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# Improved Approximation Ratios for Traveling Salesperson Tours and Paths in Directed Graphs

@inproceedings{Feige2007ImprovedAR, title={Improved Approximation Ratios for Traveling Salesperson Tours and Paths in Directed Graphs}, author={Uriel Feige and Mohit Singh}, booktitle={APPROX-RANDOM}, year={2007} }

- Published 2007 in APPROX-RANDOM
DOI:10.1007/978-3-540-74208-1_8

In metric asymmetric traveling salesperson problems the input is a complete directed graph in which edge lengths satisfy the triangle inequality, and one is required to find a minimum length walk that visits all vertices. In ATSP the walk is required to be cyclic. In asymmetric traveling salesperson path problem (ATSPP), the walk is required to start at vertex s and to end at vertex t. We improve the approximation ratio for ATSP from 43 log3 n ' 0.842 log2 n to 23 log2 n. This improvement is… CONTINUE READING

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