Finitely forcible graphons with an almost arbitrary structure

A basic result from the theory of quasirandom graphs, due to Andrew Thomason, is that if $G$ is a graph with $n$ vertices and density $p$, and if the number of 4-cycles in $G$ is approximately $p^4\binom n4$, then $G$ resembles a random graph of the same density. In particular, between any two sets...

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Bibliographic Details
Main Authors: Daniel Kral, Laszlo Miklos Lovasz, Jonathan Noel, Jakub Sosnovec
Format: Article
Language:English
Published: Diamond Open Access Journals
Series:Discrete Analysis
Online Access:http://discrete-analysis.scholasticahq.com/article/12058-finitely-forcible-graphons-with-an-almost-arbitrary-structure.pdf