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Approximation algorithms for the maximum Hamiltonian path problem with specified endpoint(s)

delete2005-03-01
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Jérôme Monnot
DOI:10.1016/j.ejor.2003.09.007delete
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摘要

摘要

En 中文
This paper deals with the problem of constructing Hamiltonian paths of optimal weight, called HPPs,t if the two endpoints are specified, HPPs if bnly one endpoint is specified. We show that HPPs,t is 1/2-differential approximable and HPPs is 2/3-differential approximable. Moreover, we observe that these problems cannot be differential approximable better than 741/742. Based, upon these results, we obtain new bounds for standard ratio: a 1/2-standard approximation for M-A x HPPs,t and a 2/3 for M-A x HPPs, which can be improved to 2/3 for M-A x HPPs,t [a,2a] (all the edge weights are within an interval [a, 2a]), to 5/6 for M-A x HPPs [a, 2a] and to 2/3 for M-IN HPPs,t [a, 2a], to 3/4 for M-IN HPPs [a, 2a]. (C) 2003 Elsevier B.V. All rights reserved.
Keyword:
approximate algorithms
differential ratio
complexity theory
combinatorial optimization
performance ratio
analysis of algorithms
Hamiltonian paths
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期刊

European Journal of Operational Research 封面图
European Journal of Operational Research
IF:
6
论文数:
2.2W
被引数:
6.4W

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