  We investigate the collective magnetoplasmon excitations in a quantum dot
containing finite number of electrons in the high magnetic field limit. We
consider the electrons in the lowest Landau level and neglect mixing between
the higher Landau levels. The dispersion relation of these edge modes are
estimated following the energy weighted sum-rule approach. In this finite size
system the edge magnetoplasmon modes have different multipolarities (or angular
momemtum l). Their dependence on the magnetic field and on the system size is
investigated. With increasing magnetic field, energy of these collective modes
decreases and in the bulk limit they become gapless. We also consider the
breathing mode of a dot in the presence of a strong magnetic field, and the
energy of this mode approaches the cyclotron frequency $\hbar \omega_{c}$.
