Five-Coloring Maps on Surfaces
β Scribed by C. Thomassen
- Book ID
- 102970655
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 688 KB
- Volume
- 59
- Category
- Article
- ISSN
- 0095-8956
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
It is proved that there is a function f: N Q N such that the following holds. Let G be a graph embedded in a surface of Euler genus g with all faces of even size and with edge-width \ f(g). Then (i) If every contractible 4-cycle of G is facial and there is a face of size > 4, then G is 3-colorable.
The face-hypergraph, H(G), of a graph G embedded in a surface has vertex set V(G), and every face of G corresponds to an edge of H(G) consisting of the vertices incident to the face. We study coloring parameters of these embedded hypergraphs. A hypergraph is k-colorable (k-choosable) if there is a c