Given a set 3 of : i (i=1, 2, ..., k) orientations (angles) in the plane, one can define a distance function which induces a metric in the plane, called the orientation metric [3]. In the special case where all the angles are equal, we call the metric a uniform orientation metric [2]. Specifically,
The role of Steiner hulls in the solution to Steiner tree problems
β Scribed by J. Scott Provan
- Book ID
- 112684788
- Publisher
- Springer US
- Year
- 1991
- Tongue
- English
- Weight
- 811 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0254-5330
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We show that it is not possible to approximate the minimum Steiner tree problem within 1 + 1 162 unless RP = NP. The currently best known lower bound is 1 + 1 400 . The reduction is from H astad's nonapproximability result for maximum satisΓΏability of linear equation modulo 2. The improvement on the
## Abstract The prizeβcollecting Steiner tree problem is well known to be NPβhard. We consider seven variations of this problem generalizing several wellβstudied bottleneck and minsum problems with feasible solutions as trees of a graph. Four of these problems are shown to be solvable in __O__(__m_