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Sidorenko’s conjecture for subdivisions and theta substitutions.Combinatorics, Probability and Computing, 35(2):269–279, 2026

Seonghyuk Im, Ruonan Li, Hong Liu · 2026 · DOI 10.1017/s0963548325100242

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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 7

    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.