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We prove, in a purely combinatorial way, the spectral curve topological recursion for the problem of enumeration of bi-colored maps, which are dual objects to dessins d'enfant.
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S. Lando, A. Zvonkin, Graphs on Surfaces and Their Applications, Encyclopaedia of Mathematical Sciences: Lower-Dimensional Topology II 141, Springer-Verlag (2004)
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2009
Later among the works it cites.
O. Bernardi, M. Bousquet-Mélou, Counting colored planar maps: algebraicity results, Journal of Combinatorial Theory - Series B, Vol 101(1), pp 315-377 (2011)
2011
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2014
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