All variations on perfectly orderable graphs
β Scribed by Stephan Olariu
- Book ID
- 107884271
- Publisher
- Elsevier Science
- Year
- 1988
- Tongue
- English
- Weight
- 484 KB
- Volume
- 45
- Category
- Article
- ISSN
- 0095-8956
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
In 1981, Chvatal defined the class of perfectly orderable graphs. This class of perfect graphs contains the comparability graphs and the triangulated graphs. In this paper, we introduce four classes of perfectly orderable graphs, including natural generalizations of the comparability and triangulate
A graph is called "perfectly orderable" if its vertices can be ordered in such a way that, for each induced subgraph F, a certain "greedy" coloring heuristic delivers an optimal coloring of F. No polynomial-time algorithm to recognize these graphs is known. We present four classes of perfectly order
## Abstract We characterize (by forbidden induced subgraphs) those lineβgraphs that are perfectly orderable. Implicit in our presentation is a polynomial, time algorithm for recognizing these graphs.