A universal index for measuring network interconnectedness

Bin Chen, Yiqun Zhao
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Abstract

Traditionally, there were many indexes proposed for network interconnectedness measurement. But they were actually abused. These indexes were either for connected networks or for unconnected networks. There is still no index suitable for both connected networks and unconnected networks. To solve the problem, a new index is constructed for interconnectedness measurement by synthesizing the average shortest path length and the average number of disconnected node pairs. And the theory how to construct it and why it is correct is illustrated systematically. At last, a case is adopted to test and verify the validity of the proposed index.
一种衡量网络连通性的通用指标
传统的网络连通性度量指标有很多。但他们实际上受到了虐待。这些索引既适用于已连接的网络,也适用于未连接的网络。目前还没有同时适用于已连接网络和未连接网络的索引。为了解决这一问题,通过综合平均最短路径长度和平均断开节点对数,构造了一个新的互连度度量指标。并系统地阐述了该理论如何构建及其正确性。最后,通过实例验证了所提指标的有效性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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