Domination in permutation graphs
โ Scribed by Martin Farber; J Mark Keil
- Publisher
- Elsevier Science
- Year
- 1985
- Tongue
- English
- Weight
- 617 KB
- Volume
- 6
- Category
- Article
- ISSN
- 0196-6774
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Efficient algorithms are developed for finding a minimum cardinality connected dominating set and a minimum cardinality Steiner tree in permutation graphs. This contrasts with the known NP-completeness of both problems on comparability graphs in general.
This paper generalizes dominating and efficient dominating sets of a graph. Let G be a graph with vertex set V(G). If f: V(G) ~ Y, where Y is a subset of the reals, the weight off is the sum of f(v) over all ve V(G). If the closed neighborhood sum off(v) at every vertex is at least 1, thenfis called