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PreprintarXiv licencearXiv

Some Early Results by Tutte Regarding the Cycle Double Cover Conjecture in 1948

Abstract

OpenAI recently announced a proof of the Cycle Double Cover (CDC) Conjecture. Most media reports have characterized it as a 50-year-old open problem. In reality, according to a 1987 letter from Tutte to Fleischner, the Cycle Double Cover Problem has been open for at least 80 years. Two early results regarding the CDC conjecture were established in one of Tutte's 1949 publications.

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BibTeX
@misc{zhang2026some,
  title = {{Some Early Results by Tutte Regarding the Cycle Double Cover Conjecture in 1948}},
  author = {Cun-Quan Zhang},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.10618},
  eprint = {2609.10618},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.10618},
}
RIS
TY  - UNPB
TI  - Some Early Results by Tutte Regarding the Cycle Double Cover Conjecture in 1948
AU  - Cun-Quan Zhang
PY  - 2026
DA  - 2026/09/08
PB  - arXiv
DO  - 10.48550/arxiv.2609.10618
UR  - https://arxiv.org/abs/2609.10618
AB  - OpenAI recently announced a proof of the Cycle Double Cover (CDC) Conjecture. Most media reports have characterized it as a 50-year-old open problem. In reality, according to a 1987 letter from Tutte to Fleischner, the Cycle Double Cover Problem has been open for at least 80 years. Two early results regarding the CDC conjecture were established in one of Tutte's 1949 publications.
ER  -