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On trees covering chains or stars

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In 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.” We also discuss some applications of this result that are related to the arithmetical theory of torsion on curves.

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Authors and Affiliations

  1. Department of Mathematics, Ben Gurion University of the Negev, P.O.B. 653, Beer Sheva, 84105, Israel

    F. B. Pakovich

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  1. F. B. Pakovich
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Correspondence to F. B. Pakovich.

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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 13, No. 6, pp. 207–215, 2007.

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Pakovich, F.B. On trees covering chains or stars. J Math Sci 158, 148–154 (2009). https://doi.org/10.1007/s10958-009-9370-x

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