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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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Christian Krattenthaler. An Involution Principle-Free Bijective Proof of Stanley's Hook-Content Formula. Discrete Mathematics and Theoretical Computer Science, DMTCS, 1998, 3 (1), pp.11-32. ⟨hal-00958904⟩

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