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
Which line-graphs are perfectly orderable?
✍ Scribed by V. Chvátal
- Publisher
- John Wiley and Sons
- Year
- 1990
- Tongue
- English
- Weight
- 193 KB
- Volume
- 14
- Category
- Article
- ISSN
- 0364-9024
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✦ Synopsis
Abstract
We characterize (by forbidden induced subgraphs) those line‐graphs that are perfectly orderable. Implicit in our presentation is a polynomial, time algorithm for recognizing these graphs.
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