Authors: XiaoHuan Wu JinFu Zhu WeiWei Wu Wei Ge
Publish Date: 2013/05/21
Volume: 56, Issue: 9, Pages: 1619-1626
Abstract
Most of existing works on complex network assumed that the nodes and edges were uncapacitated during the evolving process and displayed “rich club” phenomenon Here we will show that the “rich club” could be changed to “common rich” if we consider the node capacity In this paper we define the node and edge attractive index with node capacity and propose a new evolving model on the base of BBV model with evolving simulations of the networks In the new model an entering node is linked with an existing node according to the preferential attachment mechanism defined with the attractive index of the existing node We give the theoretical approximation and simulation solutions If node capacity is finite the rich node may not be richer further when the node strength approaches or gets to the node capacity This is confirmed by analyzing the passenger traffic and routes of Chinese main airports Due to node strength being function of time t we can use the theoretical approximation solution to forecast how node strength changes and the time when node strength reaches its maximum value
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