Minimum-weight spanning tree construction in O(log log n) communication rounds

Zvi Lotker; Boaz Patt-Shamir; Elan Pavlov; David Peleg

doi:10.1137/S0097539704441848

Minimum-weight spanning tree construction in O(log log n) communication rounds

Zvi Lotker, Boaz Patt-Shamir, Elan Pavlov, David Peleg

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

100 Scopus citations

Abstract

We consider a simple model for overlay networks, where all n processes are connected to all other processes, and each message contains at most O(log n) bits. For this model, we present a distributed algorithm which constructs a minimum-weight spanning tree in O(log log n) communication rounds, where in each round any process can send a message to every other process. If message size is Θ(n^e) for some ε > 0, then the number of communication rounds is O(log 1/ε).

Original language	English
Pages (from-to)	120-131
Number of pages	12
Journal	SIAM Journal on Computing
Volume	35
Issue number	1
DOIs	https://doi.org/10.1137/S0097539704441848
State	Published - 7 Mar 2006
Externally published	Yes

Keywords

Distributed algorithms
Minimum-weight spanning tree

ASJC Scopus subject areas

General Computer Science
General Mathematics

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10.1137/S0097539704441848

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abstract = "We consider a simple model for overlay networks, where all n processes are connected to all other processes, and each message contains at most O(log n) bits. For this model, we present a distributed algorithm which constructs a minimum-weight spanning tree in O(log log n) communication rounds, where in each round any process can send a message to every other process. If message size is Θ(ne) for some ε > 0, then the number of communication rounds is O(log 1/ε).",

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Minimum-weight spanning tree construction in O(log log n) communication rounds

Abstract

Keywords

ASJC Scopus subject areas

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