  In this paper, we consider a sequence of open quantum graphs, with uniformly
bounded data, and we are interested in the asymptotic distribution of their
scattering resonances. Supposing that the number of leads in our quantum graphs
is small compared to the total number of edges, we show that most resonances
are close to the real axis. More precisely, the asymptotic distribution of
resonances of our open quantum graphs is the same as the asymptotic
distribution of the square-root of the eigenvalues of the closed quantum graphs
obtained by removing all the leads.
