An O(Iog(n)4/3) Space Algorithm for (s, t) Connectivity in Undirected Graphs

Roy Armoni; Amnon Ta-Shma; Avi Wigderson; Shiyu Zhou

doi:10.1145/333979.333984

An O(Iog(n)^4/3) Space Algorithm for (s, t) Connectivity in Undirected Graphs

Roy Armoni
, Amnon Ta-Shma
, Avi Wigderson
, Shiyu Zhou

The Rachel and Selim Benin School of Engineering and Computer Science

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

25 Scopus citations

Abstract

We present a deterministic algorithm that computes st-connectivity in undirected graphs using O(Iog^4/3 n) space. This improves the previous O(log^3/2 n) bound of Nisan et al. [1992].

Original language	English
Pages (from-to)	294-311
Number of pages	18
Journal	Journal of the ACM
Volume	47
Issue number	2
DOIs	https://doi.org/10.1145/333979.333984
State	Published - 2000

Keywords

Computational complexity
Derandomization
Short pseudorandom walks on graphs
Space bounded computations
Undirected graph connectivity

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10.1145/333979.333984

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title = "An O(Iog(n)4/3) Space Algorithm for (s, t) Connectivity in Undirected Graphs",

abstract = "We present a deterministic algorithm that computes st-connectivity in undirected graphs using O(Iog4/3 n) space. This improves the previous O(log3/2 n) bound of Nisan et al. [1992].",

keywords = "Computational complexity, Derandomization, Short pseudorandom walks on graphs, Space bounded computations, Undirected graph connectivity",

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AU - Zhou, Shiyu

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AB - We present a deterministic algorithm that computes st-connectivity in undirected graphs using O(Iog4/3 n) space. This improves the previous O(log3/2 n) bound of Nisan et al. [1992].

KW - Computational complexity

KW - Derandomization

KW - Short pseudorandom walks on graphs

KW - Space bounded computations

KW - Undirected graph connectivity

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An O(Iog(n)^4/3) Space Algorithm for (s, t) Connectivity in Undirected Graphs

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Keywords

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