复杂网络的拓扑结构与H指数
Topological structure and the H-index in complex networks
摘要：
最近引入了$n$阶的广义$H(n)$ Hirsch指数，并证明了该指数在网络的度和$K$ -核心中心性之间插值。我们提供了一个详细的分析表征的属性具有相同的$H(n)$，退火网络近似内的节点集。赫希指数和程度之间的连接是突出的。在合成的不相关网络和现实世界的相关网络中的数值测试验证了研究结果。我们还测试了使用赫希指数识别网络中有影响力的传播者，发现它一般优于最近推出的非回溯中心性。
英文摘要：
The generalized $H(n)$ Hirsch index of order $n$ has been recently introduced and shown to interpolate between the degree and the $K$-core centrality in networks. We provide a detailed analytical characterization of the properties of sets of nodes having the same $H(n)$, within the annealed network approximation. The connection between the Hirsch indices and the degree is highlighted. Numerical tests in synthetic uncorrelated networks and real-world correlated ones validate the findings. We also test the use of the Hirsch index for the identification of influential spreaders in networks, finding that it is in general outperformed by the recently introduced Non-Backtracking centrality.
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