Eur. Phys. J. B 79, 29-33 (2011)
https://doi.org/10.1140/epjb/e2010-10230-x

Network model of deviation from power-law distribution in complex network

¹ Complexity Science Center, Institute of Particle Physics, Hua-Zhong (Central China) Normal University, 430079, Wuhan, P.R. China
² Institut Supérieur des Matériaux et Mécaniques Avancés, 44, Avenue F.A. Bartholdi, 72000 Le Mans, France
³ LPEC, Faculté des Sciences et Techniques, Université du Maine, Ave. O. Messiaen, 72035 Le Mans, France
⁴ College of Information Science and Engineering, Huajiao University, 362021, Quanzhou, P.R. China

Corresponding author: ^a jiangj2007010209@gmail.com

Received: 17 March 2010
Revised: 13 October 2010
Published online: 21 December 2010

Abstract

Deviation from simple power law is widely observed in complex networks. We introduce a model including possible mechanisms leading to the deviation. In this model, probabilistic addition of nodes and links, as well as rewiring of links are considered. Using master equation, through theoretical calculation and numerical simulation, double power laws with one variable and one constant exponent are obtained.