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Weak hypergraph regularity and linear hypergraphs.Journal of Combinatorial Theory, Series B, 100(2):151–160, 2010

Yoshiharu Kohayakawa, Brendan Nagle, Vojtˇ ech R¨ odl, Mathias Schacht · 2010 · DOI 10.1016/j.jctb.2009.05.005

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$L^p$-form of the KNRS conjecture

math.CO · 2026-06-29 · unverdicted · novelty 7.0

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.

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  • $L^p$-form of the KNRS conjecture math.CO · 2026-06-29 · unverdicted · none · ref 9

    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.