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Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 287))

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Abstract

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.

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References

  1. Albert R, Barabasi AL (2000) Dynamics of complex systems: scaling laws for the period of Boolean networks. Phys Rev Lett 85:5234

    Article  Google Scholar 

  2. Watts DJ, Strogatz SH (1998) Collective dynamics of ‘small-world’ networks. Nature 393:440–442

    Article  Google Scholar 

  3. Strogatz SH (2001) Exploring complex networks. Nature 410:268–276

    Article  Google Scholar 

  4. Krebs VE (2002) Mapping networks of terrorist cells. Connections 24(3):43–52

    Google Scholar 

  5. Albert R, Jeong H, Baraba′asi A-L (2000) Error and attack tolerance of complex networks. Nature 406:378–382

    Article  Google Scholar 

  6. Newman MEJ (2005) Power-law, Pareto distributions and Zipf’s law. Contemporary Phys 46(5):323–351

    Article  Google Scholar 

  7. Zanette DH, Manrubia SC (2001) Vertical transmission of culture and the distri-bution of family names. Phys A 295:1–8

    Google Scholar 

  8. Lafuerza LF, Toral R (2011) Evolution of surname distribution under gender-equality measures. PLoS ONE 6(4):e18105

    Google Scholar 

  9. http://www.census.gov/genealogy/www/data/ind

  10. Nee S (2006) Birth-Death models in macroevolution. Annu Rev Ecol Evol Syst 37:1–17

    Google Scholar 

  11. Barabási AL, Albert R, Jeong H (1999) Mean-field theory for scale-free random networks. Phys A 272:173–187

    Google Scholar 

  12. Mackun P, Wilson S (2010) Population Distribution and Change: 2000 to 2010

    Google Scholar 

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Acknowledgments

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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Correspondence to Ying Hong Ma .

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Ma, Y.H., Li, J.P. (2014). A Novel Family-Size Model by Family Names Study. In: Jia, L., Liu, Z., Qin, Y., Zhao, M., Diao, L. (eds) Proceedings of the 2013 International Conference on Electrical and Information Technologies for Rail Transportation (EITRT2013)-Volume I. Lecture Notes in Electrical Engineering, vol 287. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-53778-3_38

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  • DOI: https://doi.org/10.1007/978-3-642-53778-3_38

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-53777-6

  • Online ISBN: 978-3-642-53778-3

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