  The spatial distributions of the valence-electron density and the total
energy reliefs for water (or methanol) migration on the free surface of
graphene are obtained, by using the electron density functional and ab initio
pseudopotential methods. The hovering of molecule over the graphene plane is
found to locally change plane's conductivity. The estimate of energy costs
during the propagation of adsorbent molecules over the graphene surface
testifies to the graphene hydrophobicity.
