2 Search Results for "Mashreghi, Ali"

Document
Brief Announcement
DOI: 10.4230/LIPIcs.DISC.2019.49
Brief Announcement: Faster Asynchronous MST and Low Diameter Tree Construction with Sublinear Communication

Authors: Ali Mashreghi and Valerie King

Published in: LIPIcs, Volume 146, 33rd International Symposium on Distributed Computing (DISC 2019)

Abstract
Building a spanning tree, minimum spanning tree (MST), and BFS tree in a distributed network are fundamental problems which are still not fully understood in terms of time and communication cost. The first work to succeed in computing a spanning tree with communication sublinear in the number of edges in an asynchronous CONGEST network appeared in DISC 2018. That algorithm which constructs an MST is sequential in the worst case; its running time is proportional to the total number of messages sent. Our paper matches its message complexity but brings the running time down to linear in n. Our techniques can also be used to provide an asynchronous algorithm with sublinear communication to construct a tree in which the distance from a source to each node is within an additive term of sqrt{n} of its actual distance.
Cite as

Ali Mashreghi and Valerie King. Brief Announcement: Faster Asynchronous MST and Low Diameter Tree Construction with Sublinear Communication. In 33rd International Symposium on Distributed Computing (DISC 2019). Leibniz International Proceedings in Informatics (LIPIcs), Volume 146, pp. 49:1-49:3, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2019)

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@InProceedings{mashreghi_et_al:LIPIcs.DISC.2019.49,
  author =	{Mashreghi, Ali and King, Valerie},
  title =	{{Brief Announcement: Faster Asynchronous MST and Low Diameter Tree Construction with Sublinear Communication}},
  booktitle =	{33rd International Symposium on Distributed Computing (DISC 2019)},
  pages =	{49:1--49:3},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-126-9},
  ISSN =	{1868-8969},
  year =	{2019},
  volume =	{146},
  editor =	{Suomela, Jukka},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.DISC.2019.49},
  URN =		{urn:nbn:de:0030-drops-113566},
  doi =		{10.4230/LIPIcs.DISC.2019.49},
  annote =	{Keywords: Distributed Computing, Minimum Spanning Tree, Broadcast Tree}
}
Document
DOI: 10.4230/LIPIcs.DISC.2018.37
Broadcast and Minimum Spanning Tree with o(m) Messages in the Asynchronous CONGEST Model

Authors: Ali Mashreghi and Valerie King

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

Abstract
We provide the first asynchronous distributed algorithms to compute broadcast and minimum spanning tree with o(m) bits of communication, in a sufficiently dense graph with n nodes and m edges. For decades, it was believed that Omega(m) bits of communication are required for any algorithm that constructs a broadcast tree. In 2015, King, Kutten and Thorup showed that in the KT1 model where nodes have initial knowledge of their neighbors' identities it is possible to construct MST in O~(n) messages in the synchronous CONGEST model. In the CONGEST model messages are of size O(log n). However, no algorithm with o(m) messages were known for the asynchronous case. Here, we provide an algorithm that uses O(n^{3/2} log^{3/2} n) messages to find MST in the asynchronous CONGEST model. Our algorithm is randomized Monte Carlo and outputs MST with high probability. We will provide an algorithm for computing a spanning tree with O(n^{3/2} log^{3/2} n) messages. Given a spanning tree, we can compute MST with O~(n) messages.
Cite as

Ali Mashreghi and Valerie King. Broadcast and Minimum Spanning Tree with o(m) Messages in the Asynchronous CONGEST Model. In 32nd International Symposium on Distributed Computing (DISC 2018). Leibniz International Proceedings in Informatics (LIPIcs), Volume 121, pp. 37:1-37:17, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2018)

Copy BibTex To Clipboard

@InProceedings{mashreghi_et_al:LIPIcs.DISC.2018.37,
  author =	{Mashreghi, Ali and King, Valerie},
  title =	{{Broadcast and Minimum Spanning Tree with o(m) Messages in the Asynchronous CONGEST Model}},
  booktitle =	{32nd International Symposium on Distributed Computing (DISC 2018)},
  pages =	{37:1--37:17},
  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-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.DISC.2018.37},
  URN =		{urn:nbn:de:0030-drops-98263},
  doi =		{10.4230/LIPIcs.DISC.2018.37},
  annote =	{Keywords: Distributed Computing, Minimum Spanning Tree, Broadcast Tree}
}
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