Graphs without large triangle free subgraphs (Q1174161)
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scientific article; zbMATH DE number 8191
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Graphs without large triangle free subgraphs |
scientific article; zbMATH DE number 8191 |
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Graphs without large triangle free subgraphs (English)
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25 June 1992
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The authors extend results of \textit{P. Erdős} and \textit{C. A. Rogers} [Can. J. Math. 14, 702--707 (1962; Zbl 0194.25304)]. They show that for \(2\leq r<s\) and large enough \(n\), there exist graphs on \(n\) vertices and clique number less than \(s\) in which every set of vertices, which is not too small, spans a clique on \(r\) vertices. Use is made of the theory of random graphs.
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triangle free subgraphs
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clique number
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random graphs
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