We present a graphene-based holmium-doped fiber laser incorporating a Martinez-style compressor which enables precise and continuous dispersion control of the cavity. Solitonic operation of the laser for a wide range of net cavity dispersion values is achieved without significantly altering the repetition frequency. The compressor also provides the possibility to introduce additional spectral filtering - stable mode-locking operation in the 2049-2093 nm wavelength span is presented.
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