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Erdős problem 628

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Let GG be a graph with chromatic number kk containing no KkK_k. If a,b≥2a,b\geq 2 and a+b=k+1a+b=k+1 then must there exist two disjoint subgraphs of GG with chromatic numbers ≥a\geq a and ≥b\geq b respectively?

Erdős Problems records this as falsifiable.

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  1. Sourceerdos-problems
  2. StatementRetained
  3. Formal4 retained
  4. Resolutionfalsifiable
  5. WorkNone recorded
  6. DecisionNone here
  7. The questionNot reached
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Graph Theory275Chromatic Number61
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