A proof of the cycle double cover conjecture by OpenAI: An exposition

Sang-il Oum

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arXiv · 2607.16356

A proof of the cycle double cover conjecture by OpenAI: An exposition

Sang-il Oum

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Abstract

The cycle double cover conjecture states that every bridgeless graph has a list of cycles such that every edge is in exactly two of them. In July 2026, OpenAI announced a proof. This exposition presents the proof with slight modifications intended to make it more accessible.

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Sang-il Oum. 2026-08-01. A proof of the cycle double cover conjecture by OpenAI: An exposition. https://arxiv.org/abs/2607.16356

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