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The prize-collecting generalized steiner tree problem via a new approach of primal-dual schema
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SFCS '93 Proceedings of the 1993 IEEE 34th Annual Foundations of Computer Science
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APPROX '07/RANDOM '07 Proceedings of the 10th International Workshop on Approximation and the 11th International Workshop on Randomization, and Combinatorial Optimization. Algorithms and Techniques
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We study approximation algorithms for generalized network design where the cost of an edge depends on the identities of the demands using it (as a monotone subadditive function). Our main result is that even a very special case of this problem cannot be approximated to within a factor 2^l^o^g^^^1^^^-^^^@e^|^D^| if D is the set of demands.