  We show that gapped Graphene, with a local constraint that current arising
from the two valley fermions are exactly equal, shows a non-BCS type
superconductivity. Unlike the conventional mechanisms, this superconductivity
phenomenon does not require any pairing. We estimate the critical temperature
for superconducting-to-normal transition via Berezinskii-Kosterlitz-Thouless
mechanism, and find that it is proportional to the gap.
