4 problems

The Wide Partition Conjecture for free matroids. An integer partition $\lambda$ is wide if and only if there exists a tableau of shape $\lambda$ such that (1) for every $i$, the en…

Let $\lambda$ be a partition, let $\delta$ be the chromatic difference sequence of the graph $G_\lambda$, and let $\mu=\delta'$ be the conjugate partition, obtained by transposing…

Let $\lambda$ be a partition and let $\mu$ be a partition of the same number of boxes. A Latin tableau of shape $\lambda$ and type $\mu$ is a filling of the Young diagram of…

Chow–Fan–Goemans–Vondrák conjecture. A Young diagram $\lambda$ is wide if and only if there exists a Latin tableau of shape $\lambda$.