The power of multimedia: Combining point-to-point and multiaccess networks

Yehuda Afek, Gad M. Landau, Baruch Schieber, Moti Yung

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

Abstract

In this paper we introduce a new network model called a multimedia network. It combines the point-to-point message passing network and the multiaccess channel. To benefit from the combination we design algorithms which consist of two stages: a local stage which utilizes the parallelism of the point-to-point network and a global stage which utilizes the broadcast capability of the multiaccess channel. As a reasonable approach, one wishes to balance the complexities of the two stages by obtaining an efficient partition of the network into O(√n) connected components each of radius O(√n). To this end we present efficient deterministic and randomized partitioning algorithms. The deterministic algorithm runs in O(√n log n) time and O(m + n log n log n) messages, where n and m are the number of nodes and number of point-to-point links in the network. The randomized algorithm runs in the same time, but sends only O(m+ n log n) messages. The partitioning algorithms are then used to obtain: (1) O(√n log n log n) time deterministic and O(√n log n) time randomized algorithms for computing global sensitive functions, and (2) O(√n log n) time deterministic algorithm for computing a minimum spanning tree. An Ω(n) time lower bounds for computing global sensitive functions in both point-topoint and multiaccess networks, are given, thus showing that the multimedia network is more powerful than both its separate components. Furthermore, we prove an Ω(√n) time lower bound for multimedia networks, thus leaving a small gap between our upper and lower bounds.

Original languageEnglish
Title of host publicationProceedings of the 7th Annual ACM Symposium on Principles of Distributed Computing, PODC 1988
PublisherAssociation for Computing Machinery
Pages90-104
Number of pages15
ISBN (Electronic)0897912772
DOIs
StatePublished - 1 Jan 1988
Externally publishedYes
Event7th Annual ACM Symposium on Principles of Distributed Computing, PODC 1988 - Toronto, Canada
Duration: 15 Aug 198817 Aug 1988

Publication series

NameProceedings of the Annual ACM Symposium on Principles of Distributed Computing
VolumePart F130192

Conference

Conference7th Annual ACM Symposium on Principles of Distributed Computing, PODC 1988
Country/TerritoryCanada
CityToronto
Period15/08/8817/08/88

Funding

FundersFunder number
Applied Mathematical Sciences
IBM Research Division
U.S. Department of EnergyDE-AC02 76ERO3077
Office of Energy Research and Development

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