The NP-Completeness of Edge-Coloring
β Scribed by Holyer, Ian
- Book ID
- 118174079
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 1981
- Tongue
- English
- Weight
- 274 KB
- Volume
- 10
- Category
- Article
- ISSN
- 0097-5397
- DOI
- 10.1137/0210055
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
In the minimum sum coloring problem we have to assign positive integers to the vertices of a graph in such a way that neighbors receive different numbers and the sum of the numbers is minimized. Szkalicki has shown that minimum sum coloring is NP-hard for interval graphs. Here we present a simpler p
## Abstract In the edge precoloring extension problem, we are given a graph with some of the edges having preassigned colors and it has to be decided whether this coloring can be extended to a proper __k__βedgeβcoloring of the graph. In list edge coloring every edge has a list of admissible colors,
## Abstract We show that the following problem is __NP__ complete: Let __G__ be a cubic bipartite graph and __f__ be a precoloring of a subset of edges of __G__ using at most three colors. Can __f__ be extended to a proper edge 3βcoloring of the entire graph __G__? This result provides a natural co