  Graphane is obtained by perfectly hydrogenating graphene. There exists an
intermediate material, partially hydrogenated graphene (which we call
\textit{hydrographene}), interpolating from pure graphene to pure graphane. It
has various intriguing electronic and magnetic properties. We investigate a
metal-insulator transition, employing a quantum-site percolation model together
with a graph theoretical approach. Hydrographene is an exceptional case in
which electronic properties cannot be determined solely by the density of
states at the Fermi energy. Though there are plenty of zero energy state in
wide range of hydrogenation density, most of them are insulating states. We
also demonstrate that it shows a bulk ferromagnetic property based on the Lieb
theory.
