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arXiv · 2605.15039

A characterization of 4-connected graphs with no 6-wheel minor

Zijun Chen·Yuqi Xu·Weihua Yang
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Abstract

For each integer $n\geq 3$, let $W_n$ denote the wheel graph obtained by connecting a single vertex to all vertices of a cycle of length $n$. In particular, $W_6$ is obtained from the Petersen graph by contracting three edges incident with a common vertex. In this paper, we determine all $4$-connected graphs that do not contain $W_6$ as a minor.

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Zijun Chen, Yuqi Xu, Weihua Yang. 2026-05-14. A characterization of 4-connected graphs with no 6-wheel minor. https://arxiv.org/abs/2605.15039

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