  Using our previously published algorithm, we analyze the eigenvectors of the
generalized Laplacian for two metric graphs occurring in practical
applications. As expected, localization of an eigenvector is rare and the
network should be tuned to observe exactly localized eigenvectors. We derive
the resonance conditions to obtain localized eigenvectors for various geometric
configurations and their combinations to form more complicated resonant
structures. These localized eigenvectors suggest a new localization indicator
based on the $L_2$ norm. They also can be excited, even with leaky boundary
conditions, as shown by the numerical solution of the time-dependent wave
equation on the metric graph. Finally, the study suggests practical ways to
make resonating systems based on metric graphs.
