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Erdős problem 75

Is there a graph of chromatic number ℵ_ 1 with ℵ_ 1 vertices such that for all ε > 0, if n is sufficiently large and H is a subgraph on n vertices, then H contains an independent set of size > n ^ (1 - ε)?

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Problem row
sha256:46d0aff9939dbc05b04bb5d9b4dbdd3682b889a906f6883122b1cc808ebda8de
Metadata
sha256:7f60cc17dd6d0cd1535ff9eb14ecc96d15eca08294537ae1c67c2ffde9176e22
Observation
sha256:8c823d621b7e1256c8e47c60a5f1c54c016a5507e6f27b2bab537f6f5f232067
Content
sha256:8339e51fc065113de50cb52046f9f08f9a4ea6acac948b99d32a0d8338435012
Repository
sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
Projection
sha256:c9d14c459c518937e758918b5897dc3b22f1a55f07739afe99502f5b046c907a
Source commit
2415f78e850aeee50afdca525c6f2e0ea606f207

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