Entropy Characteristic on Harmonious Unifying Hybrid Preferential Networks
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 p...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2007-05-01
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| Series: | Entropy |
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| Online Access: | http://www.mdpi.com/1099-4300/9/2/73/ |
| _version_ | 1811264043619450880 |
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| author | Qiang Liu Qiao Bi Jin-Qing Fang Yong Li |
| author_facet | Qiang Liu Qiao Bi Jin-Qing Fang Yong Li |
| author_sort | Qiang Liu |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-12T19:56:01Z |
| format | Article |
| id | doaj.art-dd01a960cbf84528adecef98030956fc |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-04-12T19:56:01Z |
| publishDate | 2007-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-dd01a960cbf84528adecef98030956fc2022-12-22T03:18:40ZengMDPI AGEntropy1099-43002007-05-0192738210.3390/e9020073Entropy Characteristic on Harmonious Unifying Hybrid Preferential NetworksQiang LiuQiao BiJin-Qing FangYong LiBased 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.http://www.mdpi.com/1099-4300/9/2/73/Entropyharmonious unifying hybrid preferential modelun-weighted networkweighted network |
| spellingShingle | Qiang Liu Qiao Bi Jin-Qing Fang Yong Li Entropy Characteristic on Harmonious Unifying Hybrid Preferential Networks Entropy Entropy harmonious unifying hybrid preferential model un-weighted network weighted network |
| title | Entropy Characteristic on Harmonious Unifying Hybrid Preferential Networks |
| title_full | Entropy Characteristic on Harmonious Unifying Hybrid Preferential Networks |
| title_fullStr | Entropy Characteristic on Harmonious Unifying Hybrid Preferential Networks |
| title_full_unstemmed | Entropy Characteristic on Harmonious Unifying Hybrid Preferential Networks |
| title_short | Entropy Characteristic on Harmonious Unifying Hybrid Preferential Networks |
| title_sort | entropy characteristic on harmonious unifying hybrid preferential networks |
| topic | Entropy harmonious unifying hybrid preferential model un-weighted network weighted network |
| url | http://www.mdpi.com/1099-4300/9/2/73/ |
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