access icon openaccess Durer-pentagon-based complex network

A novel Durer-pentagon-based complex network was constructed by adding a centre node. The properties of the complex network including the average degree, clustering coefficient, average path length, and fractal dimension were determined. The proposed complex network is small-world and fractal.

Inspec keywords: fractals; complex networks; large-scale systems

Other keywords: clustering coefficient; fractal dimension; average degree; Durer-pentagon-based complex network; average path length; small-world complex network; centre node

Subjects: Combinatorial mathematics; Combinatorial mathematics; Combinatorial mathematics; Algebra, set theory, and graph theory

References

    1. 1)
      • 3. Zhang, Z., Zhou, Y., Fang, J.: ‘Recent progress of deterministic models for complex networks’, Complex Syst. Complex. Sci., 2008, 5, (4), pp. 2946.
    2. 2)
    3. 3)
    4. 4)
    5. 5)
    6. 6)
      • 6. Shenela, B.L.: ‘It's a small world: fusion of cultures in genetic counseling’, J. Genet. Couns., 2012, 21, (2), pp. 20208.
    7. 7)
    8. 8)
    9. 9)
    10. 10)
      • 15. Liu, J., Kong, X.: ‘Establishment and structure properties of the scale-free Koch network’, Acta Phys. Sin., 2010, 59, (4), pp. 22442249.
    11. 11)
      • 5. Jin, X., Li, J.: ‘Research on statistical feature of online social networks based on complex network theory’. 2014 Seventh Int. Joint Conf. on Computational Sciences and Optimization, 2014, pp. 3539.
    12. 12)
    13. 13)
      • 17. http://www.mathworld.wolfram.com/Pentaflake.html, accessed August 2015.
    14. 14)
    15. 15)
    16. 16)
    17. 17)
    18. 18)
      • 18. Falconer, K.: ‘Fractal geometry: mathematical foundations and applications’ (John Wiley & Sons, Inc. Press, 2007, 2nd edn.).
    19. 19)
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