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Poor rich demarcation of Matthew effect on scale-free systems and its application
作者姓名:闫栋  董明  Abdelaziz Bouras  于随然
作者单位:School of Mechanical Engineering,Shanghai Jiao Tong University College of Economics & Management,Shanghai Jiao Tong University IUT Lumière Technology Institute,Université Lumière Lyon 2
基金项目: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).
摘    要: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.

关 键 词:Matthew  effect  scale-free  networks  poor–rich  demarcation  project  management
收稿时间:2010-04-22

Poor–rich demarcation of Matthew effect on scale-free systems and its application
Yan Dong,Dong Ming,Abdelaziz Bouras and Yu Sui-Ran.Poor rich demarcation of Matthew effect on scale-free systems and its application[J].Chinese Physics B,2011,20(4):40205-040205.
Authors:Yan Dong  Dong Ming  Abdelaziz Bouras and Yu Sui-Ran
Institution:[1]School of Mechanical Engineering, Shanghai Jiao Tong University, Shanghai 200240, China [2]College of Economics & Management, Shanghai Jiao Tong University, Shanghai 200052, China [3]IUT Lumibre Technology Institute, Universite Lumibre Lyon 2, Lyon 69007, France
Abstract:Matthew effect, scale-free networks, poor-rich demarcation, project management
Keywords:Matthew effect  scale-free networks  poor--rich demarcation  project management
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