Eigenvector-like measures of centrality for asymmetric relations

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. (C) 2001 Elsevier Science B.V. All rights reserved.