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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.
1

Din?mica e estrutura de redes complexas no modelo de afinidade

Almeida, Maur?cio Lopes de 13 July 2010 (has links)
Made available in DSpace on 2015-03-03T15:15:25Z (GMT). No. of bitstreams: 1 MauricioLA_DISSERT.pdf: 2113190 bytes, checksum: 160de9201ee3baf59aae3af8ccefdf5e (MD5) Previous issue date: 2010-07-13 / Coordena??o de Aperfei?oamento de Pessoal de N?vel Superior / 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 / Neste trabalho, elaboramos e discutimos um modelo de rede complexa que apresenta escala livre (distribui??o de conectividade tipo lei de pot?ncia). Para isso, modificamos a regra de liga??o preferencial do modelo de Bianconi-Barab?si, inserindo um fator que retrata quanta semelhan?a ? guardada entre os par?metros de qualidades dos s?tios da rede. O termo que nos d? essa informa??o ? a chamada afinidade, sendo, a mesma, dada pelo m?dulo da diferen?a entre a qualidade do novo s?tio, que est? sendo inserido na rede, e as dos que j? fazem parte dela. Essa varia??o na liga??o preferencial permitiu, ao nosso modelo, obter resultados bastantes interessantes, como por exemplo, a evolu??o temporal da conectividade de um s?tio que segue uma lei pot?ncia ??ki ? ( t/t0)?, onde o expoente ?, que indica a taxa com que um s?tio consegue liga??es, certamente, depende de sua afinidade com os demais s?tios da rede. Al?m disso, mostraremos tamb?m, os resultados que foram obtidos, via simula??o num?rica, para o menor caminho m?dio e o coeficiente de agrega??o da rede gerada pelo nosso modelo, isto ?, pelo modelo de afinidade

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