  The see-saw mechanism of neutrino mass generation, when incorporated in
supersymmetric theories with supergravity mediated supersymmetry breaking,
results in low-energy lepton-flavour violation arising from the soft
supersymmetry breaking slepton masses. The parameter space of supergravity
theories with conserved R-parity is severely constrained by the requirement
that the LSP provide cold dark matter with a relic density in the range
indicated by the recent WMAP measurements, as well as by laboratory
constraints. We calculate the $\meg$ branching ratio for the constrained
minimal supersymmetric standard model, over the range of parameters consistent
with WMAP and laboratory constraints, in families of see-saw model
parameterizations which fit the low energy neutrino measurements. We find that
over much of the range of see-saw models, for supersymmetry parameters
consistent with WMAP and laboratory bounds, the resulting predicted rates for
$\meg$ (and other charged lepton flavour violating processes) are within
current experimental limits, but that these rates should be detectable with the
next generation of lepton-flavour violation experiments.
