Everett Martin G, Valente Thomas W
Mitchell Centre for Social Network Analysis, School of Social Sciences, The University of Manchester, Manchester, UK.
Institute for Prevention Research, Department of Preventive Medicine, Keck School of Medicine, University of Southern California, Los Angeles, CA, USA.
Soc Networks. 2016 Jan;44:202-208. doi: 10.1016/j.socnet.2015.09.001. Epub 2015 Nov 1.
Valente and Fujimoto (2010) proposed a measure of brokerage in networks based on Granovetter's classic work on the strength of weak ties. Their paper identified the need for finding node-based measures of brokerage that consider the entire network structure, not just a node's local environment. The measures they propose, aggregating the average change in cohesion for a node's links, has several limitations. In this paper we review their method and show how the idea can be modified by using betweenness centrality as an underpinning concept. We explore the properties of the new method and provide point, normalized, and network level variations. This new approach has two advantages, first it provides a more robust means to normalize the measure to control for network size, and second, the modified measure is computationally less demanding making it applicable to larger networks.
瓦伦特和藤本（2010年）基于格兰诺维特关于弱关系强度的经典著作，提出了一种网络中介作用的衡量方法。他们的论文指出，需要找到基于节点的中介作用衡量方法，这种方法要考虑整个网络结构，而不仅仅是节点的局部环境。他们提出的衡量方法，即汇总节点链接凝聚力的平均变化，存在几个局限性。在本文中，我们回顾了他们的方法，并展示了如何通过使用中介中心性作为支撑概念来修改这一想法。我们探讨了新方法的特性，并提供了点层面、标准化层面和网络层面的变体。这种新方法有两个优点，首先，它提供了一种更稳健的方法来对衡量方法进行标准化，以控制网络规模；其次，修改后的衡量方法对计算的要求较低，使其适用于更大的网络。
