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Stability and Robustness: Reliability in the World of Uncertainty

Stability and Robustness: Reliability in the World of Uncertainty

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One more evidence <strong>of</strong> NP-hardnessThe Central TreeProblemHeuristics for <strong>the</strong>CTPF<strong>in</strong>al RemarksAverbakh <strong>and</strong> Lebedev proved <strong>in</strong> 2004 that <strong>the</strong> RSTP isNP-Hard even if <strong>the</strong> <strong>in</strong>tervals <strong>of</strong> uncerta<strong>in</strong>ty are all equal to[0, 1]. They also proved that <strong>the</strong> RSTP is polynomially solvableif <strong>the</strong> number <strong>of</strong> edges with uncerta<strong>in</strong> lengths is fixed orbounded by <strong>the</strong> logarithm <strong>of</strong> a polynomial function <strong>of</strong> <strong>the</strong> totalnumber <strong>of</strong> edges.Heuristics for <strong>the</strong> Central Tree Problem Yury Nikul<strong>in</strong> - p. 10/33

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