A local-world network model based on inter-node correlation degree

Qi Xuan, Yanjun Li and Tie-Jun Wu

Physica A: Statistical Mechanics and its Applications, 2007, vol. 378, issue 2, 561-572

Abstract: A new local-world model is proposed in this paper to improve and extend the descriptive ability of the first geometrical local-world network model, i.e., the Gardeñes–Moreno (GM) model. A concept of correlation degree between nodes is introduced into the proposed model to build a local world of each node in a network. In consideration of the facts that each node has only a limited ability of information recognition and processing, and the improvement speed of this ability is normally far slower than the growth speed of a network, the local-world size is set limited and unchanged while the network grows. A series of theoretical analysis and numerical simulation are conducted in this paper, the results show that the correlation degrees follow a power-law distribution, and the proposed model can describe the small-world, scale-free, self-similarity and clustering properties for more comprehensive kinds of complex networks than the GM model and other existing local-world network models. The modelling and analysis of a supply chain system is discussed in this paper as a real-world example of our model.

Keywords: Complex network; Local-world model; Correlation degree; Self-similarity; Supply chain system (search for similar items in EconPapers)
Date: 2007
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S037843710601315X
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

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:eee:phsmap:v:378:y:2007:i:2:p:561-572

DOI: 10.1016/j.physa.2006.11.070

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().