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

作　　者：闫栋 董明 Abdelaziz Bourasc 于随然 

机构地区：[1]School of Mechanical Engineering,Shanghai Jiao Tong University [2]College of Economics & Management,Shanghai Jiao Tong University [3]IUT Lumière Technology Institute,Université Lumière Lyon 2

出　　处：《Chinese Physics B》2011年第4期27-32,共6页中国物理B（英文版）

基　　金：supported by the "Shu Guang" Project of Shanghai Municipal Education Commission,China (Grant No. 09SG17);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 E [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.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 E [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 

分 类 号：O157.5[理学—数学]