An $O(n^2 )$ Algorithm for Coloring Proper Circular Arc Graphs
โ Scribed by Orlin, James B.; Bonuccelli, Maurizio A.; Bovet, Daniel P.
- Book ID
- 118212385
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 1981
- Weight
- 634 KB
- Volume
- 2
- Category
- Article
- ISSN
- 0196-5212
- DOI
- 10.1137/0602012
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
A family of arcs on a circle is proper if no arc is properly contained within another. While general minimal arc coloring is NP-complete, Orlin et al. recently obtained on O(n') algorithm for q-coloring a proper family of arcs by modeling proper arc coloring as a shortest path problem in an associat
## Abstract We introduce a simple new technique which allows us to solve several problems that can be formulated as seeking a suitable orientation of a given undirected graph. In particular, we use this technique to recognize and transitively orient comparability graphs, to recognize and represent
We show how the results of Karger, Motwani, and Sudan ( 1994) and Blum ( 1994) can be combined in a natural manner to yield a polynomial-time algorithm for d(n3"4 )-coloring any n-node 3-colorable graph. This improves on the previous best bound of 6(n'14) colors (Karger et al., 1994).