English

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

Combinatorics 2020-08-25 v1

Abstract

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).

Keywords

Cite

@article{arxiv.2008.09783,
  title  = {Minimum degree conditions for the existence of a sequence of cycles whose lengths differ by one or two},
  author = {Shuya Chiba and Katsuhiro Ota and Tomoki Yamashita},
  journal= {arXiv preprint arXiv:2008.09783},
  year   = {2020}
}

Comments

19 pages, 4 figures