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Bitonic tour - Wikipedia

    https://en.wikipedia.org/wiki/Bitonic_tour
    Optimal bitonic tours. The optimal bitonic tour is a bitonic tour of minimum total length. It is a standard exercise in dynamic programming to devise a polynomial time algorithm that constructs the optimal bitonic tour. Although the usual method for solving it in this way takes time (), a faster algorithm with time (⁡) is known.. The problem of constructing optimal bitonic tours is often ...

Bitonic tour - GitHub Pages

    http://marcodiiga.github.io/bitonic-tour
    Oct 03, 2015 · Bitonic tour. Oct 3, 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 most twice with any vertical line.. An example trace. As an example the following is not a bitonic tour while the following is

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

    https://metacpan.org/pod/Algorithm::TravelingSalesman::BitonicTour
    Sep 29, 2008 · Figure 15.9(b) shows the shortest bitonic tour of the same 7 points. In this case, a polynomial-time algorithm is possible. Describe an O(n^2)-time algorithm for determining an optimal bitonic tour. You may assume that no two points have the same x-coordinate.

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").

Assignment 4 - cs.huji.ac.il

    http://www.cs.huji.ac.il/course/2004/algo/Solutions/bitonic.pdf
    Hence, the tour cannot be bitonic. Observation 1 implies that edge (p n−1,p n) is present in any bitonic tour that visits all points. Hence, to find a shortest such tour, it suffices to concentrate on minimizing the length of the bitonic path from p n−1 to p n that is obtained by removing edge (p n−1,p n) from the tour.

Longest Bitonic Subsequence DP-15 - GeeksforGeeks

    https://www.geeksforgeeks.org/longest-bitonic-subsequence-dp-15/
    Jul 01, 2019 · Given an array arr[0 … n-1] containing n positive integers, a subsequence of arr[] is called Bitonic if it is first increasing, then decreasing. Write a function that takes an array as argument and returns the length of the longest bitonic subsequence.

java - Traveling Salesman Solution - Code Review Stack ...

    https://codereview.stackexchange.com/questions/182362/traveling-salesman-solution
    \$\begingroup\$ I'm interested in your last, 2nd to last and 4th to last points; can you expound on those? As for the naming convention things, yes I can improve there, but they don't really effect the functionality. To reference your first point, I'm caring more about the algorithm itself than proper Java etiquette, b/c as you said there are better languages.

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