2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/145915In this paper, in the context of the ``Dessins d'enfants'' theory, we give a combinatorial criterion for a plane tree to cover a tree from the classes of "chains" or "stars''. Besides, we discuss some applications of this result which are related to the arithmetical theory of torsion on curves.published versionAlgebraic GeometryCombinatoricsOn trees covering chains or starstext