A Novel Family-Size Model by Family Names Study
Complex network research has been increasingly applied to social networks. In this paper, we undertake a case study of the top 1,000 family names in the 2000 US Census as a database. Topological structure shows a right-skewed power-law distribution. A social family-size model is presented, which is based on the birth-and-death process; the model describes a distribution on the evolving of family names whose patterns are demonstrated globally by power-law distribution. The numerical simulations of the model for structural properties fit well with the top 1,000 family names.
KeywordsComplex network Family name Power-law distribution
This work is supported by Natural Science Foundation of China (No. 71071090). The authors also give their thanks to all the references and the US Census for the data on family name.
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