Clique covering of graphs (Q1100482)
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scientific article; zbMATH DE number 4043874
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Clique covering of graphs |
scientific article; zbMATH DE number 4043874 |
Statements
Clique covering of graphs (English)
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1986
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The clique covering number cc(G) of a graph G is the least number of complete subgraphs of G necessary to cover the edge set of G. The author shows that there exists an integer \(n_ 0\) such that for all graphs G on \(n>n_ 0\) vertices \(\max \{cc(G)+cc(\bar G)\}=\lfloor n^ 2/4\rfloor +2.\) This settles a conjecture of Erdős.
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clique covering number
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