for solving the leader election problem, and 3) a graph theoretical characterizatoin of the solvable class for the leader election problem.