  Even tiny lepton flavor violation (LFV) due to some New Physics is able to
alter the conditions inside a collapsing supernova core and probably to
facilitate the explosion. LFV emerges naturally in a See-Saw type II model of
neutrino mass generation. Experimentally LFV is constrained by rare lepton
decay searches. In particular, strong bounds are imposed on the mu->eee
branching ratio and on the mu-e conversion probability in muonic gold.
Currently the mu->e gamma decay is under investigation in the MEG experiment
which aims at dramatic increase of sensitivity in the next three years. We
search for a See-Saw type II LFV pattern which fits all the experimental
constraints, provides Br(mu->e gamma) not less than Br(mu->eee) and ensures a
rate of LFV processes in supernova high enough to modify the supernova physics.
These requirements are sufficient to eliminate almost all freedom in the model.
In particular, they lead to a prediction 0.5*10^(-12) < Br(mu->e gamma)<
6*10^(-12), which is testable by MEG in the nearest future. The considered
scenario also constrains neutrino mass-mixing pattern and provides lower and
upper bounds on tau-lepton LFV decays. We also briefly discuss a model with a
single bilepton in which the mu->eee decay is absent at the tree level.
