The Nearest Neighbor Tour Starting With Vertex C Is Given By

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Repetitive Nearest Neighbour Algorithm

http://www.people.vcu.edu/~gasmerom/MAT131/repnearest.html

Repetitive Nearest Neighbour Algorithm. Pick a vertex and apply the Nearest Neighbour Algorithm with the vertex you picked as the starting vertex.; Repeat the algorithm (Nearest Neighbour Algorithm) for each vertex of the graph.Pick the best of all the hamilton circuits you got on Steps 1 and 2.; Rewrite the solution by using the home vertex as the starting point.

Chapter 6: The Mathematics of Touring

https://www.math.upenn.edu/~rimmer/math170/notes/unit6part4.pdf

Let Xbe any vertex. Find the nearest-neighbor tour with Xas the starting vertex, and calculate the cost of this tour. Repeat the process with each of the other vertices of the graph as the starting vertex. Of the nearest-neighbor tours thus obtained, choose one with least cost. If necessary, rewriteFile Size: 1MB

Euler and Hamiltonian Paths and Circuits Lumen Learning ...

https://courses.lumenlearning.com/math4liberalarts/chapter/introduction-euler-paths/

Starting at vertex B, the nearest neighbor circuit is BADCB with a weight of 4+1+8+13 = 26. This is the same circuit we found starting at vertex A. No better. Starting at vertex C, the nearest neighbor circuit is CADBC with a weight of 2+1+9+13 = 25. Better! Starting at vertex D, the nearest neighbor …

Repetitive Nearest Neighbor And Cheapest Link Algorithms ...

https://www.studocu.com/en-us/document/kent-state-university/explorations-in-modern-mathematics/other/repetitive-nearest-neighbor-and-cheapest-link-algorithms/1024818/view

If necessary, rewrite the tour so that it starts at the designating starting vertex. Example 1:For the weighted graph shown below, find the repetitive nearest-neighbor tour. Write the tour usingAas the starting vertex. A. B E. C D. F. 25. 28 16. 17. 19. 24. 30. 27. 23 20 19. 18. 41 19. 32. 2 MATH 11008: REPETITIVE NEAREST NEIGHBOR AND CHEAPEST ...

MATH 11008: Brute-Force and Nearest Neighbor Algorithms ...

http://www.personal.kent.edu/~bosikiew/Math11008/brute_nearest.pdf

Example 3: For the weighted graph shown below, flnd the indicated tour and give its cost. A C B D 80 40 30 60 20 25 (a) Use the Brute Force Algorithm to flnd an optimal tour. (b) Use the nearest-neighbor algorithm with starting vertex A. (c) Use the nearest-neighbor algorithm with starting vertex C.

Finding a Hamiltonian Circuit using Nearest-neighbor algorithm

https://mathoverflow.net/questions/96745/finding-a-hamiltonian-circuit-using-nearest-neighbor-algorithm

Starting at A, you travel to C. You can then travel to either B or D, at which point your only choice is to go back to A. So if you go from A to C, you can't complete the loop and construct a Hamiltonian circuit even though one exists.

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