组态模型网络中的距离分布
Distance distribution in configuration model networks
摘要:
我们提出了配置模型网络中随机节点对之间的最短路径长度分布的分析结果。结果,这是基于递归方程,被证明是在良好的协议与退化,二项式和幂律度分布的网络的数值模拟。最短路径长度的分布的平均值,众数和方差也进行了评估。这些结果提供了最短路径长度分布的中心测度和分散测度的表达式,说明了两种分布之间的联系。
英文摘要:
We present analytical results for the distribution of shortest path lengths between random pairs of nodes in configuration model networks. The results, which are based on recursion equations, are shown to be in good agreement with numerical simulations for networks with degenerate, binomial and power-law degree distributions. The mean, mode and variance of the distribution of shortest path lengths are also evaluated. These results provide expressions for central measures and dispersion measures of the distribution of shortest path lengths in terms of moments of the degree distribution, illuminating the connection between the two distributions.
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