Generalized Steiner problem in series-parallel networks
Journal of Algorithms
Approximation schemes for the restricted shortest path problem
Mathematics of Operations Research
Polynomial time approximation schemes for Euclidean traveling salesman and other geometric problems
Journal of the ACM (JACM)
Fast Approximation Algorithms for the Knapsack and Sum of Subset Problems
Journal of the ACM (JACM)
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SODA '01 Proceedings of the twelfth annual ACM-SIAM symposium on Discrete algorithms
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Computers and Intractability: A Guide to the Theory of NP-Completeness
An approach for proving lower bounds: solution of Gilbert-Pollak's conjecture on Steiner ratio
SFCS '90 Proceedings of the 31st Annual Symposium on Foundations of Computer Science
Research: A group multicast routing algorithm by using multiple minimum Steiner trees
Computer Communications
Quality-of-service routing for supporting multimedia applications
IEEE Journal on Selected Areas in Communications
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In this paper, we study the problem of computing a minimum cost Steiner tree subject to weight constraint in a series-parallel graph where each edge has a nonnegative integer cost and a nonnegative integer weight.We present a fully polynomial time approximation scheme for this NP-complete problem.