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Erdős problem 566

Let GG be such that any subgraph on kk vertices has at most 2k32k-3 edges. Is it true that, if HH has mm edges and no isolated vertices, then r^(G,H)m\hat{r}(G,H) \ll m?

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sha256:14acbaad13c6b00b3bd9267d267013b58840a24737ea1c5f7af9ebc0288e9270
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sha256:e3442d0383578d5f8e74842b3abd1728541bf8834ce87adde2f8c5fcbaca4c5c
Observation
sha256:8c823d621b7e1256c8e47c60a5f1c54c016a5507e6f27b2bab537f6f5f232067
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sha256:c9d14c459c518937e758918b5897dc3b22f1a55f07739afe99502f5b046c907a
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2415f78e850aeee50afdca525c6f2e0ea606f207

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