Characterizing vertex-degree sequences in scale-free networks

Wenjun Xiao, Yanxia Liu and Guanrong Chen

Physica A: Statistical Mechanics and its Applications, 2014, vol. 404, issue C, 291-295

Abstract: Many large-scale complex networks exhibit a scale-free vertex-degree distribution in a power-law form. To better understand the mechanism of power-law formation in real-world networks, we explore and analyze the underlying mechanism based on the vertex-degree sequences of such networks. We show that for a scale-free network of size N, if its vertex-degree sequence is k11, then the length l of the vertex-degree sequence is of order logN. We verify this conclusion by a co-authorship network and some other real networks in various areas.

Keywords: Complex network; Scale-free network; Power-law distribution; Vertex-degree sequence (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:404:y:2014:i:c:p:291-295

DOI: 10.1016/j.physa.2014.02.036

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