A multivariate hook formula for labelled trees

Abstract

Several hook summation formulae for binary trees have appeared recently in the literature. In this paper we present an analogous formula for unordered increasing trees of size r, which involves r parameters. The righthand side can be written nicely as a product of linear factors. We study two specializations of this new formula, including Cayley’s… (More)
DOI: 10.1016/j.jcta.2013.01.014

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Cite this paper

@article{Fray2013AMH, title={A multivariate hook formula for labelled trees}, author={Valentin F{\'e}ray and Ian P. Goulden}, journal={J. Comb. Theory, Ser. A}, year={2013}, volume={120}, pages={944-959} }