Correlations among centrality indices and a class of uniquely ranked graphs
Correlations among centrality indices and a class of uniquely ranked graphs
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DOI：
10.1016/j.socnet.2017.03.010
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发表时间：
2017-07-01
期刊：
影响因子：
3.1
通讯作者：
Brandes, Ulrik
中科院分区：
文献类型：
--
作者：
Schoch, David;Valente, Thomas W.;Brandes, Ulrik
各种中心性指数已被提出来捕捉不同方面的结构重要性，但它们之间的关系在很大程度上是无法解释的。最常见的策略似乎是通过相关性对中心性指数进行成对比较。虽然中心性之间的相关性通常被解读为指数的固有属性，但我们认为它会被系统的网络结构所混淆。事实上，相关性可能更能表明网络结构，而不是指数之间的关系。这对中心效应的解释具有重大意义，因为它意味着如果网络结构接近于星星图的某种概括，则不同指数中体现的竞争性解释不能彼此分离。(C)2017 Elsevier B.V.版权所有。
Various centrality indices have been proposed to capture different aspects of structural importance but relations among them are largely unexplained. The most common strategy appears to be the pairwise comparison of centrality indices via correlation. While correlation between centralities is often read as an inherent property of the indices, we argue that it is confounded by network structure in a systematic way. In fact, correlations may be even more indicative of network structure than of relationships between indices. This has substantial implications for the interpretation of centrality effects as it implies that competing explanations embodied in different indices cannot be separated from each other if the network structure is close to a certain generalization of star graphs. (C) 2017 Elsevier B.V. All rights reserved.