Pan, Lin Qiang et Zhang, Ke Min, On Cycles Containing a Given Arc in Regular Multipartite Tournaments, Acta mathematica Sinica. English series (Print) , 20(2), 2004, pp. 379-384
In this paper we prove that if T is a regular n-partite tournament with n 4, then each arc of T lies on a cycle whose vertices are from exactly k partite sets for k = 4, 5, . . . ,n. Our result, in a sense, generalizes a theorem due to Alspach.