Phase Transitions in Equilibrium and Non-Equilibrium Models on Some Topologies

On some regular and non-regular topologies, we studied the critical properties of models that present up-down symmetry, like the equilibrium Ising model and the nonequilibrium majority vote model. These are investigated on networks, like Apollonian (AN), Barabasi-Albert (BA), small-worlds (SW), Voronoi-Delaunay (VD) and Erdos-Renyi (ER) random graphs. The review here is on phase transitions, critical points, exponents and universality classes that are compared to the results obtained for these models on regular square lattices (SL).