  A brief review is given on the study of the thermodynamic properties of spin
models defined on different topologies like small-world, scale-free networks,
random graphs and regular and random lattices. Ising, Potts and Blume-Capel
models are considered. They are defined on complex lattices comprising
Appolonian, Barab\'asi-Albert, Voronoi-Delauny and small-world networks. The
main emphasis is given on the corresponding phase transitions, transition
temperatures, critical exponents and universality, compared to those obtained
by the same models on regular Bravais lattices.
