Stability critical graphs and even subdivisions of \(K_ 4\) (Q1321996)
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scientific article; zbMATH DE number 562384
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stability critical graphs and even subdivisions of \(K_ 4\) |
scientific article; zbMATH DE number 562384 |
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Stability critical graphs and even subdivisions of \(K_ 4\) (English)
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5 May 1994
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A graph is stability critical (\(\alpha\)-critical) if the removal of any edge increases the stability number. We give an affirmative answer to a question raised by Chvátal, namely, that every connected, critical graph that is neither \(K_ 2\) nor an odd cycle contains an even subdivision of \(K_ 4\).
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stability critical graphs
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stability number
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