Online Node-Weighted Steiner Forest and Extensions via Disk Paintings

Abstract

We give the first polynomial-time online algorithm for the node-weighted Steiner forest problem with a poly-logarithmic competitive ratio. The competitive ratio of our algorithm is optimal up to a logarithmic factor. For the special case of graphs with an excluded fixed minor (e.g., planar graphs), we obtain a logarithmic competitive ratio, which is optimal… (More)
DOI: 10.1109/FOCS.2013.66

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