Statistical properties of weighted complex networks characterized by metaweights

Shuhei Furuya and Kousuke Yakubo

Physica A: Statistical Mechanics and its Applications, 2010, vol. 389, issue 6, 1265-1272

Abstract: We propose several characterizations of weighted complex networks by incorporating the concept of metaweight into the clustering coefficient, degree correlation, and module decomposition. These incorporations make it possible to describe weighted networks depending on how strongly we emphasize weights. Using some applications to real-world weighted networks, we demonstrate that the proposed approach provides rich information that was inaccessible by previous analyses such as the degree correlation for a specific magnitude of weights or the community structure under controlling the importance of roles of the topology and weights.

Keywords: Complex network; Statistical analysis; Clustering coefficient; Degree correlation; Community structure (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:389:y:2010:i:6:p:1265-1272

DOI: 10.1016/j.physa.2009.12.001

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