A strengthening of the Kuratowski planarity criterion for 3-connected graphs (Q797592)
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scientific article; zbMATH DE number 3867364
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A strengthening of the Kuratowski planarity criterion for 3-connected graphs |
scientific article; zbMATH DE number 3867364 |
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A strengthening of the Kuratowski planarity criterion for 3-connected graphs (English)
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1984
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It is proved that each 3-connected non-planar graph distinct from \(K_ 5\) contains a special subdivision of \(K_{3,3}\) with three pairwise non- adjacent non-subdivided edges (i.e., a cycle with three pairwise ''interwoven'' chords).
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non-planar graph
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subdivision
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