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<p><b>Abstract</b>—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.</p>
Distributed computing, fault tolerance, leader election, point-to-point communication, broadcast communication, mailbox communication.

T. Kameda and M. Yamashita, "Leader Election Problem on Networks in which Processor Identity Numbers Are Not Distinct," in IEEE Transactions on Parallel & Distributed Systems, vol. 10, no. , pp. 878-887, 1999.
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