Near-tight lower bound on the time complexity of distributed MST construction

David Peleg, Vitaly Rubinovich

Research output: Contribution to journalConference articlepeer-review

52 Scopus citations

Abstract

This paper presents a lower bound of qq (D + √n) on the time required for the distributed construction of a minimum-weight spanning tree (MST) in n-vertex networks of diameter D = Ω(log n), in the bounded message model. This establishes the asymptotic near-optimality of existing time-efficient distributed algorithms for the problem, whose complexity is O(D + √n log* n).

Original languageEnglish
Pages (from-to)253-261
Number of pages9
JournalAnnual Symposium on Foundations of Computer Science - Proceedings
StatePublished - 1999
Externally publishedYes
EventProceedings of the 1999 IEEE 40th Annual Conference on Foundations of Computer Science - New York, NY, USA
Duration: 17 Oct 199919 Oct 1999

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