Lars Engebretsen, Marek Karpinski

The general asymmetric (and metric) TSP is known to be approximable

only to within an O(log n) factor, and is also known to be

approximable within a constant factor as soon as the metric is

bounded. In this paper we study the asymmetric and symmetric TSP

problems with bounded metrics ...
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Piotr Berman, Marek Karpinski

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 of 7/6 for that problem. As a direct application we get a 7/6-approximation algorithm for the Maximum Path Cover Problem, similarily ... more >>>

Marek Karpinski

We present in this paper some of the recent techniques and methods for proving best up to now explicit approximation hardness bounds for metric symmetric and asymmetric Traveling Salesman Problem (TSP) as well as related problems of Shortest Superstring and Maximum Compression. We attempt to shed some light on the ... more >>>