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Comparison of communities detection algorithms for multiplex

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  • Loe, Chuan Wen
  • Jensen, Henrik Jeldtoft

Abstract

Multiplex is a set of graphs on the same vertex set, i.e. {G(V,E1),…,G(V,Em)}. It is a type of generalized graph to model the multiple relationships in a system with parallel edges between vertices. An important application in Network Science is to capture community structures in multiplex as a way to modularize the system. This paper is a literature review and comparative analysis on the existing communities detection algorithms for multiplex. The conclusion is that many of the algorithms deviate in the concept of multi-relational communities and the wrong choice of algorithm can deviate one from his intended concept.

Suggested Citation

  • Loe, Chuan Wen & Jensen, Henrik Jeldtoft, 2015. "Comparison of communities detection algorithms for multiplex," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 431(C), pages 29-45.
    • Handle: RePEc:eee:phsmap:v:431:y:2015:i:c:p:29-45
    DOI: 10.1016/j.physa.2015.02.089
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    References listed on IDEAS

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    1. John Skvoretz & Filip Agneessens, 2007. "Reciprocity, Multiplexity, and Exchange: Measures," Quality & Quantity: International Journal of Methodology, Springer, vol. 41(3), pages 341-357, June.
    2. LeBlanc, Larry J., 1988. "Transit system network design," Transportation Research Part B: Methodological, Elsevier, vol. 22(5), pages 383-390, October.
    3. Lawrence Hubert & Phipps Arabie, 1985. "Comparing partitions," Journal of Classification, Springer;The Classification Society, vol. 2(1), pages 193-218, December.
    4. Rodriguez, Marko A. & Shinavier, Joshua, 2010. "Exposing multi-relational networks to single-relational network analysis algorithms," Journal of Informetrics, Elsevier, vol. 4(1), pages 29-41.
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    Cited by:

    1. Chengyun Song & Weiyi Liu & Zhining Liu & Xiaoyang Liu, 2019. "User abnormal behavior recommendation via multilayer network," PLOS ONE, Public Library of Science, vol. 14(12), pages 1-17, December.
    2. Abdolhosseini-Qomi, Amir Mahdi & Yazdani, Naser & Asadpour, Masoud, 2020. "Overlapping communities and the prediction of missing links in multiplex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 554(C).

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    Keywords

    Multiplex; Communities detection;

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