On monochromatic paths in m-coloured tournaments
Suppose the arcs of a tournament \(T_ n\) are coloured with m colours in such a way that no subtournament \(T_ 3\) has its arcs coloured with 3 distinct colours. The author shows that such a tournament \(T_ n\) must contain a vertex u that can be reached by a monochromatic path from every other vertex v.
scientific article; zbMATH DE number 4066924