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Bibliographic Details
Main Authors: Shao, Sihong, Wu, Yuxuan
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2504.20706
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Table of Contents:
  • We prove that every 2-connected, cubic, planar graph with faces of size at most 6 is Hamiltonian, and show that the 6-face condition is tight. Our results push the connectivity condition of the Barnette-Goodey conjecture to the weakest possible.