3) The following graph illustrates 5 cities and the number of hours it takes to go from one city to
3) The following graph illustrates 5 cities and the number of hours it takes to go from one city to
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter87: An Introduction To G- And M-codes For Cnc Programming
Section: Chapter Questions
Problem 20A
Related questions
Question
![3) The following graph illustrates 5 cities and the number of hours it takes to go from one city to
another city. Find and state the circuit that will minimize the time it takes to make a round trip
starting at city E:
A
E
9
3
11
2
5
15
D
с
a) Using the Nearest Neighbor
St. Louis
Kansas City $52
Ok. City
$70
Des Moines $445
Little Rock $64
b) Using the Repeated Nearest Neighbor
c) Using Sorted Edges
-
4) The costs of one-way flights between several U.S. cities are listed below:
St. Louis Kansas City Ok. City Des Moines Little Rock
$52
$70 $445
$64
$64
$195
$402
4
-
$64
$195
$83
$402
$96 $352
d) Using Sorted Edges
a) Create a weighted graph that illustrates this information. Put the graph in the space to the right
of the table.
$83
$96
$352
Find and state the route that will estimate the minimum cost for a trip that starts in Des Moines,
travels to all the other cities once, and then returns to Des Moines:
b) Using the Nearest Neighbor
c) Using the Repeated Nearest Neighbor](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8408e70b-08d6-4b4e-892e-f893e87d95b4%2F849739e0-f988-43a6-892d-9145cd899b44%2Frkz4sa8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:3) The following graph illustrates 5 cities and the number of hours it takes to go from one city to
another city. Find and state the circuit that will minimize the time it takes to make a round trip
starting at city E:
A
E
9
3
11
2
5
15
D
с
a) Using the Nearest Neighbor
St. Louis
Kansas City $52
Ok. City
$70
Des Moines $445
Little Rock $64
b) Using the Repeated Nearest Neighbor
c) Using Sorted Edges
-
4) The costs of one-way flights between several U.S. cities are listed below:
St. Louis Kansas City Ok. City Des Moines Little Rock
$52
$70 $445
$64
$64
$195
$402
4
-
$64
$195
$83
$402
$96 $352
d) Using Sorted Edges
a) Create a weighted graph that illustrates this information. Put the graph in the space to the right
of the table.
$83
$96
$352
Find and state the route that will estimate the minimum cost for a trip that starts in Des Moines,
travels to all the other cities once, and then returns to Des Moines:
b) Using the Nearest Neighbor
c) Using the Repeated Nearest Neighbor
![Math 107
Graph Theory WHS #2
Read all directions before answering a question. This assignment is conceptual in nature so no work is needed
BUT be sure to be clear and state all answers in complete sentences where needed. Write answers on this
sheet.
1) Determine which, if any, of the given graphs and paths is/are a Hamilton circuit. There can be more
than one answer. Either circle the letter(s) that represent the graph that does OR write the letter (s)
on the line provided. If none has a Hamilton circuit, state NONE on the line provided.
A
E
ADC BEA
А
Name
B
B
B
D
AFED ABC
C
2) Determine which of the graphs has a Hamilton circuit, it any. There can be more than one answer.
Either circle the letter(s) that represent the graph that does OR write the letter (s) on the line
provided. If none has a Hamilton circuit, state NONE on the line provided.
ÅÙÚDA
DE
F
FB → DA E C](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8408e70b-08d6-4b4e-892e-f893e87d95b4%2F849739e0-f988-43a6-892d-9145cd899b44%2Fclm842_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Math 107
Graph Theory WHS #2
Read all directions before answering a question. This assignment is conceptual in nature so no work is needed
BUT be sure to be clear and state all answers in complete sentences where needed. Write answers on this
sheet.
1) Determine which, if any, of the given graphs and paths is/are a Hamilton circuit. There can be more
than one answer. Either circle the letter(s) that represent the graph that does OR write the letter (s)
on the line provided. If none has a Hamilton circuit, state NONE on the line provided.
A
E
ADC BEA
А
Name
B
B
B
D
AFED ABC
C
2) Determine which of the graphs has a Hamilton circuit, it any. There can be more than one answer.
Either circle the letter(s) that represent the graph that does OR write the letter (s) on the line
provided. If none has a Hamilton circuit, state NONE on the line provided.
ÅÙÚDA
DE
F
FB → DA E C
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