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Jul 8, 2014 at 13:53 comment added Joseph O'Rourke "For example, the neighborhoods may be disks centered at buyers’ locations, and the radius of each disk specifies the maximum distance a buyer is willing to travel to the meeting place."
Jul 8, 2014 at 13:41 comment added Joseph O'Rourke I think if you look at the paper I cited, you will find your problem is not different. Don't be misled by Fig.1.
Jul 8, 2014 at 13:39 comment added lchen @JosephO'Rourke. Thanks. But my problem is different from TSP with neighbor. I am looking for a path (that touches each circle) shorter than the path that connects the centers of each circles.
Jul 8, 2014 at 12:52 history edited Joseph O'Rourke CC BY-SA 3.0
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Jul 8, 2014 at 12:50 comment added Joseph O'Rourke @EmilJeřábek: I stand corrected---Thanks. (Altered the language to avoid misleading.)
Jul 8, 2014 at 12:48 comment added Emil Jeřábek PTAS implies an approximation ratio arbitrarily close to 1. There is more than one algorithm in their paper, the PTAS algorithm is different from the 3.55 algorithm.
Jul 8, 2014 at 12:05 history edited Joseph O'Rourke CC BY-SA 3.0
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Jul 8, 2014 at 12:00 history answered Joseph O'Rourke CC BY-SA 3.0