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F?sica estat?stica aplicada a sistemas sociais atrav?s do estudo de redes complexasDuarte, Gerdivane Ferreira 21 February 2014 (has links)
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Previous issue date: 2014-02-21 / Coordena??o de Aperfei?oamento de Pessoal de N?vel Superior / In this work a study of social networks based on analysis of family names is
presented. A basic approach to the mathematical formalism of graphs is developed
and then main theoretical models for complex networks are presented aiming to
support the analysis of surnames networks models. These, in turn, are worked so
as to be drawn leading quantities, such as aggregation coefficient, minimum average
path length and connectivity distribution. Based on these quantities, it can
be stated that surnames networks are an example of complex network, showing
important features such as preferential attachment and small-world character / Neste trabalho ? apresentado um estudo das redes sociais baseado na an?lise
dos nomes de fam?lias. Faz-se uma abordagem b?sica do formalismo matem?tico
dos grafos e em seguida apresenta-se os principais modelos te?ricos para as Redes
Complexas com o objetivo de fundamentar a an?lise das redes dos sobrenomes.
Estas, por sua vez, s?o trabalhadas de modo a serem extra?das as principais grandezas,
tais como coe ciente de agrega??o, menor caminho m?dio e distribui??o de
conectividades. Com base nestas grandezas, pode-se a rmar que as redes de sobrenomes
s?o um exemplo de rede complexa, exibindo caracter?sticas importantes
como liga??o preferencial e o car?ter de mundo pequeno.
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