期刊文献+

无标度网络模型研究进展 被引量:12

The research on the scale-free networks model
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摘要 从统计力学的角度分析和考察了无标度网络的基本特征,介绍了无标度网络最常用的动力学模型——Barabási-Al-bert模型以及几种以其为基础的修正模型的构造原理,总结分析以上模型设计上的不足,并据此提出了一个以B-A模型为基础的改进思路(连边-断边-重连理论),该理论能够很好解释自然界中流行病复发的现象,具有科学性和现实意义. The basic character of the scale-free networks is analysed on the base of the statistical mechanics, the conformation principium of B-A and correctional model are introduced, owing to the shortage, a new model is designed, the new model could explain the phenomena of epidemic recrudescence.
出处 《大学物理》 北大核心 2008年第4期43-47,共5页 College Physics
基金 国家自然科学基金(10647005) 贵州省科学技术基金([2006]2006) 贵州省教育厅自然科学基金(2005115) 贵州大学研究生创新基金(2006031)资助项目
关键词 无尺度网络 度分布 Barabasi-Albert模型 优先连接 scale-free networks degree distributions Barabasi-Albert model preferential attachment
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参考文献10

  • 1Barabasi A L, Albert R. Emergence of Sealing in Random Networks [J]. Science, 1999,286 : 509.
  • 2Albert R, Barabasi A L. Statistical Mechanics of Complex Networks[J].Rev Mod Phys, 2002,74(1).
  • 3Dorogovtsev S, N, Mendes J F F. Scaling Properties of Scale-free Evolving Networks: Continuous Approach [J]. Phys Rev, 2001,E 63:056 125.
  • 4Nima Sarshar, Vwani Roychowdhury. Scale-free and Stable Structures in Complex Networks[J].Phys Rev, 2004,E 69:026 101.
  • 5Cohen R, Erez K, b-Avraham D, et al. Resilience of the Internet to Random Breakdowns [ J ]. Phys Rev Lett, 2000, 85.4 626.
  • 6Newman M E J. The Structure and Function of Complex Networks[J]. SIAM Rev, 2003, 45.167.
  • 7Barabasi A L, Albert R. Emergence of Scaling in Random Networks[J].Science, 1999, 286: 509-512.
  • 8GUO J L, BAI Y Q. Anote on mean-field theory for scale -free random networks, Dynamics of continuous[J]. Discrete and Impulsive Systems, Ser B, 2006, 13(3) :520- 528.
  • 9唐芙蓉,蔡绍洪,李朝辉.无标度网络的嵌入-删除-补偿模型的建立及分析[J].中国矿业大学学报,2005,34(3):390-393. 被引量:13
  • 10Bollobas B, Riordan O M. Mathematical result on Scalefree random graphs[A]. In: Bornholdt S, Schuster H G, eds. Handbook of Graphs and Networks [ C]. Weinheim: Wiley-Vch GmbH & Co KgaA, 2003.

二级参考文献11

  • 1Barabási A L, Albert R. Emergence of scaling in random networks[J]. Science, 1999,286:509-512.
  • 2Newman M E. The structure and function of complex networks[J]. SIAM Rev. 2003,45:167-256.
  • 3Dorogovtsev S N, Mendes J F F. Scaling properties of scale-free evolving networks: Continuous approach[J]. Phys. Rev. E 2001,63:056125.
  • 4Sarshar N, Roychowdhury V. Scale-free and stable structures in complex networks[J]. Phys. Rev. E 2004,69:026101.
  • 5Albert R, Jeong H, Barabási A L. Error and attack tolerance in complex networks[J]. Nature, 2000,406:378-382.
  • 6Cohen R, Erez K, Avraham D B, et al. Resilience of the internet to random breakdowns[J]. Phys. Rev.Lett. 2000,85:46264628.
  • 7Arenas A, Días-Guilera A, Guimerà R. Communication in networks with hierarchical branching[J]. Phys. Rev. Lett. 2001,86: 3196-3199.
  • 8Albert R, Barabasi A L. Statistical mechanics of complex networks[J]. Rev. Mod. Phys, 2002,74:47-97.
  • 9Liang Z, Kwangho P, Lai Y C. Attack vulnerability of scale-free networks due to cascading breakdown[J]. Phys.Rev. 2004,70:035101(R).
  • 10Barabási A L, Albert R, Jeong H. Mean-field theory for scale-free random networks[J]. Physica A, 1999,272:173-187.

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