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An Explicit Formula Enumerating the Finely Bounded Trees Using Young Tableaux

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Abstract

Most of the tree enumeration formulas are generating functions or recurrence formulas. In this article, we show the explicit formula for the number of unlabeled rooted trees with a certain condition. The formula is described in terms of Young tableaux.

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Acknowledgements

The author would like to thank Professor Norio Konno for his many variable comments and warm encouragement. She also wish to thank Professor Hideaki Morita for his variable comments.

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  1. Department of Mathematics, Engineering Science, Yokohama National University, 79-5 Tokiwadai, Hodogaya, Yokohama, 240-8501, Japan

    Ayaka Ishikawa

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  1. Ayaka Ishikawa
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Correspondence to Ayaka Ishikawa.

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Ishikawa, A. An Explicit Formula Enumerating the Finely Bounded Trees Using Young Tableaux. Graphs and Combinatorics 36, 607–615 (2020). https://doi.org/10.1007/s00373-020-02138-z

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  • DOI: https://doi.org/10.1007/s00373-020-02138-z

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