Efficient exact and approximate algorithms for computing betweenness centrality in directed graphs

Mostafa Haghir Chehreghani, Albert Bifet, Talel Abdessalem

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

In this paper, first given a directed network G and a vertex r∈ V(G), we propose a new exact algorithm to compute betweenness score of r. Our algorithm pre-computes a set RF(r), which is used to prune a huge amount of computations that do not contribute in the betweenness score of r. Then, for the cases where RF(r) is large, we present a randomized algorithm that samples from RF(r) and performs computations for only the sampled elements. We show that this algorithm provides an (ϵ, δ) -approximation of the betweenness score of r. Finally, we empirically evaluate our algorithms and show that they significantly outperform the most efficient existing algorithms, in terms of both running time and accuracy. Our experiments also show that our proposed algorithms can effectively compute betweenness scores of all vertices in a set of vertices.

Original languageEnglish
Title of host publicationAdvances in Knowledge Discovery and Data Mining - 22nd Pacific-Asia Conference, PAKDD 2018, Proceedings
EditorsGeoffrey I. Webb, Dinh Phung, Mohadeseh Ganji, Lida Rashidi, Vincent S. Tseng, Bao Ho
PublisherSpringer Verlag
Pages752-764
Number of pages13
ISBN (Print)9783319930398
DOIs
Publication statusPublished - 1 Jan 2018
Externally publishedYes
Event22nd Pacific-Asia Conference on Advances in Knowledge Discovery and Data Mining, PAKDD 2018 - Melbourne, Australia
Duration: 3 Jun 20186 Jun 2018

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume10939 LNAI
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference22nd Pacific-Asia Conference on Advances in Knowledge Discovery and Data Mining, PAKDD 2018
Country/TerritoryAustralia
CityMelbourne
Period3/06/186/06/18

Keywords

  • Approximate algorithm
  • Betweenness centrality
  • Directed graphs
  • Exact algorithm

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