Journal of South China University of Technology(Natural Science) >
Analysis of Vertex-Degree Sequence Length of Complex Networks
Received date: 2016-01-07
Revised date: 2016-07-22
Online published: 2016-12-01
Supported by
Supported by the National Natural Science Foundation of China( 61170313)
In this paper,a conclusion that the length of vertex-degree sequences is of the order log2N ( N is the number of network nodes) in the complex networks exhibiting a Poisson vertex-degree distribution,is theoretically proved.Then,by the simulation experiments on the length of the vertex-degree sequences in random networks,small world networks and scale-free networks,the conclusion is also proved to be correct.Finally,this conclusion is also confirmed in real complex networks by computing the length of the vertex-degree sequences.
Key words: complex networks; vertex-degree sequences; Poisson distribution
XIONG Yun-yan XIAO Wen-jun MAO Yi-jun LAI Zheng-wen HAN Dong LI Mei-sheng . Analysis of Vertex-Degree Sequence Length of Complex Networks[J]. Journal of South China University of Technology(Natural Science), 2017 , 45(1) : 74 -79 . DOI: 10.3969/j.issn.1000-565X.2017.01.011
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