  We study Josephson effect in graphene superconductor- barrier- superconductor
junctions with short and wide barriers of thickness $d$ and width $L$, which
can be created by applying a gate voltage $V_0$ across the barrier region. We
show that Josephson current in such graphene junctions, in complete contrast to
their conventional counterparts, is an oscillatory function of both the barrier
width $d$ and the applied gate voltage $V_0$. We also demonstrate that in the
thin barrier limit, where $V_0 \to \infty$ and $d \to 0$ keeping $V_0 d$
finite, such an oscillatory behavior can be understood in terms of transmission
resonance of Dirac-Bogoliubov-de Gennes quasiparticles in superconducting
graphene. We discuss experimental relevance of our work.
