Intersection digraphs analogous to undirected intersection graphs are introduced. Each vertex is assigned an ordered pair of sets, with a directed edge uu in the intersection digraph when the "source set" of u intersects the "terminal set" of u. Every n-vertex digraph is an intersection digraph of o
An evolution of interval graphs
โ Scribed by Edward R. Scheinerman
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 985 KB
- Volume
- 82
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
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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
We give a simple proof that the obvious necessary conditions for a graph to contain the k th power of a Hamiltonian path are sufficient for the class of interval graphs. The proof is based on showing that a greedy algorithm tests for the existence of Hamiltonian path powers in interval graphs. We wi