Poor–rich demarcation of Matthew effect on scale-free systems and its application

doi:10.1088/1674-1056/20/4/040205

Abstract In a scale-free network, only a minority of nodes are connected very often, while the majority of nodes are connected rarely. However, what is the ratio of minority nodes to majority nodes resulting from the Matthew effect? In this paper, based on a simple preferential random model, the poor-rich demarcation points are found to vary in a limited range, and form a poor-rich demarcation interval that approximates to k/m ∈ [3,4]. As a result, the (cumulative) degree distribution of a scale-free network can be divided into three intervals: the poor interval, the demarcation interval and the rich interval. The inequality of the degree distribution in each interval is measured. Finally, the Matthew effect is applied to the ABC analysis of project management.

Keywords: Matthew effect scale-free networks poor--rich demarcation project management

Received: 22 April 2010
Revised: 01 December 2010
Accepted manuscript online:

PACS:	02.50.-r	(Probability theory, stochastic processes, and statistics)
	05.65.+b	(Self-organized systems)
	89.75.Fb	(Structures and organization in complex systems)

Fund: Project supported by the "Shu Guang" Project of Shanghai Municipal Education Commission, China (Grant No. 09SG17), and EU ELINK–East–West Link for Innovation, Networking and Knowledge Exchange (Grant No. 149674-EM-1-2008-1-UK-ERAMUNDUS).

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Yan Dong(闫栋), Dong Ming(董明), Abdelaziz Bouras, and Yu Sui-Ran(于随然) Poor–rich demarcation of Matthew effect on scale-free systems and its application 2011 Chin. Phys. B 20 040205

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