Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Please help me answer my homework.

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.
expand button
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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Follow-up Question

Can you answer letter C please.

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.
expand button
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.
Solution
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Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question

Can you answer letter C please.

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.
expand button
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.
Solution
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by Bartleby Expert
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