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Tuning the average path length of complex networks and its influence to the emergent dynamics of the majority-rule model

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  • Reppas, Andreas I.
  • Spiliotis, Konstantinos
  • Siettos, Constantinos I.

Abstract

We show how appropriate rewiring with the aid of Metropolis Monte Carlo computational experiments can be exploited to create network topologies possessing prescribed values of the average path length (APL) while keeping the same connectivity degree and clustering coefficient distributions. Using the proposed rewiring rules, we illustrate how the emergent dynamics of the celebrated majority-rule model are shaped by the distinct impact of the APL attesting the need for developing efficient algorithms for tuning such network characteristics.

Suggested Citation

  • Reppas, Andreas I. & Spiliotis, Konstantinos & Siettos, Constantinos I., 2015. "Tuning the average path length of complex networks and its influence to the emergent dynamics of the majority-rule model," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 109(C), pages 186-196.
    • Handle: RePEc:eee:matcom:v:109:y:2015:i:c:p:186-196
    DOI: 10.1016/j.matcom.2014.09.005
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    1. Hughes, R.L., 2000. "The flow of large crowds of pedestrians," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 53(4), pages 367-370.
    2. Dirk Helbing & Illés Farkas & Tamás Vicsek, 2000. "Simulating dynamical features of escape panic," Nature, Nature, vol. 407(6803), pages 487-490, September.
    3. M. E. J. Newman & D. J. Watts, 1999. "Renormalization Group Analysis of the Small-World Network Model," Working Papers 99-04-029, Santa Fe Institute.
    4. Guo, Qiang & Zhou, Tao & Liu, Jian-Guo & Bai, Wen-Jie & Wang, Bing-Hong & Zhao, Ming, 2006. "Growing scale-free small-world networks with tunable assortative coefficient," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 371(2), pages 814-822.
    5. Mei, Shan & Sloot, P.M.A. & Quax, Rick & Zhu, Yifan & Wang, Weiping, 2010. "Complex agent networks explaining the HIV epidemic among homosexual men in Amsterdam," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 80(5), pages 1018-1030.
    6. Ianni, A. & Corradi, V., 2001. "The dynamics of public opinion under majority rules," Discussion Paper Series In Economics And Econometrics 0109, Economics Division, School of Social Sciences, University of Southampton.
    7. Barabási, Albert-László & Albert, Réka & Jeong, Hawoong, 1999. "Mean-field theory for scale-free random networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 272(1), pages 173-187.
    8. Parisi, D.R. & Dorso, C.O., 2005. "Microscopic dynamics of pedestrian evacuation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 354(C), pages 606-618.
    9. Jorge M Pacheco & Flávio L Pinheiro & Francisco C Santos, 2009. "Population Structure Induces a Symmetry Breaking Favoring the Emergence of Cooperation," PLOS Computational Biology, Public Library of Science, vol. 5(12), pages 1-7, December.
    10. Leary, C.C. & Schwehm, M. & Eichner, M. & Duerr, H.P., 2007. "Tuning degree distributions: Departing from scale-free networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 382(2), pages 731-738.
    11. Steven H. Strogatz, 2001. "Exploring complex networks," Nature, Nature, vol. 410(6825), pages 268-276, March.
    12. D. S. Callaway & J. E. Hopcroft & J. M. Kleinberg & M. E. J. Newman & S. H. Strogatz, 2001. "Are Randomly Grown Graphs Really Random?," Working Papers 01-05-025, Santa Fe Institute.
    13. Ianni, A. & Corradi, V., 2001. "The dynamics of public opinion under majority rules," Discussion Paper Series In Economics And Econometrics 109, Economics Division, School of Social Sciences, University of Southampton.
    14. Tessone, Claudio J. & Toral, Raúl, 2005. "System size stochastic resonance in a model for opinion formation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 351(1), pages 106-116.
    15. Jennifer Badham & Rob Stocker, 2010. "A Spatial Approach to Network Generation for Three Properties: Degree Distribution, Clustering Coefficient and Degree Assortativity," Journal of Artificial Societies and Social Simulation, Journal of Artificial Societies and Social Simulation, vol. 13(1), pages 1-11.
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