ABSTRACT The H index, also known as Hirsch index, quantifies and compares the citation impact of scientific researchers. In the general context of networks, we define a node as a leader if its H index is not less than the average of the H indices of its neighbors. We show that in a randomly connected network, the proportion of leaders is almost always close to a half.

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关于随机网络中 H 指数的说明

摘要 H 指数也称为赫希指数，用于量化和比较科研人员的引用影响。在网络的一般上下文中，如果一个节点的 H 指数不小于其邻居的 H 指数的平均值，我们将其定义为领导者。我们表明，在随机连接的网络中，领导者的比例几乎总是接近一半。