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Majority-vote on directed Erdős–Rényi random graphs

Author

Listed:
  • Lima, F.W.S.
  • Sousa, A.O.
  • Sumuor, M.A.

Abstract

Through Monte Carlo Simulation, the well-known majority-vote model has been studied with noise on directed random graphs. In order to characterize completely the observed order–disorder phase transition, the critical noise parameter qc, as well as the critical exponents β/ν, γ/ν and 1/ν have been calculated as a function of the connectivity z of the random graph.

Suggested Citation

  • Lima, F.W.S. & Sousa, A.O. & Sumuor, M.A., 2008. "Majority-vote on directed Erdős–Rényi random graphs," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(14), pages 3503-3510.
    • Handle: RePEc:eee:phsmap:v:387:y:2008:i:14:p:3503-3510
    DOI: 10.1016/j.physa.2008.01.120
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    Cited by:

    1. Ding, Fei & Liu, Yun & Shen, Bo & Si, Xia-Meng, 2010. "An evolutionary game theory model of binary opinion formation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(8), pages 1745-1752.
    2. Balankin, Alexander S. & Martínez Cruz, Miguel Ángel & Martínez, Alfredo Trejo, 2011. "Effect of initial concentration and spatial heterogeneity of active agent distribution on opinion dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(21), pages 3876-3887.

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