Common-Face Embeddings of Planar Graphs
β Scribed by Chen, Zhi-Zhong; He, Xin; Kao, Ming-Yang
- Book ID
- 118181115
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 2003
- Tongue
- English
- Weight
- 329 KB
- Volume
- 32
- Category
- Article
- ISSN
- 0097-5397
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Robertson and Seymour conjectured that the treewidth of a planar graph and the treewidth of its geometric dual di er by at most one. Lapoire solved the conjecture in the a rmative, using algebraic techniques. We give here a much shorter proof of this result.
It will be shown that the number of equivalence classes of embeddings of a 3-connected nonplanar graph into a projective plane coincides with the number of isomorphism classes of planar double coverings of the graph and a combinatorial method to determine the number will be developed.