C. Banderier, P. Flajolet, G. Schaeffer, and M. Soria, Random maps, coalescing saddles, singularity analysis, and Airy phenomena, Random Structures and Algorithms, vol.15, issue.3, pp.194-246, 2001.
DOI : 10.1002/rsa.10021
URL : https://hal.archives-ouvertes.fr/inria-00108014

R. J. Baxter, Dichromatic Polynomials and Potts Models Summed Over Rooted Maps, Annals of Combinatorics, vol.5, issue.1, pp.17-35, 2001.
DOI : 10.1007/PL00001290
URL : http://arxiv.org/abs/cond-mat/0011400

O. Bernardi and N. Bonichon, Intervals in Catalan lattices and realizers of triangulations, Journal of Combinatorial Theory, Series A, vol.116, issue.1, pp.55-75, 2009.
DOI : 10.1016/j.jcta.2008.05.005

N. Bonichon, A bijection between realizers of maximal plane graphs and pairs of non-crossing Dyck paths, Discrete Mathematics, vol.298, issue.1-3, pp.104-114, 2005.
DOI : 10.1016/j.disc.2004.01.021
URL : https://hal.archives-ouvertes.fr/hal-00307596

S. Felsner, E. Fusy, M. Noy, and D. Orden, Bijections for Baxter families and related objects, Journal of Combinatorial Theory, Series A, vol.118, issue.3, 2009.
DOI : 10.1016/j.jcta.2010.03.017
URL : https://hal.archives-ouvertes.fr/hal-00714699

S. Felsner and F. Zickfeld, On the number of planar orientations with prescribed degrees, Electron, J. Combin, vol.15, pp.77-118, 2008.

H. De-fraysseix, P. Ossona, P. De-mendez, and . Rosenstiehl, Bipolar orientations revisited, Discrete Applied Mathematics, vol.56, issue.2-3, pp.157-179, 1995.
DOI : 10.1016/0166-218X(94)00085-R
URL : https://hal.archives-ouvertes.fr/hal-00261327

E. Fusy, D. Poulalhon, and G. Schaeffer, Bijective counting of plane bipolar orientations, Proceedings of Eurocomb'07, pp.283-287, 2007.
DOI : 10.1016/j.endm.2007.07.049
URL : https://hal.archives-ouvertes.fr/hal-00160430

P. Henrici, Applied and Computational Complex Analysis, 1991.

E. L. Ince, Ordinary Differential Equations, The Mathematical Gazette, vol.18, issue.231, 1926.
DOI : 10.2307/3605524

R. C. Mullin, On the enumeration of tree-rooted maps, Canad, J. Math, vol.19, pp.174-183, 1967.

R. Mullin and P. Schellenberg, The enumeration of c-nets via quadrangulations, Journal of Combinatorial Theory, vol.4, issue.3, pp.259-276, 1968.
DOI : 10.1016/S0021-9800(68)80007-9

A. M. Odlyzko, Asymptotic enumeration methods, Handbook of Combinatorics, pp.1063-1229, 1995.

W. T. Tutte, A census of planar triangulations, Canad, J. Math, vol.14, pp.21-38, 1962.