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Sang-il Oum (엄상일), A proof of the cycle double cover conjecture by OpenAI

July 16 Thursday @ 4:30 PM - 5:30 PM KST

Room B332, IBS (기초과학연구원)

Speaker

Sang-il Oum (엄상일)
IBS Discrete Mathematics Group
https://sangil.dimag.kr/

The cycle double cover conjecture (CDC) claims that every graph without cut-edges has a list of cycles such that every edge appears exactly twice in the list. This conjecture was proposed in 1970s by several mathematicians independently, including Tutte, Seymour, and Szekeres.

On July 10, 2026, OpenAI released a proof found by its ChatGPT 5.6 Sol Ultra. I will explain a slightly modified proof, with the aim of making it mostly accessible to undergraduate students.

Details

Venue

Organizer

IBS 이산수학그룹 Discrete Mathematics Group
기초과학연구원 수리및계산과학연구단 이산수학그룹
대전 유성구 엑스포로 55 (우) 34126
IBS Discrete Mathematics Group (DIMAG)
Institute for Basic Science (IBS)
55 Expo-ro Yuseong-gu Daejeon 34126 South Korea
E-mail: dimag@ibs.re.kr, Fax: +82-42-878-9209
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