In this paper we prove that if T is a regular n-partite tournament with n(?)4,then eacharc of T lies on a cycle whose vertices are from exactly k partite sets for k=4,5,…,n.Our result,ina sense,generalizes a theorem due to Alspach.
机构:
Univ London Royal Holloway & Bedford New Coll, Dept Comp Sci, Egham TW20 0EX, Surrey, EnglandUniv London Royal Holloway & Bedford New Coll, Dept Comp Sci, Egham TW20 0EX, Surrey, England