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Exploring the Map Equation: Community Structure Detection in Unweighted, Undirected Networks

  • Rodica Ioana Lung
  • Mihai-Alexandru Suciu
  • Noémi Gaskó
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 837)

Abstract

The map equation is one of the most efficient methods of evaluating a possible community structure of a network, computed by using Shanon’s entropy and probabilities that a random walker would exit a community or would wonder inside it. Infomap, the method that optimizes the map equation to reveal community structures, is one of the most efficient computational approach to this problem when dealing with weighted, directed or hierarchical networks. However, for some unweighted and undirected networks, Infomap fails completely to uncover any structure. In this paper we propose an alternate way of computing probabilities used by the map equation by adding information about 3-cliques corresponding to links in order to enhance the behavior of Infomap in unweighted networks. Numerical experiments performed on standard benchmarks show the potential of the approach.

Keywords

Community structure Social networks Unweighted graphs Infomap 

Notes

Acknowledgments

This work was supported by a grant of the Romanian National Authority for Scientific Research and Innovation, CNCS - UEFISCDI, project number PN-II-RU-TE-2014-4-2332.

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Rodica Ioana Lung
    • 1
  • Mihai-Alexandru Suciu
    • 1
  • Noémi Gaskó
    • 1
  1. 1.Center for the Study of ComplexityBabeş-Bolyai UniversityCluj-NapocaRomania

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