Problem detail · source-aware
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Erdos and Hajnal asked whether $h_r(G) = \max\{\chi(H) : H \subseteq G,\ \mathrm{girth}(H) \ge r\}$ tends to infinity as $\chi(G)$ does, for every fixed $r \ge 4$. It does in every fixed polynomial edge-density regime.
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The declaration says ChatGPT was used for ideation and formalization during preparation, with the author responsible for the mathematics. Part of the same series of Erdos-problem resolutions in this catalog.
Provider: OpenAI · Prompt public: unknown · Independence: unknown
Single-author arXiv preprint; not yet peer-reviewed.
Correctness: unknown · statement fidelity: unaudited · peer review: none
in polynomial edge-density regimes; the general question remains open
Source-reported tools: argument.
Independent: unknown · difference confidence: 0
VibeMath has not independently audited the mathematical statement, proof, or novelty claim.