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Brief Announcement: A Tight Lower Bound for Clock Synchronization in Odd-Ary M-Toroids
Authors
Reginald Frank 
,
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32nd International Symposium on Distributed Computing (DISC 2018)
Series: Leibniz International Proceedings in Informatics (LIPIcs)
Conference: International Symposium on Distributed Computing (DISC) - License:
Creative Commons Attribution 3.0 Unported license
- Publication date: 2018-10-04
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Reginald Frank and Jennifer L. Welch. Brief Announcement: A Tight Lower Bound for Clock Synchronization in Odd-Ary M-Toroids. In 32nd International Symposium on Distributed Computing (DISC 2018). Leibniz International Proceedings in Informatics (LIPIcs), Volume 121, pp. 47:1-47:3, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2018)
https://doi.org/10.4230/LIPIcs.DISC.2018.47
https://doi.org/10.4230/LIPIcs.DISC.2018.47
Abstract
In this paper we show a tight closed-form expression for the optimal clock synchronization in k-ary m-cubes with wraparound, where k is odd. This is done by proving a lower bound of 1/4um (k-1/k), where k is the (odd) number of processes in each of the m dimensions, and u is the uncertainty in delay on every link. Our lower bound matches the previously known upper bound.
Subject Classification
ACM Subject Classification
- Theory of computation → Distributed algorithms
Keywords
- Clock synchronization
- Lower bound
- k-ary m-toroid
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References
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