  We study the interaction between graphene and a single-molecule-magnet,
[Fe4(L)2(dpm)6]. Focusing on the closest Iron ion in a hollow position with
respect to the graphene sheet, we derive a channel selective tunneling
Hamiltonian, that couples different d orbitals of the Iron atom to precise
independent combinations of sublattice and valley degrees of freedom of the
electrons in graphene. When looking at the spin-spin interaction between the
molecule and the graphene electrons, close to the Dirac point the channel
selectivity results in a channel decoupling of the Kondo interaction, with two
almost independent Kondo systems weakly interacting among themselves. The
formation of magnetic moments and the development of a full Kondo effect
depends on the charge state of the graphene layer.
