A critically chromatic graph (Q1366769)
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scientific article; zbMATH DE number 1061977
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A critically chromatic graph |
scientific article; zbMATH DE number 1061977 |
Statements
A critically chromatic graph (English)
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22 January 1998
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A graph is edge-critical \(n\)-chromatic if its chromatic number equals \(n\), i.e. \(\chi(G)=n\), and \(\chi(G-e)=n-1\) for every edge \(e\) of \(G\). In the paper an edge-critical 4-chromatic 4-connected graph on 13 vertices is constructed, which solves a problem due to Dirac.
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Cayley graph
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chrmatic number
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connectivity
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critical graph
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