Cart (Loading....) | Create Account
Close category search window

On general models of complex networks with some applications

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$31 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

2 Author(s)
Wenjun Xiao ; Sch. of Software Eng., South China Univ. of Technol., Guangzhou, China ; Limin Peng

Barabasi and Albert find that many large networks exhibit a scale-free power-law distribution of vertex degrees. We show that when vertex degrees of large networks follow a scale-free power-law distribution with the exponent gamma ges 2, the number of degree-1 vertices, when nonzero, is of the same order as the network size N and that the average degree is of order less than log N. Furthermore, let nk be the number of degree-k vertices. In this paper we prove that n1 must be divisible by the least common multiple of kgamma 1, kgamma 2,..., kgamma l, where 1 = k1 < k2 <...> kl is the degree sequence of the network. Then we construct a general model of networks of scale-free and obtain some detail properties on scale-free and small-world networks. Our method has the benefit of relying on conditions that are static and easily verified. They are verified by many experimental results of diverse real networks and have comprehensive applications to social, natural and synthetic systems.

Published in:

Web Society, 2009. SWS '09. 1st IEEE Symposium on

Date of Conference:

23-24 Aug. 2009

Need Help?

IEEE Advancing Technology for Humanity About IEEE Xplore | Contact | Help | Terms of Use | Nondiscrimination Policy | Site Map | Privacy & Opting Out of Cookies

A not-for-profit organization, IEEE is the world's largest professional association for the advancement of technology.
© Copyright 2014 IEEE - All rights reserved. Use of this web site signifies your agreement to the terms and conditions.