On directed Small-World networks the Majority-vote model with noise is now studied through Monte Carlo simulations. In this model, the orderdisorder phase transition of the order parameter is well defined in this system. We calculate the value of the critical noise parameter q c for several values of rewiring probability p of the directed Small-World network. The critical exponentes β/ν, γ/ν and 1/ν were calculated for several values of p.

Using Monte Carlo simulations we study the Ising model with spin S = 1, 3/2 and 2 on directed Barabási-Albert and small-world networks. In this model, the order-disorder phase transition of the order parameter is well defined on small-world networks. We calculate the value of the critical temperature Tc for several values of rewiring probability p of the directed small-world network. For directed small-world networks we obtained a second-order phase transition for p = 0.2 and first-order phase transition for p = 0.8. On directed Barabási-Albert we show that phase transition do not exist for Ising model with spin S = 1, 3/2 and 2.

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