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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

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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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
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
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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