AI-Assisted Solution to Hypergraph Ramsey Problem in Combinatorics
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in-silico
2mo ago· 6 min readenNews
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Summary
The article discusses a solved mathematical problem in combinatorics involving hypergraphs, where researchers used GPT-5.4 Pro to find a solution to a Ramsey-style problem. The problem involves constructing hypergraphs as large as possible that avoid a specific property that is easy to check but difficult to find. The solution was confirmed by problem contributor Will Brian and will be published, with the AI's approach being described as exciting and previously thought to be hard to work out.
Key quotes
· 4 pulledThis problem has been solved! A solution was first elicited by Kevin Barreto and Liam Price, using GPT-5.4 Pro.
This solution was confirmed by problem contributor Will Brian, and will be written up for publication.
Brian's comments: 'This is an exciting solution to a problem I find very interesting. I had previously wondered if the AI's approach might be possible, but it seemed hard to work out. Now I see that it wor'
Construct hypergraphs as large as possible that do not have a certain easy-to-check, difficult-to-find property.
Construct hypergraphs as large as possible that do not have a certain easy-to-check, difficult-to-find property.
