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Complex Networks VI pp 111–121Cite as

An Efficient Estimation of a Node’s Betweenness

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Part of the Studies in Computational Intelligence book series (SCI,volume 597)

Abstract

Betweenness Centrality measures, erstwhile popular amongst the sociologists and psychologists, have seen wide and increasing applications across several disciplines of late. In conjunction with the big data problems, there came the need to analyze large complex networks. Exact computation of a node’s betweenness is a daunting task in the networks of large size. In this paper, we propose a non-uniform sampling method to estimate the betweenness of a node. We apply our approach to estimate a node’s betweenness in several synthetic and real world graphs. We compare our method with the available techniques in the literature and show that our method fares several times better than the currently known techniques. We further show that the accuracy of our algorithm gets better with the increase in size and density of the network.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Indian Institute of Technology, Roorkee, Uttarakhand, India

    Manas Agarwal & Shubham Chaudhary

  2. Department of Computer Science and Engineering, Indian Institute of Technology, Ropar, Punjab, India

    Rishi Ranjan Singh & S. R. S. Iyengar

Authors
  1. Manas Agarwal
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  2. Rishi Ranjan Singh
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  3. Shubham Chaudhary
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  4. S. R. S. Iyengar
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Corresponding author

Correspondence to Manas Agarwal .

Editor information

Editors and Affiliations

  1. Dip. di Ingegneria Elettrica, Elettronica e Informatica, University of Catania, Catania, Italy

    Giuseppe Mangioni

  2. Dept. of Engineering Mathematics, University of Bristol, Clifton, United Kingdom

    Filippo Simini

  3. New York Hall of Science, New York, New York, USA

    Stephen Miles Uzzo

  4. College of Information Sciences and Technology, Pennsylvania State University, University Park, New York, USA

    Dashun Wang

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Agarwal, M., Singh, R.R., Chaudhary, S., Iyengar, S.R.S. (2015). An Efficient Estimation of a Node’s Betweenness. In: Mangioni, G., Simini, F., Uzzo, S., Wang, D. (eds) Complex Networks VI. Studies in Computational Intelligence, vol 597. Springer, Cham. https://doi.org/10.1007/978-3-319-16112-9_11

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  • DOI: https://doi.org/10.1007/978-3-319-16112-9_11

  • Publisher Name: Springer, Cham

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