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Smart pattern to generate small–world networks

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  • Soriano-Sánchez, A.G.
  • Posadas-Castillo, C.

Abstract

This article proposes a new method to introduce the small–world property into regular networks. A smart connection pattern, achieved by rewiring and adding connections, is suggested in order to reduce the loss of connectivity produced by the introduction of randomness in the topology. The resulting complex network exhibits the small–world property, i.e., small average distance node to node and high connectivity. This model could be used as an alternative to improve the robustness of some networks created artificially.

Suggested Citation

  • Soriano-Sánchez, A.G. & Posadas-Castillo, C., 2018. "Smart pattern to generate small–world networks," Chaos, Solitons & Fractals, Elsevier, vol. 114(C), pages 415-422.
    • Handle: RePEc:eee:chsofr:v:114:y:2018:i:c:p:415-422
    DOI: 10.1016/j.chaos.2018.07.038
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    1. Li, Xianghua & Wang, Zhen & Gao, Chao & Shi, Lei, 2017. "Reasoning human emotional responses from large-scale social and public media," Applied Mathematics and Computation, Elsevier, vol. 310(C), pages 182-193.
    2. Huang, Keke & Zheng, Xiaoping & Yang, Yeqing & Wang, Tao, 2015. "Behavioral evolution in evacuation crowd based on heterogeneous rationality of small groups," Applied Mathematics and Computation, Elsevier, vol. 266(C), pages 501-506.
    3. Wang, Jiang & Guo, Xinmeng & Yu, Haitao & Liu, Chen & Deng, Bin & Wei, Xile & Chen, Yingyuan, 2014. "Stochastic resonance in small-world neuronal networks with hybrid electrical–chemical synapses," Chaos, Solitons & Fractals, Elsevier, vol. 60(C), pages 40-48.
    4. Du, Chenglie & Li, Jianliang, 2018. "Preferential learning and memory resolve social dilemma," Chaos, Solitons & Fractals, Elsevier, vol. 110(C), pages 16-19.
    5. Wang, Zhigang & Zhang, Haifeng & Wang, Zhen, 2014. "Multiple effects of self-protection on the spreading of epidemics," Chaos, Solitons & Fractals, Elsevier, vol. 61(C), pages 1-7.
    6. Markovič, Rene & Gosak, Marko & Marhl, Marko, 2014. "Broad-scale small-world network topology induces optimal synchronization of flexible oscillators," Chaos, Solitons & Fractals, Elsevier, vol. 69(C), pages 14-21.
    7. Erkaymaz, Okan & Ozer, Mahmut, 2016. "Impact of small-world network topology on the conventional artificial neural network for the diagnosis of diabetes," Chaos, Solitons & Fractals, Elsevier, vol. 83(C), pages 178-185.
    8. Ramani, A. & Grammaticos, B. & Satsuma, J., 2009. "Modelling the dynamics of nonendemic epidemics," Chaos, Solitons & Fractals, Elsevier, vol. 40(1), pages 491-496.
    9. Jon M. Kleinberg, 2000. "Navigation in a small world," Nature, Nature, vol. 406(6798), pages 845-845, August.
    10. Huang, Keke & Chen, Xiaofang & Yu, Zhaofei & Yang, Chunhua & Gui, Weihua, 2018. "Heterogeneous cooperative belief for social dilemma in multi-agent system," Applied Mathematics and Computation, Elsevier, vol. 320(C), pages 572-579.
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    Cited by:

    1. Sánchez, Allan G.S. & Posadas–Castillo, C. & Garza–González, E., 2021. "Determining efficiency of small-world algorithms: A comparative approach," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 187(C), pages 687-699.
    2. Garza-González, E. & Posadas-Castillo, C. & López-Mancilla, D. & Soriano-Sánchez, A.G., 2020. "Increasing synchronizability in a scale-free network via edge elimination," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 174(C), pages 233-243.

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