Reconstructing Partitions from their Multisets of $k$-Minors

Pakawut Jiradilok

For non-negative integers $n$ and $k$ with $n\ge k$, a {\em $k$-minor} of a partition $\lambda =[{\lambda }_1,{\lambda }_2,\dots ]$ of $n$ is a partition $\mu =[{\mu }_1,{\mu }_2,\dots ]$ of $n-k$ such that $μ_i \…