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- W2363456844 abstract "We consider a natural generalization of the classical matching problem: In the budgeted matching problem we are given an undirected graph with edge weights, non-negative edge costs and a budget. The goal is to compute a matching of maximum weight such that its cost does not exceed the budget. This problem is weakly NP-hard. We present the first polynomial-time approximation scheme for this problem. Our scheme computes two solutions to the Lagrangian relaxation of the problem and patches them together to obtain a near-optimal solution. In our patching procedure we crucially exploit the adjacency relations of vertices of the matching polytope and the solution to an old combinatorial puzzle." @default.
- W2363456844 created "2016-06-24" @default.
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- W2363456844 date "2015-01-01" @default.
- W2363456844 modified "2023-09-27" @default.
- W2363456844 title "Budgeted Matching via the Gasoline Puzzle" @default.
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- W2363456844 doi "https://doi.org/10.1007/978-3-319-24971-1_5" @default.
- W2363456844 hasPublicationYear "2015" @default.
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