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- W2020813360 abstract "Papadimitriou and Steiglitz constructed 'traps' for the symmetric travelling salesman problem (TSP) with n = 8k cities. The constructed problem instances have exponentially many suboptimal solutions with arbitrarily large weight, which differ from the unique optimal solution in exactly 3k edges, and hence local search algorithms are ineffective to solve this problem. However, we show that this class of 'catastrophic' examples can be solved by linear programming relaxation appended with k subtour elimination constraints. It follows that this class of problem instances of TSP can be optimized in polynomial time." @default.
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- W2020813360 modified "2023-09-24" @default.
- W2020813360 title "A polynomial-time solution to Papadimitriou and Steiglitz's ‘traps’" @default.
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- W2020813360 doi "https://doi.org/10.1016/0167-6377(88)90077-6" @default.
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