  We explore the possibility of distinguishing neutrino mass hierarchies
through the neutrino signal from dark matter annihilation at neutrino
telescopes. We consider a simple extension of the standard model where the
neutrino masses and mixing angles are obtained via the type-II seesaw mechanism
as an explicit example. We show that future extensions of IceCube neutrino
telescope may detect the neutrino signal from DM annihilation at the Galactic
Center and inside the Sun, and differentiate between the normal and inverted
mass hierarchies, in this model.
