TOWARD A HARMONIOUS UNIFYING HYBRID MODEL FOR ANY EVOLVING COMPLEX NETWORKS

Jinqing Fang (), Qiao Bi, Yong Li, Xin-Biao Lu and Qiang Liu
Additional contact information
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

Advances in Complex Systems (ACS), 2007, vol. 10, issue 02, 117-141

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.

Keywords: Network science; harmonious unifying hybrid preferential model; hybrid ratiod/r; un-weighted and weighted networks; universal properties; small-world; effects; scale-free property; sensitivity of exponent to hybrid ratio (search for similar items in EconPapers)
Date: 2007
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0219525907001045
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:acsxxx:v:10:y:2007:i:02:n:s0219525907001045

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0219525907001045

Access Statistics for this article

Advances in Complex Systems (ACS) is currently edited by Frank Schweitzer

More articles in Advances in Complex Systems (ACS) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().