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Erdős problem 1036

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Let GG be a graph on nn vertices which does not contain a trivial (empty or complete) graph on more than clog⁡nc\log n vertices. Must GG contain at least 2Ωc(n)2^{\Omega_c(n)} many induced subgraphs which are not pairwise isomorphic?

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Problem row
sha256:10d051082370088d1874aed3a31ace5aa90c526ea4aa38049d07686dc084abcd
Metadata
sha256:d522768cca6196771811425d2c5e0aa04a29fbd64f3cd2cb908ed491e8dbfa2a
Observation
sha256:9c8326e865b6017b103af7611c852a06776d81964979b8ab5a1b800cd550dff6
Content
sha256:c3587bd2853f519cfb72124196b047cb516d56c33834a8c02ddbaeb664c5dfa3
Repository
sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
Projection
sha256:a4a96441668a9f8b33afbcb3f696a2639f5fae145f36ddc063d7f67d5fb87ce8
Source commit
36c6d0fef71a3fec84d9dcd5eeca4e22e378f7cb
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