A graph is said to be projective-planar if it is nonplanar and is embeddable in a projective plane. In this paper we show that the numbers of projectiveplanar embeddings (up to equivalence) of all 5-connected graphs have an upper bound c( 1120).
Re-embedding structures of 4-connected projective-planar graphs
β Scribed by Yusuke Suzuki
- Publisher
- John Wiley and Sons
- Year
- 2010
- Tongue
- English
- Weight
- 212 KB
- Volume
- 68
- Category
- Article
- ISSN
- 0364-9024
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β¦ Synopsis
We identify the structures of 4-connected projective-planar graphs which generate their inequivalent embeddings on the projective plane, showing two series of graphs the number of whose inequivalent embeddings is held by O(n) with respect to the number of its vertices n.
π SIMILAR VOLUMES
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## Abstract The object of this paper is to show that 4βconnected planar graphs are uniquely determined from their collection of edgeβdeleted subgraphs.