Packing Ferrers Shapes

dc.creatorAlon, Noga
dc.creatorBóna, Miklós
dc.creatorSpencer, Joel
dc.date1998-12-11
dc.date.accessioned2026-07-07T05:27:13Z
dc.date.available2026-07-07T05:27:13Z
dc.descriptionAnswering a question of Wilf, we show that if $n$ is sufficiently large, then one cannot cover an $n \times p(n)$ rectangle using each of the $p(n)$ distinct Ferrers shapes of size $n$ exactly once. Moreover, the maximum number of pairwise distinct, non-overlapping Ferrers shapes that can be packed in such a rectangle is only $Θ(p(n)/ \log n).$
dc.description7 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/math/9812075
dc.identifierhttp://arxiv.org/abs/math/9812075
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77839
dc.subjectCombinatorics
dc.subject05B45, 05A17
dc.titlePacking Ferrers Shapes
dc.typetext

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