Dinâmica e estrutura de redes complexas no modelo de afinidade
In this work we elaborate and discuss a Complex Network model which presents connectivity scale free probability distribution (power-law degree distribution). In order to do that, we modify the rule of the preferential attachment of the Bianconi-Barabasi model, including a factor which represents...
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| Formato: | Dissertação |
| Idioma: | por |
| Publicado em: |
Universidade Federal do Rio Grande do Norte
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| Endereço do item: | https://repositorio.ufrn.br/jspui/handle/123456789/18589 |
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| Resumo: | In this work we elaborate and discuss a Complex Network model which presents
connectivity scale free probability distribution (power-law degree distribution). In order to
do that, we modify the rule of the preferential attachment of the Bianconi-Barabasi model,
including a factor which represents the similarity of the sites. The term that corresponds to
this similarity is called the affinity, and is obtained by the modulus of the difference between
the fitness (or quality) of the sites. This variation in the preferential attachment generates
very interesting results, by instance the time evolution of the connectivity, which follows a
power-law distribution ki / ( t
t0
)fi, where fi indicates the rate to the site gain connections.
Certainly this depends on the affinity with other sites. Besides, we will show by numerical
simulations results for the average path length and for the clustering coefficient |
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