Optimal broadcast

Baruch Awerbuch, Shay Kutten, Yishay Mansour, David Peleg

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

This work concerns the problem of broadcasting a large message efficiently when each processor has partial prior knowledge about the contents of the broadcast message. The partial information held by the processors might be out of date or otherwise erroneous, and consequently, different processors may hold conflicting information. The problem of Broadcast with Partial Knowledge (BPK) was introduced in the context of Topology Update - the task of updating network nodes about the network topology after topological changes. Awerbuch, Cidon, and Kutten gave a message optimal solution for BPK, yielding a message optimal Topology Update algorithm. However, the time complexity of both algorithms was not optimal. The time complexity was subsequently improved in two follow up papers, but the best known time complexity was still higher than optimal by at least a logarithmic factor. tn this paper we present a time-optimal, communication-optimal algorithm for BPK. The algorithm is randomized, and, similar to previous randomized algorithms, it does not require the additional knowledge assumptions essential for deterministic solutions. In addition to the theoretical interest in optimality, a logarithmic factor is often important in practice, especially when using the procedure as a component within a periodically activated Topology Update algorithm.

Original languageEnglish
Title of host publicationDistributed Algorithms - 9th International Workshop, WDAG 1995, Proceedings
EditorsJean-Michel Helary, Michel Raynal
PublisherSpringer Verlag
Pages116-130
Number of pages15
ISBN (Print)3540602747, 9783540602743
DOIs
StatePublished - 1995
Event9th International Workshop on Distributed Algoriths, WDAG 1995 - Le Mont-Saint-Michel, France
Duration: 13 Sep 199515 Sep 1995

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume972
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference9th International Workshop on Distributed Algoriths, WDAG 1995
Country/TerritoryFrance
CityLe Mont-Saint-Michel
Period13/09/9515/09/95

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