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Coevolving complex networks in the model of social interactions

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  • Raducha, Tomasz
  • Gubiec, Tomasz

Abstract

We analyze Axelrod’s model of social interactions on coevolving complex networks. We introduce four extensions with different mechanisms of edge rewiring. The models are intended to catch two kinds of interactions—preferential attachment, which can be observed in scientists or actors collaborations, and local rewiring, which can be observed in friendship formation in everyday relations. Numerical simulations show that proposed dynamics can lead to the power-law distribution of nodes’ degree and high value of the clustering coefficient, while still retaining the small-world effect in three models. All models are characterized by two phase transitions of a different nature. In case of local rewiring we obtain order–disorder discontinuous phase transition even in the thermodynamic limit, while in case of long-distance switching discontinuity disappears in the thermodynamic limit, leaving one continuous phase transition. In addition, we discover a new and universal characteristic of the second transition point—an abrupt increase of the clustering coefficient, due to formation of many small complete subgraphs inside the network.

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  • Raducha, Tomasz & Gubiec, Tomasz, 2017. "Coevolving complex networks in the model of social interactions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 471(C), pages 427-435.
    • Handle: RePEc:eee:phsmap:v:471:y:2017:i:c:p:427-435
    DOI: 10.1016/j.physa.2016.12.079
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    1. Kim, Jongkwang & Wilhelm, Thomas, 2008. "What is a complex graph?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(11), pages 2637-2652.
    2. Piotr Przybyła & Katarzyna Sznajd-Weron & Rafał Weron, 2014. "Diffusion Of Innovation Within An Agent-Based Model: Spinsons, Independence And Advertising," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 17(01), pages 1-22.
    3. Laguna, M.F. & Abramson, Guillermo & Zanette, Damián H., 2003. "Vector opinion dynamics in a model for social influence," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 329(3), pages 459-472.
    4. Pinto, Sebastián & Balenzuela, Pablo & Dorso, Claudio O., 2016. "Setting the agenda: Different strategies of a Mass Media in a model of cultural dissemination," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 458(C), pages 378-390.
    5. Genzor, Jozef & Bužek, Vladimír & Gendiar, Andrej, 2015. "Thermodynamic model of social influence on two-dimensional square lattice: Case for two features," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 420(C), pages 200-211.
    6. Klemm, Konstantin & Eguı́luz, Vı́ctor M & Toral, Raúl & Miguel, Maxi San, 2003. "Role of dimensionality in Axelrod's model for the dissemination of culture," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 327(1), pages 1-5.
    7. Kim, Yup & Cho, Minsoo & Yook, Soon-Hyung, 2011. "Effects of the underlying topology on perturbation spreading in the Axelrod model for cultural dissemination," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(21), pages 3989-3995.
    8. Bartłomiej Dybiec, 2012. "Axelrod Model With Extended Conservativeness," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 23(12), pages 1-10.
    9. Pfau, Jens & Kirley, Michael & Kashima, Yoshihisa, 2013. "The co-evolution of cultures, social network communities, and agent locations in an extension of Axelrod’s model of cultural dissemination," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(2), pages 381-391.
    10. Parravano, A. & Rivera-Ramirez, H. & Cosenza, M.G., 2007. "Intracultural diversity in a model of social dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 379(1), pages 241-249.
    11. Gandica, Y. & Medina, E. & Bonalde, I., 2013. "A thermodynamic counterpart of the Axelrod model of social influence: The one-dimensional case," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(24), pages 6561-6570.
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    2. Tang, Miaohan & Hong, Jingke & Liu, Guiwen & Shen, Geoffrey Qiping, 2019. "Exploring energy flows embodied in China's economy from the regional and sectoral perspectives via combination of multi-regional input–output analysis and a complex network approach," Energy, Elsevier, vol. 170(C), pages 1191-1201.

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