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Three vertex degree correlations of fixed act-size collaboration networks
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  • 分类:TQ116.3[化学工程—无机化工] TP18[自动化与计算机技术—控制科学与工程;自动化与计算机技术—控制理论与控制工程]
  • 作者机构:[1]School of Mathematics, Central South University, Changsha 410075, China, [2]College of Electrical and Information Engineering, Hunan University of Technology, Zhuzhou 412008, China, [3]School of Mathematics and Statistics, Chongqing University of Arts and Sciences, Chongqing 402160, China
  • 相关基金:Project(20090162110058) supported by the Research Fund for the Doctoral Program of Higher Education of China; Project(KJ 101210) supported by the Foundation of Chongqing Municipal Education Committee, China; Project(2009GK3010) supported by the Hunan Science & Technology Foundation, China
中文摘要:

一条率方程途径为固定行为尺寸合作网络的三顶点度关联的准确计算被介绍。三顶点度关联的大小为度 k 的顶点的最近的邻居的平均的度在连续的度和时间近似基于一个率方程,与一个适当边界条件。建议的率方程能在更复杂的成长网络模型被概括,并且也延长了处理相关关联大小。最后,以便检查理论预言,一个数字例子被解决表明度关联功能的表演。

英文摘要:

A rate equation approach was presented for the exact computation of the three vertex degree correlations of the fixed act-size collaboration networks. Measurements of the three vertex degree correlations were based on a rate equation in the continuous degree and time approximation for the average degree of the nearest neighbors of vertices of degree k, with an appropriate boundary condition. The rate equation proposed can be generalized in more sophisticated growing network models, and also extended to deal with related correlation measurements. Finally, in order to check the theoretical prediction, a numerical example was solved to demonstrate the performance of the degree correlation function.

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