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arXiv · 1808.04221

On criteria for rook equivalence of Ferrers boards

Jonathan Bloom·Dan Saracino
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Abstract

In [2] we introduced a new notion of Wilf equivalence of integer partitions and proved that rook equivalence implies Wilf equivalence. In the present paper we prove the converse and thereby establish a new criterion for rook equivalence. We also refine two of the standard criteria for rook equivalence and establish another new one involving what we call \emph{nested sequences of L's}.

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Jonathan Bloom, Dan Saracino. 2018-08-13. On criteria for rook equivalence of Ferrers boards. https://arxiv.org/abs/1808.04221

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