Google resolved a 50+ year open problem in graph theory, algorithms, and combinatorial optimization after nearly three years of sustained effort, obtaining a first polynomial-time algorithm for the Győri–Lovász theorem in late April 2026.
Published
Signal category
Research & Knowledge
Quote
“Thrilled to share a result resolving a fundamental 50+ year open problem in graph theory, algorithms, and combinatorial optimization (video below)—after nearly three years of sustained effort. The main result was obtained in late April 2026; since then, we have focused on polishing the proof and exposition.”
— Mohammad Hajiaghayi|Google team
Company
- Industry
- Software Development
- Location
- Mountain View, US
- Company size
- 296,721 employees
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