  We report on an unconventional mechanism of electron scattering in graphene
in hybrid Bose- Fermi systems. We study energy-dependent electron relaxation
time, accounting for the processes of emission and absorption of a Bogoliubov
excitation (a bogolon). Then using the Bloch-Gruneisen approach, we find the
finite-temperature resistivity of graphene and show that its principal behavior
is $\sim T^4$ in the limit of low temperatures and linear at high temperatures.
We show that bogolon-mediated scattering can surpass the acoustic
phonon-assisted relaxation. It can be controlled by the distance between the
layers and the condensate density, giving us additional degrees of freedom and
a useful tool to render electron mobility by the sample design and external
pump.
