  We calculate the contribution of unscreened and screened scalar and vector
potential electron acoustic phonon coupling to resistivity in disordered
graphene through Keldysh Greens function method within the diffusive limit. We
obtain analytical results in the asymptotic limits of clean and strong
impurities for both DP and VP coupling, which is in observed to be in good
agreement with the resistivity behavior in these limits. We find that the
complete numerical results approach the analytical result in the extreme
limits, but give different temperature dependencies in between these limits.
The graphene resistivity has been investigated as functions of temperature,
mean free path and carrier density. We also evaluated the screened behavior in
the Thomas Fermi and Random phase approximation dielectric function and
obtained the temperature power exponents. We find that in the absence of
screening when the electronic disorder is less than the critical disoeder
limit, the two coupling mechanisms are affected differently and the relaxation
rate associated with the VP coupling is suppressed by disorder as compared to
the DP coupling, and the DP coupling is enhanced by disorder.
