Abstract | ||
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What is the effectiveness of local search algorithms for geometric problems in the plane? We prove that local search with neighborhoods of magnitude 1/epsilon^c is an approximation scheme for the following problems in the Euclidean plane: TSP with random inputs, Steiner tree with random inputs, uniform facility location (with worst case inputs), and bicriteria k-median (also with worst case inputs). The randomness assumption is necessary for TSP. |
Year | Venue | Field |
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2015 | Symposium on Computational Geometry | Discrete mathematics,Magnitude (mathematics),Combinatorics,Mathematical optimization,Computer science,Steiner tree problem,Geometric problems,Facility location problem,Euclidean geometry,Local search (optimization),Randomness |
DocType | Citations | PageRank |
Conference | 8 | 0.51 |
References | Authors | |
0 | 2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Vincent Cohen-Addad | 1 | 85 | 25.47 |
Claire Mathieu | 2 | 452 | 25.78 |