Totally disconnected skew Young diagram
= Totally disconnected skew Young diagram
Under edge adjacency, a <skew Young diagram> is totally disconnected when every component has one cell. This means that no two cells share an edge. It is stronger than being a <horizontal strip>, which excludes repeated columns but permits adjacent cells in one row. The trivial-constituent criterion for a <skew representation of a symmetric group> concerns horizontal strips, not total disconnection in this sense.