Uniqueness and minimality of large face-width embeddings of graphs
β Scribed by Bojan Mohar
- Publisher
- Springer-Verlag
- Year
- 1995
- Tongue
- English
- Weight
- 829 KB
- Volume
- 15
- Category
- Article
- ISSN
- 0209-9683
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π SIMILAR VOLUMES
For any graph \(G\) embedded on the torus, the face-width \(r(G)\) of \(G\) is the minimum number of intersections of \(G\) and \(C\), where \(C\) ranges over all nonnullhomotopic closed curves on the torus. We call \(G r\)-minimal if \(r(G) \geqslant r\) and \(r\left(G^{\prime}\right)<r\) for each
A graph G is uniquelyembeddable in a surface f 2 if for any two embeddings f,,f2 : G + f 2 , there exists an isomorphism u : G + G and a homeo- admits an embedding f : G + F2 such that for any isomorphism (T : G + G, there is a homeomorphism h : F 2 f 2 with h . f = f . u. It will be shown that if