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Augmenting graphs to minimize the diameter. (English) Zbl 1319.68156

Summary: We study the problem of augmenting a weighted graph by inserting edges of bounded total cost while minimizing the diameter of the augmented graph. Our main result is an FPT 4-approximation algorithm for the problem.

MSC:

68R10 Graph theory (including graph drawing) in computer science
05C85 Graph algorithms (graph-theoretic aspects)
68W25 Approximation algorithms

References:

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