2 problems

Let $\sigma$ be a nonempty permutation, let $\rho\oplus\sigma$ denote their direct sum, and let $F$ be a traversable Ferrers board. For a traversal $\tau$ of $F$, define the $F$-as…

Let $K_{a,b}$ be a complete bipartite graph, and let $B$ be a Ferrers board whose rook equivalence graph is $K_{a,b}$. Complete bipartite rook equivalence conjecture. Then $a=b=1$.…