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Composition of Plane Trees

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Abstract

The connections recently established between combinatorial bicolored plane trees and Shabat polynomials show that the world of plane trees is incredibly rich with different mathematical structures. In this article we use Shabat polynomials to introduce a new operation, that of a composition, for combinatorial bicolored plane trees. The composition may be considered as a generalized symmetry.

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References

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Authors and Affiliations

  1. Mathematics Department, Moscow State University, Moscow, Russia

    Nikolai Adrianov

  2. LaBRI, Université Bordeaux I, 351 cours da la Libération, F-33405, Talence cedex, France

    Alexander Zvonkin

Authors
  1. Nikolai Adrianov
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  2. Alexander Zvonkin
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Adrianov, N., Zvonkin, A. Composition of Plane Trees. Acta Applicandae Mathematicae 52, 239–245 (1998). https://doi.org/10.1023/A:1005971411271

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  • DOI: https://doi.org/10.1023/A:1005971411271

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