Abstract-In this paper, we present the use of mono-layer graphene saturable absorbers to produce Q-switched and Qswitched mode-locked operation of Yb and Yb:Er-doped phosphate glass waveguide lasers, respectively. For the 1535-nmwavelength Yb:Er laser, the Q-switched pulses have repetition rates up to 526 kHz and contain mode-locked pulses at a repetition frequency of 6.8 GHz. The measured 0.44 nm bandwidth should allow pulses as short as ~6ps to be generated. Maximum average output powers of 27 mW are obtained at a slope efficiency of 5% in this mode of operation. For the 1057-nm-wavelength Yb laser, Q-switched pulses are obtained with a repetition rate of up to 833 kHz and a maximum average output power of 21 mW. The pulse duration is found to decrease from 292 ns to 140 ns and the pulse energy increase from 17 nJ to 27 nJ as the incident pump power increases from 220 to 652 mW.