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| Masafumi Yamashita, Tsunehiko Kameda, "Computing on Anonymous Networks: Part I-Characterizing the Solvable Cases," IEEE Transactions on Parallel and Distributed Systems, vol. 7, no. 1, pp. 69-89, January, 1996. | |||
| BibTex | x | ||
| @article{ 10.1109/71.481599, author = {Masafumi Yamashita and Tsunehiko Kameda}, title = {Computing on Anonymous Networks: Part I-Characterizing the Solvable Cases}, journal ={IEEE Transactions on Parallel and Distributed Systems}, volume = {7}, number = {1}, issn = {1045-9219}, year = {1996}, pages = {69-89}, doi = {http://doi.ieeecomputersociety.org/10.1109/71.481599}, publisher = {IEEE Computer Society}, address = {Los Alamitos, CA, USA}, } | |||
| RefWorks Procite/RefMan/Endnote | x | ||
| TY - JOUR JO - IEEE Transactions on Parallel and Distributed Systems TI - Computing on Anonymous Networks: Part I-Characterizing the Solvable Cases IS - 1 SN - 1045-9219 SP69 EP89 EPD - 69-89 A1 - Masafumi Yamashita, A1 - Tsunehiko Kameda, PY - 1996 KW - Anonymous network KW - distributed computing KW - leader election KW - edge election KW - spanning tree construction KW - topology recognition KW - knowledge. VL - 7 JA - IEEE Transactions on Parallel and Distributed Systems ER - | |||
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.
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