In fact, Vizing's proof implies an O(nm) time algorithm with โฌ ฯฉ 1 colors for the edge-coloring problem. However, Holyer has shown that deciding whether a graph requires โฌ or โฌ ฯฉ 1 colors is NP-complete [10]. For a multigraph G, Shannon showed that ะ(G) ี 3โฌ/2 [16]. A number of parallel algorithms
Efficient parallel algorithms for edge coloring problems
โ Scribed by Howard J Karloff; David B Shmoys
- Book ID
- 103628210
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 876 KB
- Volume
- 8
- Category
- Article
- ISSN
- 0196-6774
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Many combinatorial problems can be efficiently solved in parallel for seriesแparallel multigraphs. The edge-coloring problem is one of a few combinatorial problems for which no NC parallel algorithm has been obtained for seriesแparallel multigraphs. This paper gives an NC parallel algorithm for the
Many combinatorial problems can be efficiently solved for seriesแparallel multigraphs. However, the edge-coloring problem of finding the minimum number of colors required for edge-coloring given graphs is one of a few well-known combinatorial problems for which no efficient algorithms have been obta