Improved edge-coloring algorithms for planar graphs
β Scribed by Marek Chrobak; Takao Nishizeki
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 808 KB
- Volume
- 11
- Category
- Article
- ISSN
- 0196-6774
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
An __acyclic__ edge coloring of a graph is a proper edge coloring such that there are no bichromatic cycles. The __acyclic chromatic index__ of a graph is the minimum number __k__ such that there is an acyclic edge coloring using __k__ colors and is denoted by __a__β²(__G__). It was conjectured by Al
In fact, Vizing's proof implies an O(nm) time algorithm with β¬ Ο© 1 colors for the edge-coloring problem. However, Holyer has shown that deciding whether a graph requires β¬ or β¬ Ο© 1 colors is NP-complete [10]. For a multigraph G, Shannon showed that Π(G) Υ 3β¬/2 [16]. A number of parallel algorithms
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