Let G be a planar graph and let g(G) and Á(G) be its girth and maximum degree, respectively. We show that G has an edge-partition into a forest and a subgraph H so that (i) -cycles (though it may contain 3-cycles). These results are applied to find the following upper bounds for the game coloring n
✦ LIBER ✦
Quasi-planar graphs have a linear number of edges
✍ Scribed by Pankaj K. Agarwal; Boris Aronov; János Pach; Richard Pollack; Micha Sharir
- Publisher
- Springer-Verlag
- Year
- 1997
- Tongue
- English
- Weight
- 467 KB
- Volume
- 17
- Category
- Article
- ISSN
- 0209-9683
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