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S Worksheet 2- Math 101 (USE A PENCIL) 1) Shown in the table below are the one-way airfares between 5 cities. Create a graph showing this data and label the vertices (You can use H= Honolulu, L=London, etc.). Label the edges with the prices. I O Seattle Honolulu H London Moscow Honolulu London $159 $370 $830 C O L Moscow $654 $854 $245 OM Cairo $684 $801 $323 $329 S H 159 870 370 684 2) Use the nearest neighbor algorithm, starting with vertex L, to find the approximately least cost Hami List both the order of the cities visited as well as the cost. 01 L 654 C Cost: Order (circuit): M Use the best edge algorithm to find the approximately least cost Hamilton circuit. Then, write your final answer starting with vertex L. rcuit. Order (Circuit):

S Worksheet 2- Math 101 (USE A PENCIL) 1) Shown in the table below are the one-way airfares between 5 cities. Create a graph showing this data and label the vertices (You can use H= Honolulu, L=London, etc.). Label the edges with the prices. I O Seattle Honolulu H London Moscow Honolulu London $159 $370 $830 C O L Moscow $654 $854 $245 OM Cairo $684 $801 $323 $329 S H 159 870 370 684 2) Use the nearest neighbor algorithm, starting with vertex L, to find the approximately least cost Hami List both the order of the cities visited as well as the cost. 01 L 654 C Cost: Order (circuit): M Use the best edge algorithm to find the approximately least cost Hamilton circuit. Then, write your final answer starting with vertex L. rcuit. Order (Circuit):

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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S O H Name ant Adams Worksheet 2 - Math 101 (USE A PENCIL) 1) Shown in the table below are the one-way airfares between 5 cities. Create a graph showing this data and label the vertices (You can use H= Honolulu, L=London, etc.). Label the edges with the prices. Seattle Honolulu London Moscow H I O Honolulu London Moscow $654 $159 $370 $830 $854 $245 ос O L O ом Cairo $684 $801 $323 $329 S L H 870 370 2) Use the nearest neighbor algorithm, starting with vertex L, to find the approximately least cost Hami List both the order of the cities visited as well as the cost. YOL 684 854 654 Cost: L C Methods To Find The Optimal Circuit 1) Brute Force Method (this is the only method that guarantees the optimal solution). However, with a large set of vertices, this can be very time consuming-even with a computer! Order (circuit): M 2) Nearest Neighbor Method (does not guarant optimal solution) 3) Use the best edge algorithm to find the approximately least cost Hamilton circuit. Then, write your final answer starting with vertex L. Order (Circuit): 3) Best Edge Method or Cheapest link Method(does not guarantee opti rcuit.
Transcribed Image Text:S O H Name ant Adams Worksheet 2 - Math 101 (USE A PENCIL) 1) Shown in the table below are the one-way airfares between 5 cities. Create a graph showing this data and label the vertices (You can use H= Honolulu, L=London, etc.). Label the edges with the prices. Seattle Honolulu London Moscow H I O Honolulu London Moscow $654 $159 $370 $830 $854 $245 ос O L O ом Cairo $684 $801 $323 $329 S L H 870 370 2) Use the nearest neighbor algorithm, starting with vertex L, to find the approximately least cost Hami List both the order of the cities visited as well as the cost. YOL 684 854 654 Cost: L C Methods To Find The Optimal Circuit 1) Brute Force Method (this is the only method that guarantees the optimal solution). However, with a large set of vertices, this can be very time consuming-even with a computer! Order (circuit): M 2) Nearest Neighbor Method (does not guarant optimal solution) 3) Use the best edge algorithm to find the approximately least cost Hamilton circuit. Then, write your final answer starting with vertex L. Order (Circuit): 3) Best Edge Method or Cheapest link Method(does not guarantee opti rcuit.
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