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基于耦合系数的无标度网络建模

Research on Scale-free Network Model Based on Coupling Coefficients

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【作者】 郑梅容刘玉华许凯华代文文

【Author】 ZHENG Mei-rong1 LIU Yu-hua1 XU Kai-hua2 DAI Wen-wen1(Department of Computer Science,Huazhong Normal University,Wuhan 430079,China)1(College of Physical Science and Technology,Huazhong Normal University,Wuhan 430079,China)2

【机构】 华中师范大学计算机科学系华中师范大学物理科学与技术学院

【摘要】 经典的无标度网络模型在全局范围内按照一定的概率选取节点进行优先连接,而现实网络很难做到这一点。为了解决这一问题,在BA无标度网络模型的基础上,通过新增两个参数耦合系数和吸引因子来构建基于耦合系数的无标度网络模型,并通过理论计算得出该演化模型的度分布。分析发现,它具有更明显的无标度网络特性。实验仿真结果也表明,其度分布在服从幂律分布的基础上更具有平稳性和广泛的适用性。

【Abstract】 The classic model of scale-free networks selects some nodes in a certain probability in the global scope,and then it will establish a fixed connection in priority among them,but as we know that it is difficult to do this in reality.To solve this problem,the paper established a model based on the scale-free network by introducing the coupling coefficients and attracting factor in the BA scale-free network,and gave the degree distribution of the evolved model by the theoretical analysis.The analysis proves that this model has a more obvious features of a scale-free network.The simulation results also show that the degree distribution based on a power-law distribution has a better stability and a wider range of applicability.

【基金】 华中师范大学中央高校基本业务费专项资金项目资助
  • 【文献出处】 计算机科学 ,Computer Science , 编辑部邮箱 ,2012年05期
  • 【分类号】O157.5
  • 【被引频次】9
  • 【下载频次】134
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