Bitonic Tour

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Bitonic tour - GitHub Pages

http://marcodiiga.github.io/bitonic-tour

Oct 03, 2015 · In computational geometry the bitonic tour of a set of points is a closed polygonal chain formed by all the vertices in the set and that has the property of intersecting at …

Algorithm::TravelingSalesman::BitonicTour - solve the ...

https://metacpan.org/pod/Algorithm::TravelingSalesman::BitonicTour

Sep 29, 2008 · In computational geometry, a bitonic tour of a set of point sites in the Euclidean plane is a closed polygonal chain that has each site as one of its vertices, such that any vertical line crosses the chain at most twice.

algorithm - How to compute optimal paths for traveling ...

https://stackoverflow.com/questions/874982/how-to-compute-optimal-paths-for-traveling-salesman-bitonic-tour

The essential property of a bitonic tour is that a vertical line in the coordinate system crosses a side of the closed polygon at most twice. So, what is a bitonic tour of exactly two points? Clearly, any two points form a (degenerate) bitonic tour. Three points have two bitonic tours ("clockwise" and "counterclockwise").

15-3 Bitonic euclidean - CLRS Solutions

https://walkccc.github.io/CLRS/Chap15/Problems/15-3/

J. L. Bentley has suggested that we simplify the problem by restricting our attention to bitonic tours, that is, tours that start at the leftmost point, go strictly rightward to the rightmost point, and then go strictly leftward back to the starting point. Figure 15.11(b) shows the shortest bitonic tour …

Tutorial 3 - Lunds tekniska högskola

http://fileadmin.cs.lth.se/cs/Personal/Rolf_Karlsson/tut3.pdf

Tutorial 3 Dynamic programming Problem 15.3 (405): Give an O(n2)-time algorithm for finding an optimal bitonic traveling-salesman tour. Scan left to right, maintaining optimal possibilities for the two parts of the tour.

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