Yet another generalization of Postnikov's hook length formula for binary trees

Mathematics – Combinatorics

Scientific paper

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4 pages

Scientific paper

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 $h_v$ 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.

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