Effects of target routing model on the occurrence of extreme events in complex networks

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• 作者：Xiang Ling (1889) (2889)
  Mao-Bin Hu (1889)
  Jian-Xun Ding (2889)
  Qing Shi (2889)
  Rui Jiang (1889)
  
• 关键词：Statistical and Nonlinear Physics
• 刊名：The European Physical Journal B - Condensed Matter
• 出版年：2013
• 出版时间：April 2013
• 年：2013
• 卷：86
• 期：4
• 全文大小：222KB
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• 作者单位：Xiang Ling (1889) (2889)
  Mao-Bin Hu (1889)
  Jian-Xun Ding (2889)
  Qing Shi (2889)
  Rui Jiang (1889)
  
  1889. School of Engineering Science, University of Science and Technology of China, Hefei, 230026, P.R. China
  2889. School of Transportation Engineering, Hefei University of Technology, Hefei, 230009, P.R. China
  
• ISSN：1434-6036

文摘

This paper investigates the effect of routing protocol on the occurrence of extreme events (EE) in complex networks, as an extension of [V. Kishore, M.S. Santhanam, R.E. Amritkar, Phys. Rev. Lett. 106, 188701 (2011)]. The target routing model [W.X. Wang, B.H. Wang, C.Y. Yin, Y.B. Xie, T. Zhou, Phys. Rev. E 73, 026111 (2006)] is considered. In the model, a tunable power parameter α controls the packets-preference of forwarding direction. We derive exact expressions for the stationary distribution probability of packets and estimate the occurrence probability of EE on the nodes. The occurrence of EE strongly depends on the routing parameter. For Barabási-Albert scale-free network, Erd?s-Rényi random network and Newman-Watts small-world network, it is shown that the minimal occurrence of EE is achieved at α = ?.