We give a tropical interpretation of Hurwitz numbers extending the one discovered in [CJM].In addition we treat a generalization of Hurwitz numbers for surfaces with boundary which we call open Hurwitz numbers.
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Benoît Bertrand, Erwan Brugallé, Grigory Mikhalkin, Tropical Open Hurwitz Numbers. Rend. Sem. Mat. Univ. Padova 125 (2011), pp. 157–171DOI 10.4171/RSMUP/125-10