List Coloring of Random and Pseudo-Random Graphs
β Scribed by Noga Alon; Michael Krivelevich; Benny Sudakov
- Publisher
- Springer-Verlag
- Year
- 1999
- Tongue
- English
- Weight
- 317 KB
- Volume
- 19
- Category
- Article
- ISSN
- 0209-9683
No coin nor oath required. For personal study only.
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The performance of the greedy coloring algorithm ''first fit'' on sparse random graphs G and on random trees is investigated. In each case, approximately n, c r n log log n colors are used, the exact number being concentrated almost surely on at 2 most two consecutive integers for a sparse random gr
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