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Paired states and Hamiltonian cycles in cubic bipartite planar graphs

OpenAI

OpenAI Mathopenai-math/Paired-states-and-Hamiltonian-cycles-in-cubic-bipartite-planar-graphsSep 24, 2026math.COAI-generatedscore 0 · 🔥 1 post

We prove Barnette's conjecture: every finite simple cubic bipartite planar 3-vertex-connected graph has a Hamiltonian cycle.

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A note on the proof of Barnette's conjecturearXiv.orgZhentao LiOct 21, 2026in the index

Barnette's conjecture states that every cubic 3-connected bipartite planar graph has a Hamiltonian cycle. We present a digested exposition of OpenAI's generated proof of Barnette's conjecture \cite{openai-barnette}.

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