Proper and unit tolerance graphs
β Scribed by Kenneth P. Bogart; Peter C. Fishburn; Garth Isaak; Larry Langley
- Book ID
- 104184570
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 985 KB
- Volume
- 60
- Category
- Article
- ISSN
- 0166-218X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We say any order ~ is a tolerance order on a set of vertices if we may assign to each vertex x an interval Ix of real numbers and a real number tx called a tolerance in such a way that x~,y if and only if the overlap of Ix and ly is less than the minimum of t~ and ty and the center of I~ is less tha
## Abstract Given a set __F__ of digraphs, we say a graph __G__ is a __F__β__graph__ (resp., __F__\*β__graph__) if it has an orientation (resp., acyclic orientation) that has no induced subdigraphs isomorphic to any of the digraphs in __F__. It is proved that all the classes of graphs mentioned in
## 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