Finding articulation points of large graphs in linear time

Martín Farach-Colton, Tsan Sheng Hsu, Meng Li, Meng Tsung Tsai

    Research output: Chapter in Book/Report/Conference proceedingConference contribution


    Given an n-node m-edge graph G, the articulation points of graph G can be found in O(m + n) time in the RAM model, through a DFS-based algorithm. In the semi-streaming model for large graphs, where memory is limited to O(n polylog n) and edges may only be accessed in one or more sequential passes, no efficient DFS algorithm is known, so another approach is needed. We show that the articulation points can be found in O(m+n) time using O(n) space and one sequential pass of the graph. The previous best algorithm in the semi-streaming model also uses O(n) space and one pass, but has running time O(mα(n)+n log n), where α denotes the inverse of Ackermann function.

    Original languageEnglish (US)
    Title of host publicationAlgorithms and Data Structures - 14th International Symposium, WADS 2015, Proceedings
    EditorsFrank Dehne, Jorg-Rudiger Sack, Ulrike Stege
    PublisherSpringer Verlag
    Number of pages10
    ISBN (Print)9783319218397
    StatePublished - 2015
    Event14th International Symposium on Algorithms and Data Structures, WADS 2015 - Victoria, Canada
    Duration: Aug 5 2015Aug 7 2015

    Publication series

    NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
    ISSN (Print)0302-9743
    ISSN (Electronic)1611-3349


    Conference14th International Symposium on Algorithms and Data Structures, WADS 2015


    • Articulation points
    • Linear time algorithm
    • Semi-streaming algorithm
    • Space lower bound

    ASJC Scopus subject areas

    • Theoretical Computer Science
    • General Computer Science


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