We provide constant ratio approximation algorithms for two NP-hard problems, the rectangle stabbing problem and the rectilinear partitioning problem. In the rectangle stabbing problem, we are given a set of rectangles in two-dimensional space, with the objective of stabbing all rectangles with the m
Probabilistic partitioning algorithms for the rectilinear steiner problem
✍ Scribed by János Komlós; M. T. Shing
- Publisher
- John Wiley and Sons
- Year
- 1985
- Tongue
- English
- Weight
- 417 KB
- Volume
- 15
- Category
- Article
- ISSN
- 0028-3045
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
We give the first non-trivial approximation algorithms for the Steiner tree problem and the generalized Steiner network problem on general directed graphs. These problems have several applications in network design and multicast routing.
## Abstract In this article we study the __group Steiner network__ problem, which is defined in the following way. Given a graph __G__ = (__V,E__), a partition of its vertices into K groups and connectivity requirements between the different groups, the aim is to find simultaneously a set of repres
The rectilinear Steiner problem is the problem of constructing the shortest rectilinear network in the plane connecting a given set of points, called terminals. The problem is known to be NP-complete in general. In this paper, we show that there is a polynomial time algorithm for solving the rectili