Majority-vote on directed Erdős–Rényi random graphs

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 qcqc, as well as the critical exponents β/νβ/ν, γ/νγ/ν and 1/ν1/ν have been calculated as a function of the connectivity zz of the random graph.