Explicit formulas for a sequence of binary tree polynomials

    Theor. Comput. Sci., pp. 217-226, 2013.

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    Keywords:
    Haglund-Morse-Zabrocki conjecturepartition caseexplicit formulacomplete planar treecompositional caseMore(6+)

    Abstract:

    The W-ary tree corresponding to a word W=w"0w"1...w"k is the complete planar tree whose nodes at level i have out-degree w"i. Investigating some combinatorial aspects of the Shuffle conjecture (Haglund et al. (2005) [1]), Hicks recently discovered (Hicks (2012) [3]) a remarkable family of univariate polynomials associated to W-ary trees. ...More

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