3. The six towns below need to be connected with gas pipes. The numbers on each edge represent the distances in km. B 16 A 8 2. 12 4 E (a) Express the distances between each town in a matrix. (b) Use Prim's algorithm starting with node E to find the minimum total length of gas pipes needed. (c) Is the solution to part b unique or are there multiple minimum spanning tree's for this network? Provide an example with your answer. 10

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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3. The six towns below need to be connected with gas pipes. The numbers
on each edge represent the distances in km.
B.
16
A
8
12
3
(a) Express the distances between each town in a matrix.
(b) Use Prim's algorithm starting with node E to find the minimum
total length of gas pipes needed.
(c) Is the solution to part b unique or are there multiple minimum
spanning tree's for this network? Provide an example with your
answer.
10
Transcribed Image Text:3. The six towns below need to be connected with gas pipes. The numbers on each edge represent the distances in km. B. 16 A 8 12 3 (a) Express the distances between each town in a matrix. (b) Use Prim's algorithm starting with node E to find the minimum total length of gas pipes needed. (c) Is the solution to part b unique or are there multiple minimum spanning tree's for this network? Provide an example with your answer. 10
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