We summarize the key results of the study in resonances on quantum graphs. Firstly we introduce the notion of a quantum graph. Then we distinguish two definitions of resonances - resolvent and scattering resonances. Furthermore, we study eigenvalues of a graph with rationally related lengths of the edges and resonances which come from these eigenvalues if the lengths of the edges are perturbed. Finally, we study asymptotics of the number of resonances and show criteria when the asymptotics is non-Weyl., Jiří Lipovský., and Obsahuje seznam literatury