Closeness centrality via the Condorcet principle

IF 2.9 2区社会学 Q1 ANTHROPOLOGY

Social Networks Pub Date : 2023-07-01 DOI:10.1016/j.socnet.2023.01.005

Oskar Skibski

引用次数: 3

Abstract

We provide a characterization of closeness centrality in the class of distance-based centralities. To this end, we introduce a natural property, called majority comparison, that states that out of two adjacent nodes the one closer to more nodes is more central. We prove that any distance-based centrality that satisfies this property gives the same ranking in every graph as closeness centrality. The axiom is inspired by the interpretation of the graph as an election in which nodes are both voters and candidates and their preferences are determined by the distances to the other nodes.

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通过孔多塞原理的接近中心性

我们在一类基于距离的中心性中提供了接近中心性的特征。为此，我们引入了一种称为多数比较的自然性质，即在两个相邻节点中，离更多节点更近的节点更为中心。我们证明了任何满足这一性质的基于距离的中心性在每个图中都给出了与贴近度中心性相同的排序。该公理的灵感来自于将图解释为一种选举，其中节点既是选民又是候选人，他们的偏好由与其他节点的距离决定。

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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来源期刊

Social Networks Multiple-

CiteScore

5.90

自引率

12.90%

发文量

118

期刊介绍： Social Networks is an interdisciplinary and international quarterly. It provides a common forum for representatives of anthropology, sociology, history, social psychology, political science, human geography, biology, economics, communications science and other disciplines who share an interest in the study of the empirical structure of social relations and associations that may be expressed in network form. It publishes both theoretical and substantive papers. Critical reviews of major theoretical or methodological approaches using the notion of networks in the analysis of social behaviour are also included, as are reviews of recent books dealing with social networks and social structure.