  We analyze various possible superconducting pairing states and their relative
stabilities in lightly doped graphene. We show that, when inter-sublattice
electron-electron attractive interaction dominates and Fermi level is close to
Dirac points, the system will favor intra-valley spin-triplet $p+\mathrm{i}p$
pairing state. Based on the novel pairing state, we further propose a scheme
for doing topological quantum computation in graphene by engineering local
strain fields and external magnetic fields.
