This question should be answered on the page below. 15 B D 20 12 10 15 14 E 28 36 K 30 10 30 F The diagram above shows a number of satellite towns A, B, C, D, E and F surrounding a city K. The number on each edge give the length of the road in km. (a) Use Dijkstra's algorithm to find the shortest route from A to E in the network. Show your working in the boxes provided on the answer sheet. It is planned to link all the sites A, B, C, D, E and F and K by telephone lines laid alongside the roads. (b) Use Kruskal's algorithm to find a minimum spanning tree for the network and hence obtain the minimum total length of cable required. Draw your tree.

Computer Networking: A Top-Down Approach (7th Edition)
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Author:James Kurose, Keith Ross
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Dijkstra Algorithm 

This question should be answered on the page below.
15
B
D
20
12
10
15
14
E
28
36
K
30
10
30
F
The diagram above shows a number of satellite towns A, B, C, D, E and F surrounding a city K.
The number on each edge give the length of the road in km.
(a) Use Dijkstra's algorithm to find the shortest route from A to E in the network.
Show your working in the boxes provided on the answer sheet.
It is planned to link all the sites A, B, C, D, E and F and K by telephone lines laid alongside the
roads.
(b)
Use Kruskal's algorithm to find a minimum spanning tree for the network and hence
obtain the minimum total length of cable required. Draw your tree.
Transcribed Image Text:This question should be answered on the page below. 15 B D 20 12 10 15 14 E 28 36 K 30 10 30 F The diagram above shows a number of satellite towns A, B, C, D, E and F surrounding a city K. The number on each edge give the length of the road in km. (a) Use Dijkstra's algorithm to find the shortest route from A to E in the network. Show your working in the boxes provided on the answer sheet. It is planned to link all the sites A, B, C, D, E and F and K by telephone lines laid alongside the roads. (b) Use Kruskal's algorithm to find a minimum spanning tree for the network and hence obtain the minimum total length of cable required. Draw your tree.
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