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arXiv · 1904.03818

Minimum degree conditions for the existence of cycles of all lengths modulo $k$ in graphs

Shuya Chiba·Tomoki Yamashita
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Abstract

Thomassen, in 1983, conjectured that for a positive integer $k$, every $2$-connected non-bipartite graph of minimum degree at least $k + 1$ contains cycles of all lengths modulo $k$. In this paper, we settle this conjecture affirmatively.

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Shuya Chiba, Tomoki Yamashita. 2019-04-08. Minimum degree conditions for the existence of cycles of all lengths modulo $k$ in graphs. https://arxiv.org/abs/1904.03818

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