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Erdős Problem #1008

GPT-5 found that the problem had already been solved in the literature (29 Sep 2025).

問題
Erdős problem #1008 (graph theory, cycles); current status: proved (Lean)
貢献
GPT-5 · Literature search
検証
Listed in Tao's wiki
経緯
First AI contribution 2025-09-29 · wiki data as of 2026-06-30
出典
Problem page (erdosproblems.com)Tao's AI-contributions wiki
既知
文献Per Tao's AI-contributions wiki

The problem

Does every graph with mm edges contain a subgraph with ≫m2/3\gg m^{2/3} edges which contains no C4C_4?

Statement quoted from erdosproblems.com/1008, maintained by Thomas Bloom. Original source: [Er71]. Current status there: proved (Lean).

AI contributions

As recorded in Terence Tao's wiki AI contributions to Erdős problems (data as of 30 Jun 2026). 🟢 full, 🟡 partial, ⚪ unverified, 🔴 incorrect.

Date Kind AI systems Outcome
29 Sep, 2025 Literature search GPT-5 🟢 Full solution found

Caveats

The wiki's classifications are provisional and are not a benchmark. Many Erdős problems have never had a thorough literature review, so a result that looks new may later turn out to be known; some problems were also stated ambiguously or incorrectly. See the problem page for the full discussion.

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