2 problems

A regular bipartite tournament is an orientation of the complete balanced bipartite graph $K_{2n,2n}$ in which every vertex has indegree and outdegree $n$. A Hamilton decomposition…

Let $D$ be a $k$-regular bipartite tournament, where $k$ is an integer greater than $2$, and let $u$ and $v$ be two specified vertices of $D$. Let $F_{4k}$ and the other specified…