A centrality measure satisfies the size axiom if for every k there is a Pk such that for all p Pk in Sk;p the centrality of a node of the p-cycle is strictly larger than the centrality of a node of the k-clique, and if for every p there is a Kp such that for all k Kp in Sk;p the centrality of a node of the k-clique is ...
Aug 9, 2013 · In this paper, we try to provide a mathematically sound survey of the most important classic centrality measures known from the literature and ...
Abstract. Given a social network, which of its nodes are more central? This question has been asked many times in sociology, psychology, and computer ...
Axioms for Centrality: Internet Mathematics - Taylor & Francis Online
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In this study, we try to provide a mathematically sound survey of the most important classic centrality measures known from the literature and propose an ...
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Axiom 0.4.1.3 (Score-Monotonicity Axiom) A centrality measure sat- ... Axioms for centrality scoring with principal eigenvectors. Social choice and ...
This study tries to provide a mathematically sound survey of the most important classic centrality measures known from the literature and proposes an ...
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Feb 16, 2023 · Abstract. We perform the first axiomatic analysis of medial centrality measures. These measures, also called betweenness-like centralities, ...
We study the class of distance-based centralities that consists of centrality measures that depend solely on distances to other nodes in the graph.
First works by Bavelas at MIT (1946). This sparked countless works (Bavelas 1951; Katz 1953;. Shaw 1954; Beauchamp 1965; Mackenzie 1966; Burgess.