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

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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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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/