Vertex similarity in networks

Details Vertex similarity in networks Vertex similarity in networks

2005-10-14

arxiv.org/abs/physics/0510143v1

Phys. Rev. E 73, 026120 (2006)

Physics

Physics and Society

Scientific paper

10.1103/PhysRevE.73.026120

We consider methods for quantifying the similarity of vertices in networks. We propose a measure of similarity based on the concept that two vertices are similar if their immediate neighbors in the network are themselves similar. This leads to a self-consistent matrix formulation of similarity that can be evaluated iteratively using only a knowledge of the adjacency matrix of the network. We test our similarity measure on computer-generated networks for which the expected results are known, and on a number of real-world networks.

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