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Packing Ferrers Shapes

Noga Alon·Miklós Bóna·Joel Spencer
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Abstract

Answering 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 $Θ(p(n)/ \log n).$

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BibTeXRIS

Noga Alon, Miklós Bóna, Joel Spencer. 1998-12-11. Packing Ferrers Shapes. https://arxiv.org/abs/math/9812075

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