This paper analyzes the computational complexity involved in solving fairness issues on graphs, e.g., in the installation of networks such as water networks or oil pipelines. Based on individual rankings of the edges of a graph, we will show under which conditions solutions, i.e., spanning trees, ca
โฆ LIBER โฆ
On minimum spanning trees and the intergradation of clusters
โ Scribed by Warshauer, Steven M. ;Smosna, Richard
- Publisher
- Springer
- Year
- 1981
- Tongue
- English
- Weight
- 588 KB
- Volume
- 13
- Category
- Article
- ISSN
- 0020-5958
No coin nor oath required. For personal study only.
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We give a tight analysis of the greedy algorithm introduced by Krumke and Wirth for the minimum label spanning tree problem. The algorithm is shown to be a (ln(n -1) + 1)-approximation for any graph with n nodes (n > 1), which improves the known performance guarantee 2 ln n + 1.