A distance-hereditary graph is a connected graph in which every induced path is isometric, i.e., the distance of any two vertices in an induced path equals their distance in the graph. We present a linear time labeling algorithm for the minimum cardinality connected r-dominating set and Steiner tree
✦ LIBER ✦
Homogeneous sets and domination: A linear time algorithm for distance—hereditary graphs
✍ Scribed by Falk Nicolai; Thomas Szymczak
- Publisher
- John Wiley and Sons
- Year
- 2001
- Tongue
- English
- Weight
- 210 KB
- Volume
- 37
- Category
- Article
- ISSN
- 0028-3045
- DOI
- 10.1002/net.1
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## Abstract The broadcast domination problem is a variant of the classical minimum dominating set problem in which a transmitter of power __p__ at vertex __v__ is capable of dominating (broadcasting to) all vertices within distance __p__ from __v__. Our goal is to assign a broadcast power __f__(__v