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On the approximability of robust spanning tree problems
2011
Theoretical Computer Science
In this paper the minimum spanning tree problem with uncertain edge costs is discussed. In order to model the uncertainty a discrete scenario set is specified and a robust framework is adopted to choose a solution. The min-max, min-max regret and 2-stage min-max versions of the problem are discussed. The complexity and approximability of all these problems are explored. It is proved that the min-max and min-max regret versions with nonnegative edge costs are hard to approximate within O(log 1−ϵ
doi:10.1016/j.tcs.2010.10.006
fatcat:vsyx7ynwj5eqhifkzqob7fggru