Minimal reducible bounds for planar graphs (Q1970573)
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scientific article; zbMATH DE number 1420210
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Minimal reducible bounds for planar graphs |
scientific article; zbMATH DE number 1420210 |
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Minimal reducible bounds for planar graphs (English)
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21 March 2000
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The well-known Barnette conjecture says: If \(G\) is a 3-connected bipartite 3-valent planar graph, then \(G\) has a Hamilton cycle. This conjecture is true iff the vertices of each 3-colourable planar graph are partitionable into two subsets each inducing a forest. Among other results, the authors investigate some classes of planar graphs with this property.
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vertex partition
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minimal reducible bound
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Barnette conjecture
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planar graph
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Hamilton cycle
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