A 30-year graph theory conjecture falls to a GPT-5.6-assisted counterexample

code_star · x · 2026-07-23

A 30-year-old graph theory conjecture, the Dinitz-Garg-Goemans conjecture, has been shown false.

The cited counterexample has a fractional flow cost of 58, while any unsplittable flow with capacity violation ≤15 must cost at least 60. The poster also notes that the counterexample was found in a chat with GPT-5.6 Pro, which adds a fun AI-assisted angle to the result.

Related event: GPT-5.6 and Other Models Claim Major Math Breakthroughs(8 posts)→

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