Improving spanning trees by upgrading nodes

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Abstract

We study bottleneck constrained network upgrading problems. We are given an edge weighted graph G = (V,E) where node υ ∈ V can be upgraded at a cost of c(υ). This upgrade reduces the delay of each link emanating from υ. The goal is to find a minimum cost set of nodes to be upgraded so that the resulting network has good performance. The performance is measured by the bottleneck weight of a minimum spanning tree. We give a polynomial time approximation algorithm with logarithmic performance guarantee, which is tight within a small constant factor as shown by our hardness results. © 1999 Published by Elsevier Science B.V. All rights reserved.

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Krumke, S. O., Noltemeier, H., Wirth, H. C., Marathe, M. V., Ravi, R., Ravi, S. S., & Sundaram, R. (1999). Improving spanning trees by upgrading nodes. Theoretical Computer Science, 221(1–2), 139–155. https://doi.org/10.1016/S0304-3975(99)00030-4

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