We investigate the eigen energies of a magnetic quantum dot formed in graphene by using the inhomogeneous distributions of magnetic fields. The motivation of our study is to overcome the existing difficulties in the formation of quantum structures in graphene via electrostatic confinements. Strongly localized states on the magnetic quantum dot are observed in the quantum Hall region and can be understood by using magnetic edge states circulating either clockwise or counterclockwise along the boundary of the dot. The eigen energy spectra are shown to depend critically on the number of missing flux quanta in the magnetic quantum dot. The existence of localized magnetic edge states can be proven experimentally by measuring the two-terminal conductance of a small graphene conductor with a magnetic quantum dot formed in its center, which reflects resonant backscattering via the magnetic edge states. 

Keywords: Graphene, Quantum dot, Energy spectrum, Magnetic field