Exact communication costs for consensus and leader in a tree

Yefim Dinitz; Shlomo Moran; Sergio Rajsbaum

doi:10.1016/S1570-8667(03)00024-8

Exact communication costs for consensus and leader in a tree

Yefim Dinitz
, Shlomo Moran
, Sergio Rajsbaum

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

We continue the study of communication costs of Consensus and Leader initiated in a previous paper. We deal with all scenarios with linear complexity in a tree topology, and prove exact (as opposed to asymptotic) tight bounds for the bit and message complexities. A particular scenario depends on whether the tree size or the size parity is known to the processors.

Original language	English
Pages (from-to)	167-183
Number of pages	17
Journal	Journal of Discrete Algorithms
Volume	1
Issue number	2
DOIs	https://doi.org/10.1016/S1570-8667(03)00024-8
State	Published - 1 Jan 2003

Keywords

BSP model
Broadcast
H-PRAM
Lower bounds
Parallel computing

ASJC Scopus subject areas

Theoretical Computer Science
Discrete Mathematics and Combinatorics
Computational Theory and Mathematics

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10.1016/S1570-8667(03)00024-8

Cite this

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AB - We continue the study of communication costs of Consensus and Leader initiated in a previous paper. We deal with all scenarios with linear complexity in a tree topology, and prove exact (as opposed to asymptotic) tight bounds for the bit and message complexities. A particular scenario depends on whether the tree size or the size parity is known to the processors.

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KW - Broadcast

KW - H-PRAM

KW - Lower bounds

KW - Parallel computing

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Exact communication costs for consensus and leader in a tree

Abstract

Keywords

ASJC Scopus subject areas

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