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Structure of cycles and local ordering in complex networks

Author

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  • G. Caldarelli
  • R. Pastor-Satorras
  • A. Vespignani

Abstract

We study the properties of quantities aimed at the characterization of grid-like ordering in complex networks. These quantities are based on the global and local behavior of cycles of order four, which are the minimal structures able to identify rectangular clustering. The analysis of data from real networks reveals the ubiquitous presence of a statistically high level of grid-like ordering that is non-trivially correlated with the local degree properties. These observations provide new insights on the hierarchical structure of complex networks. Copyright Springer-Verlag Berlin/Heidelberg 2004

Suggested Citation

  • G. Caldarelli & R. Pastor-Satorras & A. Vespignani, 2004. "Structure of cycles and local ordering in complex networks," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 38(2), pages 183-186, March.
    • Handle: RePEc:spr:eurphb:v:38:y:2004:i:2:p:183-186
    DOI: 10.1140/epjb/e2004-00020-6
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    Cited by:

    1. Lawford, Steve & Mehmeti, Yll, 2020. "Cliques and a new measure of clustering: With application to U.S. domestic airlines," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 560(C).
    2. Peyrard, N. & Dieckmann, U. & Franc, A., 2008. "Long-range correlations improve understanding of the influence of network structure on contact dynamics," Theoretical Population Biology, Elsevier, vol. 73(3), pages 383-394.
    3. Jeong, Wonhee & Yu, Unjong, 2022. "Effects of quadrilateral clustering on complex contagion," Chaos, Solitons & Fractals, Elsevier, vol. 165(P1).
    4. repec:ctc:serie1:def14 is not listed on IDEAS
    5. Nicolò Pecora & Alessandro Spelta, 2014. "Shareholding Network in the Euro Area Banking Market," DISCE - Working Papers del Dipartimento di Economia e Finanza def014, Università Cattolica del Sacro Cuore, Dipartimenti e Istituti di Scienze Economiche (DISCE).
    6. Santini, Mateus Augusto Fassina & Faccin, Kadígia & Balestrin, Alsones & Volkmer Martins, Bibiana, 2021. "How the relational structure of universities influences research and development results," Journal of Business Research, Elsevier, vol. 125(C), pages 155-163.

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