Geodesic
First-level rotations on the set of plane planted trees
Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial methods. Part XXII, Tome 411 (2013), pp. 178-190 
I. A. Pushkarev; V. A. Byzov. First-level rotations on the set of plane planted trees. Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial methods. Part XXII, Tome 411 (2013), pp. 178-190. http://geodesic.mathdoc.fr/item/ZNSL_2013_411_a10/
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

In this paper, we consider a family of transformations of plane planted trees including as a special case the transformation introduced by R. Donaghey and studied by the authors earlier.

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[7] I. A. Pushkarëv, V. A. Byzov, “Preobrazovanie Donakhyu: elementarnyi podkhod”, Zap. nauchn. semin. POMI, 411, 2013, 148–177