On the edge distribution in triangle-free graphs (Q1892845)
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scientific article; zbMATH DE number 767693
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the edge distribution in triangle-free graphs |
scientific article; zbMATH DE number 767693 |
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On the edge distribution in triangle-free graphs (English)
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2 July 1995
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Let \(G\) be a graph on \(n\) vertices. The author shows that if any subgraph of \(G\) induced by \(n/2\) vertices is of size at least \(n^ 2/36\) then \(G\) contains a triangle. Further, it is studied how much the edge distribution in a triangle-free graph deviates from the edge distribution in a typical random graph of the same order and size.
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triangle
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edge distribution
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triangle-free graph
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random graph
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