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.
Bounding the number of embeddings of 5-connected projective-planar graphs
โ Scribed by Shigeru Kitakubo
- Publisher
- John Wiley and Sons
- Year
- 1991
- Tongue
- English
- Weight
- 268 KB
- Volume
- 15
- Category
- Article
- ISSN
- 0364-9024
No coin nor oath required. For personal study only.
โฆ Synopsis
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).
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