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MST construction in O(log log n) communication rounds
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Source ACM Symposium on Parallel Algorithms and Architectures archive
Proceedings of the fifteenth annual ACM symposium on Parallel algorithms and architectures table of contents
San Diego, California, USA
SESSION: Algorithms 1 table of contents
Pages: 94 - 100  
Year of Publication: 2003
ISBN:1-58113-661-7
Authors
Zvi Lotker  Tel Aviv University, Tel Aviv, Israel
Elan Pavlov  Hebrew University, Jerusalem, Israel
Boaz Patt-Shamir  Hewlett Packard, One Cambridge Center, Cambridge MA
David Peleg
Sponsors
ACM: Association for Computing Machinery
SIGACT: ACM Special Interest Group on Algorithms and Computation Theory
SIGARCH: ACM Special Interest Group on Computer Architecture
Publisher
ACM  New York, NY, USA
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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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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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Collaborative Colleagues:
Zvi Lotker: colleagues
Elan Pavlov: colleagues
Boaz Patt-Shamir: colleagues
David Peleg: colleagues