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Network topology optimization by turning non-scale-free networks into scale-free networks using nonlinear preferential rewiring method

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Listed:
  • Feng Su
  • Peijiang Yuan
  • Yuanwei Liu
  • Shuangqian Cao

Abstract

In practical application, the generation and evolution of many real networks always do not follow rigorous mathematical model, making network topology optimization a great challenge in the field of complex networks. In this research, we optimize the topology of non-scale-free networks by turning it into scale-free networks using a nonlinear preferential rewiring method. For different kinds of original networks generated by Watts and Strogatz model, we systematically demonstrate the optimization process and the modified networks to verify the performance of nonlinear preferential rewiring. We conduct further researches to explore the effect of nonlinear preferential rewiring’s parameters on performance. Simulation results show that various non-scale-free networks with different network topologies generated by WS model, including random networks and various networks between regular and random, are turned into scale-free networks perfectly by nonlinear preferential rewiring method.

Suggested Citation

  • Feng Su & Peijiang Yuan & Yuanwei Liu & Shuangqian Cao, 2018. "Network topology optimization by turning non-scale-free networks into scale-free networks using nonlinear preferential rewiring method," International Journal of Distributed Sensor Networks, , vol. 14(11), pages 15501477187, November.
    • Handle: RePEc:sae:intdis:v:14:y:2018:i:11:p:1550147718784477
    DOI: 10.1177/1550147718784477
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    References listed on IDEAS

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    1. Li, Xiang & Chen, Guanrong, 2003. "A local-world evolving network model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 328(1), pages 274-286.
    2. Steven H. Strogatz, 2001. "Exploring complex networks," Nature, Nature, vol. 410(6825), pages 268-276, March.
    3. Xu, Xin-Jian & Hu, Xiao-Ming & Zhang, Li-Jie, 2011. "Network evolution by nonlinear preferential rewiring of edges," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(12), pages 2429-2434.
    4. Sarah Kellogg, 2012. "Collaborations: A single cog in a complex machine," Nature, Nature, vol. 489(7414), pages 165-167, September.
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