This paper gives linear-time algorithms for finding two minimum (connected) dominating sets with minimum intersection for interval graphs.
Minimum Dominating Sets of Intervals on Lines
β Scribed by S. -W. Cheng; M. Kaminski; S. Zaks
- Publisher
- Springer
- Year
- 1998
- Tongue
- English
- Weight
- 169 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0178-4617
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We prove that for every tree T of order at least 2 and every minimum dominating set D of T which contains at most one endvertex of T , there is an independent dominating set I of T which is disjoint from D. This confirms a recent conjecture of Johnson, Prier, and Walsh.
Topp, J., Graphs with unique minimum edge dominating sets and graphs with unique maximum independent sets of vertices, Discrete Mathematics 12 1 (1993) 199-210. A set I of vertices of a graph G is an independent set if no two vertices of I are adjacent. A set M of edges of G is an edge dominating s