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AI solves 20 year old conjecture in graph theory

Summary

Researchers proved that a 10-line greedy algorithm is optimal for semi-streaming matching, using the Lean proof assistant for formal verification. This solves a long-standing conjecture and demonstrates AI's role in mathematical discovery.

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AI solves 20 year old conjecture in graph theory
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a 10-line algorithm is optimal for semi-streaming

arxiv, lean, ai methodology and use below

sepehr assadi, @mangooqwq, and i recently presented a proof that the greedy algorithm achieves the optimal approximation ratio for semi-streaming matching https://t.co/jVGP3NF5K6

Key points and analysis

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Key points

  • A 20-year-old graph theory conjecture is solved: greedy algorithm is optimal for semi-streaming matching.
  • The proof involves Sepehr Assadi, @mangooqwq, and another researcher.
  • The Lean proof assistant was used for formal verification.
  • The optimal algorithm is simple, consisting of just 10 lines.

Highlights and analysis are generated automatically and may contain errors. Check the original source.