An Involution Principle-Free Bijective Proof of Stanley's Hook-Content Formula - Inria - Institut national de recherche en sciences et technologies du numérique
Journal Articles Discrete Mathematics and Theoretical Computer Science Year : 1998

An Involution Principle-Free Bijective Proof of Stanley's Hook-Content Formula

Abstract

A bijective proof for Stanley's hook-content formula for the generating function for column-strict reverse plane partitions of a given shape is given that does not involve the involution principle of Garsia and Milne. It is based on the Hillman-Grassl algorithm and Schützenberger's \emphjeu de taquin.
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Dates and versions

hal-00958904 , version 1 (13-03-2014)

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Christian Krattenthaler. An Involution Principle-Free Bijective Proof of Stanley's Hook-Content Formula. Discrete Mathematics and Theoretical Computer Science, 1998, Vol. 3 no. 1 (1), pp.11-32. ⟨10.46298/dmtcs.258⟩. ⟨hal-00958904⟩

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