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Gadgets, approximation, and linear programming: Improved hardness results for cut and satisfiabilitnt of one optimization problem into constraints of a different one. Despite their central role, no uniform method has been developed to construct gadgets required for a given reduction. In fact till recently no formal definition seems to have been given. In a recent work Bellare, Goldreich, and Suda
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Pseudo-hamiltonian graphs,ic results on pseudo- .-hamiltonian cycles: First, we show that deciding whether a graph is pseudo-.-hamiltonian is NP-complete for any given . ≥ 1. Surprisingly, deciding whether there exists an . ≥ 1 such that the graph is pseudo-.-hamiltonian, can be done in polynomial time. We also present suffi
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