  We study inhomogeneous Cooper pairs distribution and localization effects in
tree-like networks of superconducting islands coupled via Josephson weak links.
Using a generalized Feynman's approach, reminiscent of the Bose-Hubbard model,
we demonstrate that the Cooper pairs fraction which localizes on a specific
network's island is limited by the network topology and, if present, by the
repulsive interaction. These findings contribute to clarify the interplay
between confinement effects induced by the network's topology and interaction
and shed some light on recent experiments dealing with networks of Josephson
junctions.
