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Keywords = harmonious unifying hybrid preferential model

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Article
Entropy Characteristic on Harmonious Unifying Hybrid Preferential Networks
by Yong Li, Jin-Qing Fang, Qiao Bi and Qiang Liu
Entropy 2007, 9(2), 73-82; https://doi.org/10.3390/e9020073 - 21 May 2007
Cited by 6 | Viewed by 7461
Abstract
Based on the harmonious unifying hybrid preferential model (HUHPM) networkproposed by our group, the entropy characteristic of an un-weighted HUHPM-BA networkand a weighted HUHPM-BBV network are investigated as the total hybrid ratio d/r ischanged. We derive and compute the general relation of the [...] Read more.
Based on the harmonious unifying hybrid preferential model (HUHPM) networkproposed by our group, the entropy characteristic of an un-weighted HUHPM-BA networkand a weighted HUHPM-BBV network are investigated as the total hybrid ratio d/r ischanged. We derive and compute the general relation of the power exponent of the degreedistribution with the entropy by using the Boltzmann-Gibbs entropy (BGS) and the Tsallisnon-extensive entropy (Sq). It is found that the BGS decreases as d/r increases and thecurrent of the BGS along with hybrid ratio d/r or exponent γ of power-law is in agreementbetween numerical simulation and theoretical analysis. The relationship between the Sq andcharacteristic parameter q under different d/r is also given. And the Sq approaches to theBGS when q → 1. These results can provide a better understanding for evolutioncharacteristic in growing complex networks and further applications in networkengineering are of prospective potential. Full article
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