Cycle lengths and chromatic number of graphs (Q1883263)
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scientific article; zbMATH DE number 2105621
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Cycle lengths and chromatic number of graphs |
scientific article; zbMATH DE number 2105621 |
Statements
Cycle lengths and chromatic number of graphs (English)
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1 October 2004
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Let \(r(G)\) and \(s(G)\) be the number of odd and even cycle lengths in a graph \(G,\) respectively. It is shown that for each graph \(G\) its chromatic number satisfies \(\chi (G)\leq \min \{2r(G)+2,2s(G)+3\}.\)
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graph
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chromatic number
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cycle length
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0.9435083
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0.9293046
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0.92743945
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0.9270781
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0.92237884
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0.92070127
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0.91809165
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0.9175027
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