Cycles with a given number of vertices from each partite set in regular multipartite tournaments
If is a vertex of a digraph , then we denote by and the outdegree and the indegree of , respectively. A digraph is called regular, if there is a number such that for all vertices of . A -partite tournament is an orientation of a complete -partite graph. There are many results about directed cycles of a given length or of directed cycles with vertices from a given number of partite sets. The idea is now to combine the two properties. In this article, we examine in particular, whether...