Geodesic
Combinatorics of trivalent ribbon graphs with two faces
Fundamentalʹnaâ i prikladnaâ matematika, Tome 13 (2007) no. 6, pp. 113-120.

Voir la notice de l'article provenant de la source Math-Net.Ru

In this article, the combinatorics of trivalent ribbon graphs (dessins d'enfants) with two faces is under consideration. 
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I. V. Artamkin. Combinatorics of trivalent ribbon graphs with two faces. Fundamentalʹnaâ i prikladnaâ matematika, Tome 13 (2007) no. 6, pp. 113-120. http://geodesic.mathdoc.fr/item/FPM_2007_13_6_a4/

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[2] Lando S. K., Zvonkin A. K., Graphs on Surfaces and Their Applications, Encyclopedia of Mathematical Sciences, 141, Springer, Berlin, 2004 | MR | Zbl