The Complex International Migration Network for Top Scientific and Technological Talents
Yinqiu Wang, Hui Luo, Zhengfeng Li, Guang Yang

Abstract
This paper studies international migration for top scientific and technological talents under mathematical and quantitative approach. In the beginning, we give the definition about top scientific and technological talents, and collect information and data of international migration for top talents. Then, with the knowledge of algebraic graph theory, probability and statistics, complex systems and networks, the complex network model of talent’s migration is built. After that, the relationship between complex networks and international migration for top talents is investigated, and some concepts and indices of complex networks are employed to study the characteristics of talent’s migration, including immigration and emigration. Finally, we analyze the migration for top talents between eleven major and typical countries or regions based on the proposed complex network model of talent’s migration, and show the effectiveness of the theoretical results.

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