A connected graph G is a tree-clique graph if there exists a spanning tree T (a compatible tree) such that every clique of G is a subtree of T. When Tis a path the connected graph G is a proper interval graph which is usually defined as intersection graph of a family of closed intervals of the real
A new characterization of proper interval graphs
โ Scribed by Zygmunt Jackowski
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 379 KB
- Volume
- 105
- Category
- Article
- ISSN
- 0012-365X
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โฆ Synopsis
One of the first characterizations of interval graphs, given by Lekkerkerker and Boland (1962), uses the concept of an asteroidal triple. In this paper we give a similar characterization on the proper interval graphs using the akin concept of an astral triple.
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