Degree dependence entropy descriptor for complex networks

  • Xiang-Li Xu Xiao-Feng Hu Xiao-Yuan He
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  • Department of Information Operation and Command Training,NDU of PLA, Beijing 100091, People’s Republic of China

Received date: 2013-05-19

  Online published: 2013-07-01

Abstract

In order to supply better accordance for mod-eling and simulation of complex networks, a new degree dependence entropy (DDE) descriptor is proposed to describe the degree dependence relationship and corre-sponding characteristic in this paper. First of all, degrees of vertices and the shortest path lengths between all pairs of vertices are computed. Then the degree dependence matrices under different shortest path lengths are con-structed. At last the DDEs are extracted from the degree dependence matrices. Simulation results show that the DDE descriptor can reflect the complexity of degree dependence relationship in complex networks; high DDE indicates complex degree dependence relationship; low DDE indicates the opposite one. The DDE can be seen as a quantitative statistical characteristic, which is meaningful for networked modeling and simulation.

Cite this article

Xiang-Li Xu Xiao-Feng Hu Xiao-Yuan He . Degree dependence entropy descriptor for complex networks[J]. Advances in Manufacturing, 2013 , 1(3) : 284 -287 . DOI: DOI10.1007/s40436-013-0034-1

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