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Complex Network’s Competitive Growth Model of Degree-Characteristic Inheritance

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Part of the book series: Communications in Computer and Information Science ((CCIS,volume 780))

Abstract

Complex network is a kind of network between regular network and stochastic network. Inspired by biological evolution, we introduced resource competition and genetic inheritance into the growth process of network, and proposed a new growth model with the priority connection of scale-free network. Emulated analysis shows that the network model of competitive growth is no longer power-law, but it obeys exponential distribution. The competitive growth model of degree-characteristic inheritance is negative skew. And it shows a linear relationship between the logarithm of average degree and the network size, which is also proved by the mathematical deduction. In addition, the average clustering coefficient of network decreases with the increase of the genetic coefficient, while the average path length increases with the increase of the inherited coefficient. The whole model is topologically tunable. Different combinations of parameters can produce network models with different properties.

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References

  1. Andriani, P., McKelvey, B.: From Gaussian to Paretian thinking: causes and implications of power laws in organizations. Organ. Sci. 20(6), 1053–1071 (2009). doi:10.1287/orsc.1090.0481

    Article  Google Scholar 

  2. Liu, W.Y., Liu, B.: Study on congestion control for complex network based on weighted routing strategy. Syst. Eng.-Theory Pract. 35(4), 1063–1068 (2015)

    MathSciNet  Google Scholar 

  3. Lv, J.H.: Mathematical models and synchronization criterions of complex dynamical networks. Syst. Eng.-Theory Pract. 24(4), 17–22 (2004)

    Google Scholar 

  4. Wang, X.F., Li, X., Chen, G.R.: Theory of Complex Networks and its Application. Tsinghua University Press, Beijing (2009)

    Google Scholar 

  5. Watts, D.J., Strogatz, S.H.: Collective dynamics of small-world network. Nature 393(6684), 440–442 (1998). doi:10.1038/30918

    Article  MATH  Google Scholar 

  6. Shekatkar, S.M., Ambika, G.: Complex networks with scale-free nature and hierarchical modularity. Eur. Phys. J. B 88(9), 1–7 (2015). doi:10.1140/epjb/e2015-60501-y

    Article  Google Scholar 

  7. Santos, F.C., Pacheco, J.M.: Scale-free networks provide a unifying framework for the emergence of cooperation. Phys. Rev. Lett. 95, 098104 (2005). doi:10.1103/PhysRevLett.95.098104

    Article  Google Scholar 

  8. Barabasi, A.L., Albert, R.: Emergence of scaling in random networks. Science 286, 509–512 (1999). doi:10.1126/science.286.5439.509

    Article  MathSciNet  MATH  Google Scholar 

  9. Li, J., Wang, B.H.: Growing complex network model with acceleratingly increasing number of nodes. Acta Phys. Sinica 55(8), 4051–4057 (2006)

    Google Scholar 

  10. Wang, Z., Yao, H.: Repeated snowdrift game on tunable scale-free networks. Syst. Eng.-Theory Pract. 36(1), 121–126 (2016)

    Google Scholar 

  11. Holme, P., Kim, B.J.: Growing scale-free networks with tunable clustering. Phys. Rev. E Stat. Nonlinear Soft Matter Phys. 65(2), 026107 (2002). doi:10.1103/PhysRevE.65.026107

    Article  Google Scholar 

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Correspondence to Shouyang Wang .

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© 2017 Springer Nature Singapore Pte Ltd.

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Gu, H., Yang, X., Wang, S. (2017). Complex Network’s Competitive Growth Model of Degree-Characteristic Inheritance. In: Chen, J., Theeramunkong, T., Supnithi, T., Tang, X. (eds) Knowledge and Systems Sciences. KSS 2017. Communications in Computer and Information Science, vol 780. Springer, Singapore. https://doi.org/10.1007/978-981-10-6989-5_2

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  • DOI: https://doi.org/10.1007/978-981-10-6989-5_2

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-6988-8

  • Online ISBN: 978-981-10-6989-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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