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Brief Announcement

DOI: 10.4230/LIPIcs.DISC.2018.47

Brief Announcement: A Tight Lower Bound for Clock Synchronization in Odd-Ary M-Toroids

Authors: Reginald Frank and Jennifer L. Welch

Published in: LIPIcs, Volume 121, 32nd International Symposium on Distributed Computing (DISC 2018)

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.

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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)

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@InProceedings{frank_et_al:LIPIcs.DISC.2018.47,
  author =	{Frank, Reginald and Welch, Jennifer L.},
  title =	{{Brief Announcement: A Tight Lower Bound for Clock Synchronization in Odd-Ary M-Toroids}},
  booktitle =	{32nd International Symposium on Distributed Computing (DISC 2018)},
  pages =	{47:1--47:3},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-092-7},
  ISSN =	{1868-8969},
  year =	{2018},
  volume =	{121},
  editor =	{Schmid, Ulrich and Widder, Josef},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.DISC.2018.47},
  URN =		{urn:nbn:de:0030-drops-98360},
  doi =		{10.4230/LIPIcs.DISC.2018.47},
  annote =	{Keywords: Clock synchronization, Lower bound, k-ary m-toroid}
}

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Brief Announcement: A Tight Lower Bound for Clock Synchronization in Odd-Ary M-Toroids

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