  We suggest a way of confining quasiparticles by an external potential in a
small region of a graphene strip. Transversal electron motion plays a crucial
role in this confinement. Properties of thus obtained graphene quantum dots are
investigated theoretically for different types of the boundary conditions at
the edges of the strip. The (quasi)bound states exist in all systems
considered. At the same time, the dependence of the conductance on the gate
voltage carries an information about the shape of the edges.
