Silva, Luciano Rodrigues daDuarte, Gerdivane Ferreira2019-03-152019-03-152018-11-14DUARTE, Gerdivane Ferreira. Propriedades estatísticas de redes complexas reais. 2018. 133f. Tese (Doutorado em Física) - Centro de Ciências Exatas e da Terra, Universidade Federal do Rio Grande do Norte, Natal, 2018.https://repositorio.ufrn.br/jspui/handle/123456789/26798We present a study of social networks based on the analysis of Brazilian and Portuguese family names (surnames). We construct networks whose nodes are names of families and whose edges represent parental relations between two families (each individual). From these networks we extract the connectivity distribution, clustering coe cient, shortest path and centrality. We nd that the connectivity distribution follows an approximate power law. We associate the number of hubs, centrality and entropy to the degree of miscegenation in the societies in both countries. Our results show that Portuguese society has a higher miscegenation degree than Brazilian society. All networks analyzed lead to approximate inverse square power laws in the degree distribution. We conclude that this parameter tends to be independent of the network size considered. The assortative mixing of all networks is negative, showing that the more connected vertices are connected to vertices with lower connectivity. Finally, the network of surnames presents some small world characteristics.Acesso AbertoRedes sem escalaRedes de sobrenomesEntropiaCentralidadeCorrelaçãodoctoralThesisCNPQ::CIENCIAS EXATAS E DA TERRA::FISICA