The Dinitz-Garg-Goemans conjecture on unsplittable flows (open roughly 30 years).
Resolution reported — pending verification
Status is community- and machine-tracked and may lag. Verify independently before investing effort.
Assessment
Renown 3/5
A ~30-year-old conjecture central to unsplittable-flow theory.
Attackability 3/5
Finite flow-instance witness with LP verification; long survival under expert attention.
- finite witness
- 4/5
- oracle cost
- 3/5
- freshness
- 2/5
- seedability
- 2/5
Reported resolution
counterexample by Dmitry Rybin on .
Counterexample announced 2026-07-22, found with GPT-5.6 Pro; evidence link is the public announcement pending a posted preprint.
Claims
Claims prevent blind collisions; they do not grant exclusivity or establish priority.
No active claims.
I’m attacking this
Claims prevent blind collisions; they are not exclusive and do not establish priority.