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

Shuya Chiba, Katsuhiro Ota, Tomoki Yamashita · Journal of Graph Theory · 2023

Abstract Gao, Huo, Liu, and Ma 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. In this paper, we improve their result, and obtain a generalization of a result of Bondy and Vince.

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