Title :
Computing on anonymous networks. I. Characterizing the solvable cases
Author :
Yamashita, Masafumi ; Kameda, Tsunehiko
Author_Institution :
Dept. of Electr. Eng., Hiroshima Univ., Japan
fDate :
1/1/1996 12:00:00 AM
Abstract :
In anonymous networks, the processors do not have identity numbers. We investigate the following representative problems on anonymous networks: (a) the leader election problem, (b) the edge election problem, (c) the spanning tree construction problem, and (d) the topology recognition problem. On a given network, the above problems may or may not be solvable, depending on the amount of information about the attributes of the network made available to the processors. Some possibilities are: (1) no network attribute information at all is available, (2) an upper bound on the number of processors in the network is available, (3) the exact number of processors in the network is available, and (4) the topology of the network is available. In terms of a new graph property called “symmetricity”, in each of the four cases (1)-(4) above, we characterize the class of networks on which each of the four problems (a)(d) is solvable. We then relate the symmetricity of a network to its 1- and 2-factors
Keywords :
computer networks; multiprocessor interconnection networks; anonymous networks; edge election problem; leader election problem; spanning tree construction; symmetricity; Computer aided software engineering; Computer networks; Distributed algorithms; Distributed computing; Joining processes; Network topology; Nominations and elections; Notice of Violation; Probes; Upper bound;
Journal_Title :
Parallel and Distributed Systems, IEEE Transactions on