Recognition of probe proper interval graphs
β Scribed by Nussbaum, Yahav
- Book ID
- 122213090
- Publisher
- Elsevier Science
- Year
- 2014
- Tongue
- English
- Weight
- 424 KB
- Volume
- 167
- Category
- Article
- ISSN
- 0166-218X
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π SIMILAR VOLUMES
We propose a linear time recognition algorithm for proper interval graphs. The algorithm is based on certain ordering of vertices, called bicompatible elimination ordering (BCO). Given a BCO of a biconnected proper interval graph G, we also propose a linear time algorithm to construct a Hamiltonian
A graph G is a proper interval graph if there exists a mapping r from V(G) to the class of closed intervals of the real line with the properties that for distinct vertices u and w we have r(u) n r(w) # 0 if and only if u and w are adjacent and neither of the intervals r(u), r(w) contain the other. W
## 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