  Hole-conjugate states of the fractional quantum Hall effect host
counter-propagating edge channels which are thought to exchange charge and
energy. These exchanges have been the subject of extensive theoretical and
experimental works; in particular, it is yet unclear if the presence of integer
quantum Hall edge channels stemming from fully filled Landau levels affects
heat equilibration along the edge. In this letter, we present heat transport
measurements in quantum Hall states of graphene demonstrating that the integer
channels can strongly equilibrate with the fractional ones, leading to markedly
different regimes of quantized heat transport that depend on edge
electrostatics. Our results allow for a better comprehension of the complex
edge physics in the fractional quantum Hall regime.
