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Erdős problem 1175

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Let κ\kappa be an uncountable cardinal. Must there exist a cardinal λ\lambda such that every graph with chromatic number λ\lambda contains a triangle-free subgraph with chromatic number κ\kappa?

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Technical detailsExact roots, source, and retained record identifiers

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Problem row
sha256:e08f2fc13bd75097b71db9989de58362ca744d9dd9565bd1b832da1eeb25c62d
Metadata
sha256:40967be0019453a17197f942e2c7e1efeadbb4957abedacef594892689b6fe2d
Observation
sha256:9c8326e865b6017b103af7611c852a06776d81964979b8ab5a1b800cd550dff6
Content
sha256:88fbce9b76907ca92d74fcf709d3545b7a666f0c2ee9ea834819c6f4633e7de0
Repository
sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
Projection
sha256:a4a96441668a9f8b33afbcb3f696a2639f5fae145f36ddc063d7f67d5fb87ce8
Source commit
36c6d0fef71a3fec84d9dcd5eeca4e22e378f7cb
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