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A note on the minimum label spanning tree. (English) Zbl 1042.68055
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 2lnn+1·.

MSC:
68Q25Analysis of algorithms and problem complexity
68W05Nonnumerical algorithms
68M10Network design and communication of computer systems