8 / 7 - Approximation Algorithm for ( 1 , 2 ) - TSP ∗ ( Extended Version ) Piotr Berman
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چکیده
We design a polynomial time 8/7-approximation algorithm for the Traveling Salesman Problem in which all distances are either one or two. This improves over the best known approximation factor for that problem. As a direct application we get a 7/6-approximation algorithm for the Maximum Path Cover Problem, similarly improving upon the best known approximation factor for that problem. The result depends on a new method of consecutive path cover improvements and on a new analysis of certain related color alternating paths. This method could be of independent interest.
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تاریخ انتشار 2006