Small odd cycles in 4-chromatic graphs (Q2744571)
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scientific article; zbMATH DE number 1652667
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Small odd cycles in 4-chromatic graphs |
scientific article; zbMATH DE number 1652667 |
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Small odd cycles in 4-chromatic graphs (English)
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16 December 2001
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odd cycle
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chromatic number
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girth
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\textit{A. Nilli} [J. Graph Theory 31, No. 2, 145-147 (1999; Zbl 0924.05044)] showed that every 4-chromatic graph on \(n\) vertices contains an odd cycle of length less than \(\sqrt{8n}\). The author improves this bound to \(2\sqrt{n}+3\).
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