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...
Main Authors: | , , , |
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Other Authors: | |
Format: | Article |
Language: | English |
Published: |
Wiley
2022
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Online Access: | https://hdl.handle.net/1721.1/145893 |