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On Cycles Containing a Given Arc in Regular Multipartite Tournaments

作者:LinQiangPAN; KeMinZHANG多重分裂循环下限集合曲线顶点几何

摘要: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 κ partite sets for κ=4,5,…,n. Our result, in a sense, generalizes a theorem due to Alspach.

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数学学报

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