On Constructing Minimum Spanning Trees inRk1
โ Scribed by S. N. Bespamyatnikh
- Publisher
- Springer
- Year
- 1997
- Tongue
- English
- Weight
- 83 KB
- Volume
- 18
- Category
- Article
- ISSN
- 0178-4617
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๐ SIMILAR VOLUMES
In this paper, we introduce the problem of computing a minimum edge ranking spanning tree (MERST); i.e., find a spanning tree of a given graph G whose edge ranking is minimum. Although the minimum edge ranking of a given tree can be computed in polynomial time, we show that problem MERST is NP-hard.
Given n points in a plane, a minimum spanning tree is a set of edges which connects all the points and has a minimum total length. A naive approach enumerates edges on all pairs of points and takes at least (n 2 ) time. More efficient approaches find a minimum spanning tree only among edges in the D