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Toward A Harmonious Unifying Hybrid Model For Any Evolving Complex Networks

Author

Listed:
  • JINQING FANG

    (China Institute of Atomic Energy, P. O. Box 275-81, Beijing 102413, China)

  • QIAO BI

    (China Institute of Atomic Energy, P. O. Box 275-81, Beijing 102413, China)

  • YONG LI

    (China Institute of Atomic Energy, P. O. Box 275-81, Beijing 102413, China)

  • XIN-BIAO LU

    (China Institute of Atomic Energy, P. O. Box 275-81, Beijing 102413, China)

  • QIANG LIU

    (China Institute of Atomic Energy, P. O. Box 275-81, Beijing 102413, China)

Abstract

The current interest in complex networks is a part of a broader movement towards research on complex systems. Motivation of this work raises the two challenging questions: (i) Are real networks fundamentally random preferential attached without any deterministic attachment for both un-weighted and weighted networks? (ii) Is there a coherent physical idea and model for unifying the study of the formation mechanism of complex networks? To answer these questions, we propose a harmonious unifying hybrid preferential model (HUHPM) to a certain class of complex networks, which is controlled by a hybrid ratio,d/r, and study their behavior both numerically and analytically. As typical examples, we apply the concepts and method of the HUHPM to un-weighted scale-free networks proposed by Barabasi and Albert (BA), weighted evolving networks proposed by Barras, Bartholomew and Vespignani (BBV), and the traffic driven evolution (TDE) networks proposed by Wanget al., to get the so-called HUHPM-BA, HUHPM-BBV and HUHPM-TDE networks. All the findings of topological properties in the above three typical HUHPM networks give certain universal meaningful results which reveal some essential hybrid mechanisms for the formation of nontrivial scale-free and small-world networks.

Suggested Citation

  • Jinqing Fang & Qiao Bi & Yong Li & Xin-Biao Lu & Qiang Liu, 2007. "Toward A Harmonious Unifying Hybrid Model For Any Evolving Complex Networks," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 10(02), pages 117-141.
  • Handle: RePEc:wsi:acsxxx:v:10:y:2007:i:02:n:s0219525907001045
    DOI: 10.1142/S0219525907001045
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