Infinite families of crossing-critical graphs with a given crossing number (Q790825)
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scientific article; zbMATH DE number 3849254
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Infinite families of crossing-critical graphs with a given crossing number |
scientific article; zbMATH DE number 3849254 |
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Infinite families of crossing-critical graphs with a given crossing number (English)
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1984
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The author proves that, for each natural number \(n\geq 3\), there are infinitely many 3-connected graphs which have crossing number n and which are minimal under this restriction. He conjectures that, for \(n=2\), there are only finitely many such graphs. For \(n=1\), there are only two such graphs by Kuratowski's theorem.
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crossing-critical
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3-connected graphs
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crossing number
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