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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)?

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Problem row
sha256:7ef93b03ee14446f32b45de88b386e48499f6e3ee21ed2ebc817cd33c3f3be49
Metadata
sha256:9d76204e4266cf278eb1ae06008bdd7056e74c45031490e2df6f27fa84342446
Observation
sha256:9c8326e865b6017b103af7611c852a06776d81964979b8ab5a1b800cd550dff6
Content
sha256:b178fea70a722a6aeace403154c5903fffb96c174fd29445b77de25d8e2a5525
Repository
sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
Projection
sha256:a4a96441668a9f8b33afbcb3f696a2639f5fae145f36ddc063d7f67d5fb87ce8
Source commit
36c6d0fef71a3fec84d9dcd5eeca4e22e378f7cb
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