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Hook length polynomials for plane forests of a certain type

Fu Liu
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Abstract

The original motivation for study for hook length polynomials was to find a combinatorial proof for a hook length formula for binary trees given by Postnikov, as well as a proof for a hook length polynomial formula conjectured by Lascoux. In this paper, we define the hook length polynomial for plane forests of a given degree sequence type and show it can be factored into a product of linear forms. Some other enumerative results on forests are also given.

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Fu Liu. 2005-11-02. Hook length polynomials for plane forests of a certain type. https://arxiv.org/abs/math/0511055

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