Closed 2-cell embeddings of 4 cross-cap embeddable graphs (Q1356673)
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scientific article; zbMATH DE number 1019034
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Closed 2-cell embeddings of 4 cross-cap embeddable graphs |
scientific article; zbMATH DE number 1019034 |
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Closed 2-cell embeddings of 4 cross-cap embeddable graphs (English)
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20 August 1997
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A closed 2-cell embedding of a bridgeless graph \(G\) is an embedding of the graph in some surface such that each face is bounded by a circuit of the graph. A graph is called \(k\) cross-cap embeddable if the graph can be embedded in a surface with at most \(k\) cross-caps. In this paper, it is proved that every 2-connected 4 cross-cap embeddable graph has a 2-cell embedding in some surface. Consequently, the graph has a circuit double cover.
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strong embedding
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closed 2-cell embedding
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circuit double cover
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