Kleinberg's Centrality


Definition


See HITS - Hypertext Induced Topic Selection

Kleinberg's hub and authority scores.
The authority scores of the vertices are defined as the principal eigenvector of t(A)*A, where A is the adjacency matrix of the graph.
The hub scores of the vertices are defined as the principal eigenvector of A*t(A), where A is the adjacency matrix of the graph.
Obviously, for undirected matrices the adjacency matrix is symmetric and the two scores are the same.
[CSARDI, G. 2006]

Requirements

Require connected and loop free network.

Software

References

  • CSARDI, G. & NEPUSZ, T. 2006. The igraph software package for complex network research. InterJournal, Complex Systems, 1695. [http://igraph.org]
  • KLEINBERG, J. M. 1999. Authoritative sources in a hyperlinked environment. Journal of the ACM (JACM), 46, 604-632.