κ-强连通竞赛图外弧4泛圈点的研究

Out-arcs 4-pancyclic Vertices in κ-strong Tournaments

2006年,Feng等人证明了每个k-强连通竞赛图至少包含k+1个外弧4泛圈点.2010年,郭巧萍等人证明了每个k-强连通竞赛图至少包含k+2个外弧5泛圈点.在这篇文章中,我们将对k-强连通竞赛图的外弧4泛圈点做进一步的研究.

In 2006, Feng et al. gave the result that every L-strong tournament contains at least k ＋ 1 out-arc 4-pancyclic vertices, and Guo Qiaoping et al. proved that every k-strong tournament contains at least k ＋ 2 distinct vertices whose out-arcs are 5-pancyclic in 2010. In this paper, we will make further study on out-arcs 4-pancyclic vertices in k-strong tournaments.