Article ID Journal Published Year Pages File Type
1141635 Discrete Optimization 2013 17 Pages PDF
Abstract

Jain’s iterative rounding method and its variants give the best approximation guarantees known for many problems in the area of network design. The method has been applied to the mincost kk-connected spanning subgraph problem. We construct a family of examples such that the standard LP relaxation has an extreme-point solution with infinity norm ≤Θ(1)/k, thus showing that the standard iterative rounding method cannot achieve an approximation guarantee better than Ω(k).

Related Topics
Physical Sciences and Engineering Mathematics Control and Optimization
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