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Bibliographic Details
Main Authors: Chen, Zijun, Xu, Yuqi, Yang, Weihua
Format: Preprint
Published: 2026
Subjects:
Online Access:https://arxiv.org/abs/2605.15039
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Table of Contents:
  • 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.