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1) Definitions. The graph below shows 5 cities. The weights on the edges represent the airfare for a one-way flight between the cities. a. How many vertices and edges does the graph have? b. Is the graph connected? c. What is the degree of the vertex representing LA? d. If you fly from Seattle to Dallas to Atlanta, is that a path or a circuit? And what is its cost? e. If you fly from LA to Chicago to Dallas to LA, is that a path or a circuit? And what is its cost? f. Is the graph a complete graph? If so, how many Hamiltonian circuits does it have? Seattle LA $100 $70 $150- $145 Chicago $170 $75 $120 $140 $165 $85 Atlanta Dallas

1) Definitions. The graph below shows 5 cities. The weights on the edges represent the airfare for a one-way flight between the cities. a. How many vertices and edges does the graph have? b. Is the graph connected? c. What is the degree of the vertex representing LA? d. If you fly from Seattle to Dallas to Atlanta, is that a path or a circuit? And what is its cost? e. If you fly from LA to Chicago to Dallas to LA, is that a path or a circuit? And what is its cost? f. Is the graph a complete graph? If so, how many Hamiltonian circuits does it have? Seattle LA $100 $70 $150- $145 Chicago $170 $75 $120 $140 $165 $85 Atlanta Dallas

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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1) Definitions. The graph below shows 5 cities. The weights on the edges represent the airfare for a one-way flight between the cities. a. How many vertices and edges does the graph have? b. Is the graph connected? c. What is the degree of the vertex representing LA? d. If you fly from Seattle to Dallas to Atlanta, is that a path or a circuit? And what is its cost? e. If you fly from LA to Chicago to Dallas to LA, is that a path or a circuit? And what is its cost? f. Is the graph a complete graph? If so, how many Hamiltonian circuits does it have? Seattle LA $100 $70 $150- $145 Chicago $170 $75 $120 $140 $165 $85 Atlanta Dallas
Transcribed Image Text:1) Definitions. The graph below shows 5 cities. The weights on the edges represent the airfare for a one-way flight between the cities. a. How many vertices and edges does the graph have? b. Is the graph connected? c. What is the degree of the vertex representing LA? d. If you fly from Seattle to Dallas to Atlanta, is that a path or a circuit? And what is its cost? e. If you fly from LA to Chicago to Dallas to LA, is that a path or a circuit? And what is its cost? f. Is the graph a complete graph? If so, how many Hamiltonian circuits does it have? Seattle LA $100 $70 $150- $145 Chicago $170 $75 $120 $140 $165 $85 Atlanta Dallas
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