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arXiv · 0803.2699

A property of dominance of partitions

Mireille Bousquet-Mélou
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Abstract

Given an integer partition $\la=(\la_1, ..., \la_\ell)$ and an integer k, denote by $\la^{(k)}$ the sequence of length $\ell$ obtained by reordering the values $|\la_i-k|$ in non-increasing order. If $\la$ dominates $μ$ and has the same weight, then $\la^{(k)}$ dominates $μ^{(k)}$.

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Mireille Bousquet-Mélou. 2008-03-18. A property of dominance of partitions. https://arxiv.org/abs/0803.2699

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