中国物理B ›› 2005, Vol. 14 ›› Issue (4): 643-645.doi: 10.1088/1009-1963/14/4/001

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An exponential distribution network

刘景舟1, 唐贻发2   

  1. (1)Department of Physics and Institute of Theoretical Physics,Beijing Normal University, Beijing, China; (2)State Key Laboratory of Scientific and Engineering Computing,Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing,100080, China
  • 收稿日期:2004-05-14 修回日期:2004-12-03 出版日期:2005-04-20 发布日期:2005-04-20
  • 基金资助:
    Project supported by the Informatization Construction of Knowledge Innovation Projects of the Chinese Academy of Sciences: ``Supercomputing Environment Construction and Application' (INF105-SCE), and the National Natural Science Foundation of China (Grant No 10471145)

An exponential distribution network

Liu Jing-Zhou (刘景舟)ab, Tang Yi-Fa (唐贻发)b   

  1. a Department of Physics and Institute of Theoretical Physics,Beijing Normal University, Beijing 100875, China; b State Key Laboratory of Scientific and Engineering Computing, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, China
  • Received:2004-05-14 Revised:2004-12-03 Online:2005-04-20 Published:2005-04-20
  • Supported by:
    Project supported by the Informatization Construction of Knowledge Innovation Projects of the Chinese Academy of Sciences: ``Supercomputing Environment Construction and Application' (INF105-SCE), and the National Natural Science Foundation of China (Grant No 10471145)

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摘要： A complex network with an exponential distribution p(k)\propto\e{-\frac{k}{k_{c}}}with k c =3.50±0.02 is introduced and found to have assortative correlation k i nn =B+qk i (q>0) from numerical simulation.

Abstract: A complex network with an exponential distribution $p(k)\propto {\rm e}^{-\frac{k}{k_c}}$ with kc=3.50±0.02 is introduced and found to have assortative correlation $\langle k_i^{nn}\rangle$ =B+qki (q>0) from numerical simulation.

Key words: network, degree correlation

中图分类号:  (Probability theory, stochastic processes, and statistics)

  • 02.50.-r
02.60.Cb (Numerical simulation; solution of equations) 05.45.-a (Nonlinear dynamics and chaos)