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The ac small-signal conductance of graphene nanoribbons (GNRs) was investigated using non-equilibrium Green's function. Simulation results of ac conductance of GNRs with and without the edge effect are presented. The edge effect and the influence of a slight change in width have great impacts on the ac conductance of GNRs. The ac conductance of GNRs presents oscillatory response with frequency. At low frequencies, a metallic GNR displays an inductive behavior, whereas a semi-conductive GNR displays a capacitive behavior.