Vertex-degree sequences in complex networks: New characteristics and applications

Many complex networks exhibit a scale-free vertex-degree distribution in a power-law form ck−γ, where k is the vertex-degree variable and c and γ are constants. To better understand the mechanism of power-law formation in real-world networks, it is effective to explore and analyze their vertex-degre...

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Bibliographic Details
Published in:Physica A 2015-11, Vol.437, p.437-441
Main Authors: Xiao, Wenjun, Lin, Longxin, Chen, Guanrong
Format: Article
Language:English
Subjects:
Complex network
Exponential distribution
Power-law distribution
Vertex-degree sequence
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Summary:Many complex networks exhibit a scale-free vertex-degree distribution in a power-law form ck−γ, where k is the vertex-degree variable and c and γ are constants. To better understand the mechanism of power-law formation in real-world networks, it is effective to explore and analyze their vertex-degree sequences. We had shown before that, for a scale-free network of size N, if its vertex-degree sequence is k1
ISSN:0378-4371
1873-2119
DOI:10.1016/j.physa.2015.05.012