EFFICIENT PARALLEL BICONNECTIVITY ALGORITHM.

Robert E. Tarjan, Uzi Vishkin

Research output: Contribution to journalArticlepeer-review

377 Scopus citations

Abstract

In this paper we propose a new algorithm for finding the blocks (biconnected components) of an undirected graph. A serial implementation runs in O(n plus m) time and space on a graph of n vertices and m edges. A parallel implementation runs in O(log n) time and O(n plus m) space using O(n plus m) processors on a concurrent-read, concurrent-write parallel RAM. An alternative implementation runs in O(n**2/p) time and O(n**2) space using any number p less than equivalent to n**2/log**2 n of processors, on a concurrent-read, exclusive-write parallel RAM. The last algorithm has optimal speedup, assuming an adjacency matrix representation of the input. A general algorithmic technique that simplifies and improves computation of various functions on trees is introduced.

Original languageEnglish (US)
Pages (from-to)862-874
Number of pages13
JournalSIAM Journal on Computing
Volume14
Issue number4
DOIs
StatePublished - 1985
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Computer Science(all)
  • Mathematics(all)

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