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Erdős problem 750

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Let f(m)f(m) be some function such that f(m)→∞f(m)\to \infty as m→∞m\to \infty. Does there exist a graph GG of infinite chromatic number such that every subgraph on mm vertices contains an independent set of size at least m2−f(m)\frac{m}{2}-f(m)?

Erdős Problems records this as proved (Lean).

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  1. Sourceerdos-problems
  2. StatementRetained
  3. Formal3 retained
  4. Resolutionproved (Lean)
  5. WorkNone recorded
  6. DecisionNone here
  7. The questionNot reached
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Graph Theory275Chromatic Number61
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