An ensemble approach to the analysis of weighted networks

Details An ensemble approach to the analysis of weighted networks An ensemble approach to the analysis of weighted networks

2006-04-18

arxiv.org/abs/cond-mat/0604409v2

Phys. Rev. E 76, 016101 (2007)

Physics

Condensed Matter

Statistical Mechanics

4 pages 3 figures

Scientific paper

10.1103/PhysRevE.76.016101

We present a new approach to the calculation of measures in weighted networks, based on the translation of a weighted network into an ensemble of edges. This leads to a straightforward generalization of any measure defined on unweighted networks, such as the average degree of the nearest neighbours, the clustering coefficient, the `betweenness', the distance between two nodes and the diameter of a network. All these measures are well established for unweighted networks but have hitherto proven difficult to define for weighted networks. Further to introducing this approach we demonstrate its advantages by applying the clustering coefficient constructed in this way to two real-world weighted networks.

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