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From unweighted to weighted generalized Farey organized tree and the pyramid networks

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Abstract

Generalized Farey tree network (GFTN) and generalized Farey organized pyramid network (GFOPN) model are proposed, and their topological characteristics are studied by both theoretical analysis and numerical simulations, which are in good accordance with each other. Then weighted GFTN is studied using cumulative distributions of its Farey number value, edge weight, and node strength. These results maybe helpful for future theoretical development of hybrid models.

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Authors and Affiliations

  1. China Institute of Atomic Energy, Beijing, 102413, China

    Yong Li, Jinqing Fang & Qiang Liu

Authors
  1. Yong Li
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  2. Jinqing Fang
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  3. Qiang Liu
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Corresponding author

Correspondence to Yong Li.

Additional information

This research is supported by the Nature Science Foundation of China under Grand Nos. 70431002, 60874087, 60773120, and 10647001 and the Nature Science Foundation of Beijing under Grand No. 4092040.

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Li, Y., Fang, J. & Liu, Q. From unweighted to weighted generalized Farey organized tree and the pyramid networks. J Syst Sci Complex 23, 681–700 (2010). https://doi.org/10.1007/s11424-010-9166-6

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  • DOI: https://doi.org/10.1007/s11424-010-9166-6

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