TY - JOUR
T1 - Leader election problem on networks in which processor identity numbers are not distinct
AU - Yamashita, Masafumi
AU - Kameda, Tsunehiko
N1 - Funding Information:
The authors are grateful to Dr. Nancy Norris for contributing Theorem 9, and for extensive and inspiring discussions. This work was supported, in part, by the Natural Sciences and Engineering Council of Canada under Grant No. A5340, and by a Scientific Research Grant-in-Aid from the Ministry of Education, Science, and Culture of Japan.
PY - 1999
Y1 - 1999
N2 - 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.
AB - 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.
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U2 - 10.1109/71.798313
DO - 10.1109/71.798313
M3 - Article
AN - SCOPUS:0033185158
VL - 10
SP - 878
EP - 887
JO - IEEE Transactions on Parallel and Distributed Systems
JF - IEEE Transactions on Parallel and Distributed Systems
SN - 1045-9219
IS - 9
ER -