The regularity method for graphs with few 4‐cycles

We develop a sparse graph regularity method that applies to graphs with few 4-cycles, including new counting and removal lemmas for 5-cycles in such graphs. Some applications include: * Every $n$-vertex graph with no 5-cycle can be made triangle-free by deleting $o(n^{3/2})$ edges. * For $r...

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Bibliographic Details
Main Authors: Conlon, David, Fox, Jacob, Sudakov, Benny, Zhao, Yufei
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: Wiley 2022
Online Access:https://hdl.handle.net/1721.1/145893

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