The modeling of scale-free networks

Qinghua Chen and Dinghua Shi

Physica A: Statistical Mechanics and its Applications, 2004, vol. 335, issue 1, 240-248

Abstract: In order to explore further the mechanism responsible for scale-free networks, we introduce two extended models of the BA model. The model A, where the system incorporates the addition of new links between existing nodes, a new node with new links and the rewiring of some links at every time step, all sites are born with some initial attractiveness. We calculate analytically the degree distribution. The system self-organizes into a scale-free network, the scaling exponent γ>2. The model B is a new model; we consider that some old links are deleted with the anti-preferential probability. The result indicates that the system evolves itself into a scale-free network, the scaling exponent γ varies from 2 to 3.

Keywords: Scale-free networks; Degree distribution; Scaling exponent (search for similar items in EconPapers)
Date: 2004
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (6)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437103011257
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:335:y:2004:i:1:p:240-248

DOI: 10.1016/j.physa.2003.12.014

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 ().