A polyhedral approach to edge coloring
β Scribed by George L Nemhauser; Sungsoo Park
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 492 KB
- Volume
- 10
- Category
- Article
- ISSN
- 0167-6377
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π SIMILAR VOLUMES
## Abstract Here we examine six definitions of criticality concerning the chromatic index (edge chromatic number) of a simple graph. Five of these turn out to be almost always almost equivalent. Some problems arise and some conjectures are posed.
Bounds are given on the number of colors required to color the edges of a graph (multigraph) such that each color appears at each vertex u at most m(u) times. The known results and proofs generalize in natural ways. Certain new edge-coloring problems, which have no counterparts when m(u) = 1 for all