Planar graphs on the projective plane (Q1910575)
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scientific article; zbMATH DE number 858108
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Planar graphs on the projective plane |
scientific article; zbMATH DE number 858108 |
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Planar graphs on the projective plane (English)
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25 March 1996
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It is shown that embeddings of planar graphs in the projective plane necessarily have very specific structure, which leads to an indirect characterization of projective-planar graphs whose duals are planar. Also Whitney's planar 2-switching theorem is generalized: Any two embeddings of a planar graph in the projective plane can be obtained from each other by means of simple local reembeddings (similar to Whitney's switchings).
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embeddings
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planar graphs
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projective plane
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characterization
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projective-planar graphs
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