Rook and Wilf equivalence of integer partitions

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Abstract
  • The subjects of rook equivalence and Wilf equivalence have both attracted considerable attention over the last half-century. In this paper we introduce a new notion of Wilf equivalence for integer partitions, and, using this notion, we prove that rook equivalence implies Wilf equivalence. We also prove that if we refine the notions of rook and Wilf equivalence in a natural way, then these two notions coincide. In Bloom and Saracino (2017) we prove that Wilf equivalence implies rook equivalence.
TitleRook and Wilf equivalence of integer partitions
CreatorBloom, Jonathan
Saracino, D.
PublisherEuropean Journal of Combinatorics
Academic DepartmentMathematics
DivisionNatural Sciences
OrganizationLafayette College
Date IssuedJune 2018
Date Available2020-06-06
TypeArticle
LanguageEnglish
Bibliographic CitationBloom, J. and D. Saracino (2018 Jun) "Rook and Wilf equivalence of integer partitions." European Journal of Combinatorics 71: 246-267.
Standard IdentifierHandle 10385/fx719m968
DOI 10.1016/j.ejc.2018.04.002
Permalinkhttp://hdl.handle.net/10385/fx719m968
Rights Statement In Copyright In Copyright
Rights HoldersElsevier Ltd.
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