College of Science, Nanjing University of Aeronautics and Astronautics
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RANDOM CONTINUOUS MODEL OF SCALE-FREE NETWORKS
Xianmin GENG
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College of Science, Nanjing University of Aeronautics and Astronautics
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文章历史+
收稿日期
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出版日期
2008-02-18
1900-01-01
2011-04-25
发布日期
2011-04-25
摘要
There are a lot of continuous evolving networks in real world, such as Internet, WWW network, etc. The evolving operation of these networks are not an equating interval of time by chance. In this paper, the author proposes a new mathematical model for the mechanism of continuous single preferential attachment on the scale free networks, and counts the distribution of degree using stochastic analysis. Namely, the author has established the random continuous model of the network evolution of which counting process determines the operating number, and has proved that this system self-organizes into scale-free structures with scaling exponent .
Abstract
There are a lot of continuous evolving networks in real world, such as Internet, WWW network, etc. The evolving operation of these networks are not an equating interval of time by chance. In this paper, the author proposes a new mathematical model for the mechanism of continuous single preferential attachment on the scale free networks, and counts the distribution of degree using stochastic analysis. Namely, the author has established the random continuous model of the network evolution of which counting process determines the operating number, and has proved that this system self-organizes into scale-free structures with scaling exponent .
Xianmin GENG. , {{custom_author.name_cn}}.
RANDOM CONTINUOUS MODEL OF SCALE-FREE NETWORKS. 系统科学与复杂性(英文), 2011, 24(2): 218-224 https://doi.org/10.1007/s11424-011-8076-6
Xianmin GENG. , {{custom_author.name_en}}.
RANDOM CONTINUOUS MODEL OF SCALE-FREE NETWORKS. Journal of Systems Science and Complexity, 2011, 24(2): 218-224 https://doi.org/10.1007/s11424-011-8076-6