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Hook Length Formulas for Partitions and Plane Trees
Yet another generalization of
Postnikov's hook length formula for binary trees
By Guo-Niu Han
[download the paper: .ps -
.pdf, 4 pages, 2008/04/07]
Abstract.
We discover another one-parameter generalization of Postnikov's hook
length formula for binary trees.
The particularity of our formula is that the hook length hv
appears as
an exponent. As an application, we derive another simple hook length formula
for binary trees when the underlying parameter takes the value 1/2.
The Main Theorem is the following hook length formula for binary trees:
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Last update: 2008/04/08