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9. A developer is planning a new community and they need to find a least expensive way to hook each house up to the water supply. In the graph below the vertices are the houses and the edges are the ways they are considering to run the water lines. The weights on the edges are the costs, in thousands of dollars, for each section of pipe. Use a spanning tree (drawn on the graph) to find the least expensive way to connect these houses. Write the total cost to the right of the graph. 3. 8. 5. 7 3 3

9. A developer is planning a new community and they need to find a least expensive way to hook each house up to the water supply. In the graph below the vertices are the houses and the edges are the ways they are considering to run the water lines. The weights on the edges are the costs, in thousands of dollars, for each section of pipe. Use a spanning tree (drawn on the graph) to find the least expensive way to connect these houses. Write the total cost to the right of the graph. 3. 8. 5. 7 3 3

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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9. A developer is planning a new community and they need to find a least expensive way to hook each house up to the water supply. In the graph below the vertices are the houses and the edges are the ways they are considering to run the water lines. The weights on the edges are the costs, in thousands of dollars, for each section of pipe. Use a spanning tree (drawn on the graph) to find the least expensive way to connect these houses. Write the total cost to the right of the graph. 6. 3 8. 7 3 5, 7 3 6. 4 3, 6. 4 10. How many colors would you need to color a tree (the graph kind, not the leafy kind)? Give your answer and explain why it works. 00
Transcribed Image Text:9. A developer is planning a new community and they need to find a least expensive way to hook each house up to the water supply. In the graph below the vertices are the houses and the edges are the ways they are considering to run the water lines. The weights on the edges are the costs, in thousands of dollars, for each section of pipe. Use a spanning tree (drawn on the graph) to find the least expensive way to connect these houses. Write the total cost to the right of the graph. 6. 3 8. 7 3 5, 7 3 6. 4 3, 6. 4 10. How many colors would you need to color a tree (the graph kind, not the leafy kind)? Give your answer and explain why it works. 00
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