A pipeline is to be built that will link six cities. The cost (in hundreds of millions of Yuan) of constructing each potential link is shown in the weighted graph. Find a system of pipelines to connect all the cities and yet minimize the total cost. (1) Show the system of pipelines. Give the minimum total cost. (2) A. 19 C' 25 29 12 15 16 8 D 22 B F 17 11

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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6.
A pipeline is to be built that will
link six cities. The cost (in hundreds of
millions of Yuan) of constructing each
potential link is shown in the weighted graph.
Find a system of pipelines to connect all the
cities and yet minimize the total cost.
(1)
Show the system of pipelines.
Give the minimum total cost.
(2)
A.
19
C'
25
29
12
15
16
F
17
22
D
11
18
E
Transcribed Image Text:6. A pipeline is to be built that will link six cities. The cost (in hundreds of millions of Yuan) of constructing each potential link is shown in the weighted graph. Find a system of pipelines to connect all the cities and yet minimize the total cost. (1) Show the system of pipelines. Give the minimum total cost. (2) A. 19 C' 25 29 12 15 16 F 17 22 D 11 18 E
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