One of the fundamental problems in graph theory is to compute a minimum weight spanning tree. In this paper, a variant of spanning trees, called the minimum labeling spanning tree, is studied. The purpose is to find a spanning tree that tries to use edges that are as similar as possible. Giving each
A note on the minimum label spanning tree
โ Scribed by Yingyu Wan; Guoliang Chen; Yinlong Xu
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 44 KB
- Volume
- 84
- Category
- Article
- ISSN
- 0020-0190
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โฆ Synopsis
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.
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## Abstract The capacitated minimum spanning tree is an offspring of the minimum spanning tree and network flow problems. It has application in the design of multipoint linkages in elementary teleprocessing tree networks. Some theorems are used in conjunction with Little's branch and bound algorith