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The table below shows the distances of towns A, B, C, D, E, and F from each other, in km. Town A Town B Town C Town D Town E Town F Town A * 38 30 15 35 11 Town B 38 * 14 21 19 16 Town C 30 14 * 40 23 27 Town D 15 21 40 * 12 17 Town E 35 19 23 12 * 41 Town F 11 16 27 17 41 A. Let the town be the vertices of a graph, and the distances in km be the weight of the edge connecting the vertices. Create a complete weighted graph of the table from the previous slide. B. Consider a salesman who must make exactly one stop in each town before heading back to his starting place (Hamilton circuit). Using the nearest neighbor method, determine the shortest route available across the towns.

The table below shows the distances of towns A, B, C, D, E, and F from each other, in km. Town A Town B Town C Town D Town E Town F Town A * 38 30 15 35 11 Town B 38 * 14 21 19 16 Town C 30 14 * 40 23 27 Town D 15 21 40 * 12 17 Town E 35 19 23 12 * 41 Town F 11 16 27 17 41 A. Let the town be the vertices of a graph, and the distances in km be the weight of the edge connecting the vertices. Create a complete weighted graph of the table from the previous slide. B. Consider a salesman who must make exactly one stop in each town before heading back to his starting place (Hamilton circuit). Using the nearest neighbor method, determine the shortest route available across the towns.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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III. The table below shows the distances of towns A, B, C, D, E, and F from each other, in km. Town A Town B Town C Town D Town E Town F Town A * 38 30 15 35 11 Town B 38 * 14 21 19 16 Town C 30 14 * 40 23 27 Town D 15 21 40 * 12 17 Town E 35 19 23 12 * 41 Town F 11 16 27 17 41 * A. Let the town be the vertices of a graph, and the distances in km be the weight of the edge connecting the vertices. Create a complete weighted graph of the table from the previous slide. B. Consider a salesman who must make exactly one stop in each town before heading back to his starting place (Hamilton circuit). Using the nearest neighbor method, determine the shortest route available across the towns. C. Consider a salesman who must make exactly one stop in each town before heading back to his starting place (Hamilton circuit). Using the cheapest link algorithm, determine the shortest route available across the towns.
Transcribed Image Text:III. The table below shows the distances of towns A, B, C, D, E, and F from each other, in km. Town A Town B Town C Town D Town E Town F Town A * 38 30 15 35 11 Town B 38 * 14 21 19 16 Town C 30 14 * 40 23 27 Town D 15 21 40 * 12 17 Town E 35 19 23 12 * 41 Town F 11 16 27 17 41 * A. Let the town be the vertices of a graph, and the distances in km be the weight of the edge connecting the vertices. Create a complete weighted graph of the table from the previous slide. B. Consider a salesman who must make exactly one stop in each town before heading back to his starting place (Hamilton circuit). Using the nearest neighbor method, determine the shortest route available across the towns. C. Consider a salesman who must make exactly one stop in each town before heading back to his starting place (Hamilton circuit). Using the cheapest link algorithm, determine the shortest route available across the towns.
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III. The table below shows the distances of towns A, B, C, D, E, and F from each other, in km. Town A Town B Town C Town D Town E Town F Town A * 38 30 15 35 11 Town B 38 * 14 21 19 16 Town C 30 14 * 40 23 27 Town D 15 21 40 * 12 17 Town E 35 19 23 12 * 41 Town F 11 16 27 17 41 * A. Let the town be the vertices of a graph, and the distances in km be the weight of the edge connecting the vertices. Create a complete weighted graph of the table from the previous slide. B. Consider a salesman who must make exactly one stop in each town before heading back to his starting place (Hamilton circuit). Using the nearest neighbor method, determine the shortest route available across the towns. C. Consider a salesman who must make exactly one stop in each town before heading back to his starting place (Hamilton circuit). Using the cheapest link algorithm, determine the shortest route available across the towns.
Transcribed Image Text:III. The table below shows the distances of towns A, B, C, D, E, and F from each other, in km. Town A Town B Town C Town D Town E Town F Town A * 38 30 15 35 11 Town B 38 * 14 21 19 16 Town C 30 14 * 40 23 27 Town D 15 21 40 * 12 17 Town E 35 19 23 12 * 41 Town F 11 16 27 17 41 * A. Let the town be the vertices of a graph, and the distances in km be the weight of the edge connecting the vertices. Create a complete weighted graph of the table from the previous slide. B. Consider a salesman who must make exactly one stop in each town before heading back to his starting place (Hamilton circuit). Using the nearest neighbor method, determine the shortest route available across the towns. C. Consider a salesman who must make exactly one stop in each town before heading back to his starting place (Hamilton circuit). Using the cheapest link algorithm, determine the shortest route available across the towns.
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