The magnetic field and temperature dependence of the resistance of low-stage acceptor graphite fiber intercalation compounds have been investigated at low temperature. The magnetoresistance curves are well described by the weak-localization theory in two-dimensional disordered systems. From the temperature and field dependence of the magnetoresistance, values of the temperature-dependent inelastic scattering time are obtained. It is shown that both hole-hole and hole-phonon scattering determine the inelastic lifetime of the conduction carriers. The contributions from the weak localization and Coulomb interaction effects to the logarithmic temperature dependence of the resistance have been separated.