Finitely forcible graphons with an almost arbitrary structure

Author:

Noel Jonathan, ,Kral Daniel,Lovasz Laszlo Miklos,Sosnovec Jakub

Abstract

A basic result from the theory of quasirandom graphs, due to Andrew Thomason, is that if is a graph with vertices and density , and if the number of 4-cycles in is approximately , then resembles a random graph of the same density. In particular, between any two sets and of vertices the number of edges is approximately . (Here, “approximately” means "to within a small fraction of , so the statement is non-trivial only for sets and that are not too small.)

Publisher

Alliance of Diamond Open Access Journals

Subject

Discrete Mathematics and Combinatorics,Geometry and Topology,Algebra and Number Theory

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Forcing generalised quasirandom graphs efficiently;Combinatorics, Probability and Computing;2023-09-05

2. Cut distance identifying graphon parameters over weak* limits;Journal of Combinatorial Theory, Series A;2022-07

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