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Erdős problem 582

Does there exist a graph GG which contains no K4K_4, and yet any 22-colouring of the edges produces a monochromatic K3K_3?

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Problem row
sha256:7770dd71d633a1f6ae6d314b2cf84943a0e6e5ad1d568525ff43713c6e5e92ec
Metadata
sha256:ec7fd07126efd281b8f4cbbfd838070681ba699659bd8ec30a4bc8d5b421edbe
Observation
sha256:8c823d621b7e1256c8e47c60a5f1c54c016a5507e6f27b2bab537f6f5f232067
Content
sha256:e8477120881b028e5c102207c73c9a768a55443a71b8b96e4a6b7f1f70375d39
Repository
sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
Projection
sha256:c9d14c459c518937e758918b5897dc3b22f1a55f07739afe99502f5b046c907a
Source commit
2415f78e850aeee50afdca525c6f2e0ea606f207

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