Infinite families of non-Cayley vertex-transitive tournaments Original Research Article

In this work is proven the existence of non-Cayley vertex-transitive tournaments of order image, for each prime image and image, and an explicit construction is given. These tournaments are special cases of image-metacirculant digraphs, and have the same automorphism group as the first non-Cayley vertex-transitive digraphs of order image, given by Marušič in 1985. Moreover, from these tournaments, new non-Cayley vertex-transitive tournaments that realise many more degrees are constructed.