In this paper we prove that if T is a regular n-partite tournament with n≥>6, then each arc of T lies on a k-cycle for k=4,5,…,n. Our result generalizes theorems due to Alspach and Guo respectively.
文摘In this paper we prove that if T is a regular n-partite tournament with n≥>6, then each arc of T lies on a k-cycle for k=4,5,…,n. Our result generalizes theorems due to Alspach and Guo respectively.