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Author Becker, F.; Montealegre, P.; Rapaport, I.; Todinca, I.
Title The role of randomness in the broadcast congested clique model Type
Year 2021 Publication Information and Computation Abbreviated Journal Inf. Comput.
Volume 281 Issue Pages 104669
Keywords Distributed computing; Broadcast congested clique; Message size complexity; Private and public coins; Simultaneous multi-party communication
Abstract We study the role of randomness in the broadcast congested clique model. This is a message-passing model of distributed computation where the nodes of a network know their local neighborhoods and they broadcast, in synchronous rounds, messages that are visible to every other node.

This works aims to separate three different settings: deterministic protocols, randomized protocols with private coins, and randomized protocols with public coins. We obtain the following results:

If more than one round is allowed, public randomness is as powerful as private ran-domness.

One-round public-coin algorithms can be exponentially more powerful than determin-istic algorithms running in several rounds.

One-round public-coin algorithms can be exponentially more powerful than one-round private-coin algorithms.

One-round private-coin algorithms can be exponentially more powerful than one-round deterministic algorithms.
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Corporate Author Thesis
Publisher Place of Publication Editor
Language Summary Language Original Title
Series Editor Series Title Abbreviated Series Title
Series Volume Series Issue Edition
ISSN 0890-5401 ISBN Medium
Area Expedition Conference
Notes WOS:000721215200042 Approved
Call Number UAI @ alexi.delcanto @ Serial 1491
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