| MST construction in O(log log n) communication rounds |
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ACM Symposium on Parallel Algorithms and Architectures
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Proceedings of the fifteenth annual ACM symposium on Parallel algorithms and architectures
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San Diego, California, USA
SESSION: Algorithms 1
table of contents
Pages: 94 - 100
Year of Publication: 2003
ISBN:1-58113-661-7
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Downloads (6 Weeks): 11, Downloads (12 Months): 35, Citation Count: 1
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ABSTRACT
We consider a simple model for overlay networks, where all n processes are connected to all other processes, and each message contains at most O(log n) bits. For this model, we present a distributed algorithm that constructs a minimum-weight spanning tree in O(log log n) communication rounds, where in each round any process can send a message to each other process. This result is the first to break the ω(log n) parallel time complexity barrier with small message sizes.
REFERENCES
Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.
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Micah Adler , Wolfgang Dittrich , Ben Juurlink , Mirosław Kutyłowski , Ingo Rieping, Communication-optimal parallel minimum spanning tree algorithms (extended abstract), Proceedings of the tenth annual ACM symposium on Parallel algorithms and architectures, p.27-36, June 28-July 02, 1998, Puerto Vallarta, Mexico
[doi> 10.1145/277651.277662]
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B. Awerbuch, Optimal distributed algorithms for minimum weight spanning tree, counting, leader election, and related problems, Proceedings of the nineteenth annual ACM conference on Theory of computing, p.230-240, January 1987, New York, New York, United States
[doi> 10.1145/28395.28421]
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J. Jannotti, D. Gifford, K. L. Johnson, M. F. Kaashoek, and J. J. W. O'Toole. Overcast: Reliable multicasting with an overlay network. In 4th USENIX OSDI, pages 197--212, October 2000.
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Ion Stoica , Robert Morris , David Karger , M. Frans Kaashoek , Hari Balakrishnan, Chord: A scalable peer-to-peer lookup service for internet applications, Proceedings of the 2001 conference on Applications, technologies, architectures, and protocols for computer communications, p.149-160, August 2001, San Diego, California, United States
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