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A relax-and-cut algorithm for the prize-collecting Steiner problem in graphs

Discrete Applied Mathematics, no. 6 (2009): 1198-1217

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Given an undirected graph G with penalties associated with its vertices and costs associated with its edges, a Prize Collecting Steiner (PCS) tree is either an isolated vertex of G or else any tree of G, be it spanning or not. The weight of a PCS tree equals the sum of the costs for its edges plus the sum of the penalties for the vertices...更多

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