4 papers
Tensor Amplification and Spectral Transfer for Sidorenko-Type Inequalities
Yuqi Zhao
We develop a tensor-amplification framework for Sidorenko-type inequalities in graphon classes. The framework applies to any admissible class, meaning a class closed under tensor p…
-form of the KNRS conjecture
Yuqi Zhao
The Kohayakawa--Nagle--Rödl--Schacht conjecture predicts that locally dense graphs contain, asymptotically, at least as many homomorphic copies of any fixed graph as the random gr…
Sidorenko Inequalities for Two-Sided Group Correlation Kernels
Yuqi Zhao
Sidorenko's conjecture asserts that every bipartite graph has at least the expected homomorphism density in every graph of a given edge density. Motivated by Cayley-type formulatio…
Conjugacy Class Averages and Sidorenko's Conjecture
Yuqi Zhao
Sidorenko's conjecture asserts that for every bipartite graph and every graph , \[ t(H,G)\geq t(K_2,G)^{e(H)}. \] A result of Szegedy shows that, in order to prove the conje…