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On topological properties of the octahedral Koch network

Author

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  • Chen, Renxia
  • Fu, Xinchu
  • Wu, Qingchu

Abstract

In this article, we propose an octahedral Koch network exhibiting abundant new properties compared to the triangular Koch network. Analytical expressions for the degree distribution, clustering coefficient, and average path length are presented. The scale-free feature and small-world property of the octahedral Koch network are obtained via numerical analysis. Furthermore, we show that the octahedral Koch network is assortative. Finally, we show that the projection of the octahedral Koch network on the plane is the nearest neighbor coupled Koch network, and the critical exponents of degree distribution in the octahedral Koch network is greater than three.

Suggested Citation

  • Chen, Renxia & Fu, Xinchu & Wu, Qingchu, 2012. "On topological properties of the octahedral Koch network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(3), pages 880-886.
    • Handle: RePEc:eee:phsmap:v:391:y:2012:i:3:p:880-886
    DOI: 10.1016/j.physa.2011.08.052
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    References listed on IDEAS

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    1. Zhongzhi Zhang & Shuigeng Zhou & Tao Zou & Lichao Chen & Jihong Guan, 2007. "Incompatibility networks as models of scale-free small-world graphs," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 60(2), pages 259-264, November.
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    Cited by:

    1. Le, Anbo & Gao, Fei & Xi, Lifeng & Yin, Shuhua, 2015. "Complex networks modeled on the Sierpinski gasket," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 436(C), pages 646-657.
    2. Huang, Liang & Zheng, Yu, 2023. "Asymptotic formula on APL of fractal evolving networks generated by Durer Pentagon," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).
    3. Wang, Songjing & Xi, Lifeng & Xu, Hui & Wang, Lihong, 2017. "Scale-free and small-world properties of Sierpinski networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 465(C), pages 690-700.
    4. Chen, Jin & Le, Anbo & Wang, Qin & Xi, Lifeng, 2016. "A small-world and scale-free network generated by Sierpinski Pentagon," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 449(C), pages 126-135.

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