论文标题

存在一系列循环序列的最低度条件,其长度有所不同

Minimum degree conditions for the existence of a sequence of cycles whose lengths differ by one or two

论文作者

Chiba, Shuya, Ota, Katsuhiro, Yamashita, Tomoki

论文摘要

Gao,Huo,Liu and Ma(2019)证明了连接指定的两个顶点的路径的存在,其长度不同。通过使用此结果,他们解决了由于Thomassen(1983)而引起的两个著名猜想。在本文中,我们改善了他们的结果,并获得了Bondy和Vince(1998)的结果的概括。

Gao, Huo, Liu and Ma (2019) proved a result on the existence of paths connecting specified two vertices whose lengths differ by one or two. By using this result, they settled two famous conjectures due to Thomassen (1983). In this paper, we improve their result, and obtain a generalization of a result of Bondy and Vince (1998).

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