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Eigenvector-like measures of centrality for asymmetric relations

Social NetworksPublished 1 July 2001
Phillip Bonacich, Paulette Lloyd
Citations1,121
SJR quartileQ1
SJR score1.17
SNIP1.50

TL;DR

An alternative measure of centrality is suggested that equals an eigenvector when eigenvectors can be used and provides meaningfully comparable results when they cannot.

Abstract

Eigenvectors of adjacency matrices are useful as measures of centrality or of status. However, they are misapplied to asymmetric networks in which some positions are unchosen. For these networks, an alternative measure of centrality is suggested that equals an eigenvector when eigenvectors can be used and provides meaningfully comparable results when they cannot.

Keywords

Social SciencesPhysics and Astronomy