AnO(logk)-approximation algorithm for thekminimum spanning tree problem in the plane
โ Scribed by N. Garg; D. S. Hochbaum
- Book ID
- 110547543
- Publisher
- Springer
- Year
- 1997
- Tongue
- English
- Weight
- 505 KB
- Volume
- 18
- Category
- Article
- ISSN
- 0178-4617
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๐ SIMILAR VOLUMES
We study a bottleneck Steiner tree problem: given a set P = {p 1 , p 2 , . . . , p n } of n terminals in the Euclidean plane and a positive integer k, find a Steiner tree with at most k Steiner points such that the length of the longest edges in the tree is minimized. The problem has applications in
We design a polynomial-time approximation scheme for the Steiner tree problem in the plane when the given set of regular points is c-local, i.e., in the minimum-cost spanning tree for the given set of regular points, the length of the longest edge is at most c times the length of the shortest edge.