Elsevier

European Journal of Combinatorics

Volume 76, February 2019, Pages 199-207
European Journal of Combinatorics

On criteria for rook equivalence of Ferrers boards

https://doi.org/10.1016/j.ejc.2018.08.006Get rights and content
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Abstract

In Bloom and Saracino (2018) 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 nested sequences of L’s.

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