Node-weighted Steiner tree and group Steiner tree in planar graphs

We improve the approximation ratios for two optimization problems in planar graphs. For node-weighted Steiner tree, a classical network-optimization problem, the best achievable approximation ratio in general graphs is Θ [theta] (logn), and nothing better was previously known for planar graphs. We g...

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Bibliographic Details
Main Authors: Demaine, Erik D., Hajiaghayi, Mohammad Taghi, Klein, Philip N.
Other Authors: Massachusetts Institute of Technology. Computer Science and Artificial Intelligence Laboratory
Format: Article
Language:en_US
Published: Springer 2011
Online Access:http://hdl.handle.net/1721.1/62256
https://orcid.org/0000-0003-3803-5703