  The density matrix renormalization group (DMRG) has been extended to study
quantum phase transitions on random graphs of fixed connectivity. As a relevant
example, we have analysed the random Ising model in a transverse field. If the
couplings are random, the number of retained states remains reasonably low even
for large sizes. The resulting quantum spin-glass transition has been traced
down for a few disorder realizations, through the careful measurement of
selected observables: spatial correlations, entanglement entropy, energy gap
and spin-glass susceptibility, among others.
