Thomassen, 1994 showed that all planar graphs are 5-choosable. In this paper we extend this result, by showing that all Ks-minor-free graphs are 5-choosable. (~) 1998 Elsevier Science B.V.
Coloring algorithms for K5-minor free graphs
β Scribed by Samir Khuller
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 590 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0020-0190
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
The following question was raised by Bruce Richter. Let G be a planar, 3-connected graph that is not a complete graph. Denoting by d(v) the degree of vertex v, is G L-list colorable for every list assignment L with |L(v)|=min{d(v), 6} for all v β V (G)? More generally, we ask for which pairs (r, k)
The graph coloring problem is to color a given graph with the minimum number of colors. This problem is known to be NP-hard even if we are only aiming at approximate solutions. On the other hand, the best known approximation algorithms require β¦ Ε½ . Ε½ . n β¦ ) 0 colors even for bounded chromatic k-co
## Abstract Let __G__=(__V, E__) be a graph where every vertex __v__β__V__ is assigned a list of available colors __L__(__v__). We say that __G__ is list colorable for a given list assignment if we can color every vertex using its list such that adjacent vertices get different colors. If __L__(__v_