统一混合网络理论模型引入4个混合比,对复杂网络相关的随机性、确定性、变速增长进行调控,这样更符合随机性与确定性统一的现实世界网络。总结了复杂网络的3种类型熵:Boltzmann-Gibbs熵、非广延熵Sq和开放网络的熵与混合比之间的关系。熵从本质上揭示了网络的熵变与无标度网络的幂律指数之间的函数关系,阐明了复杂网络的演化机制及复杂性变化的特点。
Four hybrid ratios are introduced into the unified hybrid network model. They are more in line with the randomness, the uncertainty and the variable growing in the real world network. This paper discusses three types of entropy of complex networks:the Boltzmann-Gibbs entropy (BGS), the extensive entropy Sq, and the open network entropy, as well as the relationship between the entropy and the hybrid ratios. From the essence of entropy, the function expression between the changing entropy of the network and the power-law of the scale-free network is revealed. Also the characteristics of the evolution mechanism and the complexity of the network are expounded.
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