Proves that t(F, W^{∘p}) ≥ ρ^{p m} for rho-locally dense graphons W when p ≥ binom(n,2)/m, via Holder uniformization, plus results on theta-subdivisions of Sidorenko and KNRS graphs.
Kohayakawa–Nagle–R¨ odl–Schacht conjecture for subdivisions.arXiv preprint arXiv:2407.10861, 2024
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$L^p$-form of the KNRS conjecture
Proves that t(F, W^{∘p}) ≥ ρ^{p m} for rho-locally dense graphons W when p ≥ binom(n,2)/m, via Holder uniformization, plus results on theta-subdivisions of Sidorenko and KNRS graphs.