Edge Coloring of Embedded Graphs with Large Girth
โ Scribed by Xuechao Li; Rong Luo
- Publisher
- Springer Japan
- Year
- 2003
- Tongue
- English
- Weight
- 255 KB
- Volume
- 19
- Category
- Article
- ISSN
- 0911-0119
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๐ SIMILAR VOLUMES
Suppose G and H are graphs. We say G is H-colorable if there is a homomorphism (edge-preserving vertex mapping) from G to H. We say a graph G is uniquely H-colorable if there is an onto homomorphism c from G to H, and any other homomorphism from G to H is the composition o o c of c with an automorph
The odd-girth of a graph is the length of a shortest odd circuit. A conjecture by Pavol Hell about circular coloring is solved in this article by showing that there is a function f ( ) for each : 0 < < 1 such that, if the odd-girth of a planar graph G is at least f ( ), then G is (2 + )-colorable. N
In this paper, we prove that any graph G with maximum degree รG ! 11 p 49ร241AEa2, which is embeddable in a surface AE of characteristic 1AE 1 and satisยฎes jVGj b 2รGร5ร2 p 6รG, is class one.