in the same The wirehouse Lumber Company will soon begin logging eight groves of general area. Therefore, it must develop a system of dirt roads that makes each grove accessible from every other grove. The distance (in miles) between every pair of groves is as follows: Grove 1 2 3 4 5 6 8 1 1.3 2.1 0.9 0.7 1.8 2.0 1.5 Distance between Pairs of Groves 4 5 6 2 3 1.3 2.1 0.9 0.9 0.7 1.8 1.2 2.6 1.7 0.7 0.9 1.8 2.6 1.2 1.7 0.7 2.6 2.5 1.6 0.9 2.3 1.1 1.0 7 1.8 2.6 2.3 2.5 1.9 1.6 0.9 2.0 1.5 1.1 1.0 0.9 0.8 1.0 0.5 1.5 1.1 0.6 8 1.5 1.1 0.6 0.9 0.8 1.0 0.5 Management now wishes to determine between which pairs of groves the roads should be constructed to connect all groves with a minimum total length of road. Use the Greedy (Prim's) lgorithm described in Sec. 10.4 to solve this minimum spanning tree problem. What is the ninimum total length of road? Display your MST by adding links and miles on the network below.

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Author:James Kurose, Keith Ross
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The Wirehouse Lumber Company will soon begin logging eight groves of trees in the same
general area. Therefore, it must develop a system of dirt roads that makes each grove accessible
from every other grove. The distance (in miles) between every pair of groves is as follows:
Grove
123 +
4
5
1
3 2.1
6
7
8
1.3
Distance between Pairs of Groves
2
1.3
0.9
0.7
1.8
2.0 2.3
1.5 1.1
3
2.1
0.9
7
4 5 6 7
0.9
1.8 2.6
1.2
1.7
0.7
2.6 2.5 1.6 0.9
1.9
1.5
1.1 0.6
1.0
0.9 0.8 1.0 0.5
6
0.9
1.8
2.6
Management now wishes to determine between which pairs of groves the roads should be
constructed to connect all groves with a minimum total length of road. Use the Greedy (Prim's)
algorithm described in Sec. 10.4 to solve this minimum spanning tree problem. What is the
minimum total length of road? Display your MST by adding links and miles on the network below.
1
0.7
1.8
2.0
1.5
1.2 2.6 2.3
1.1
1.7 2.5
1.9
1.0
0.7
1.6 1.5 0.9
0.9
1.1
0.8
0.6
1.0
0.5
5
8
2
3
Transcribed Image Text:The Wirehouse Lumber Company will soon begin logging eight groves of trees in the same general area. Therefore, it must develop a system of dirt roads that makes each grove accessible from every other grove. The distance (in miles) between every pair of groves is as follows: Grove 123 + 4 5 1 3 2.1 6 7 8 1.3 Distance between Pairs of Groves 2 1.3 0.9 0.7 1.8 2.0 2.3 1.5 1.1 3 2.1 0.9 7 4 5 6 7 0.9 1.8 2.6 1.2 1.7 0.7 2.6 2.5 1.6 0.9 1.9 1.5 1.1 0.6 1.0 0.9 0.8 1.0 0.5 6 0.9 1.8 2.6 Management now wishes to determine between which pairs of groves the roads should be constructed to connect all groves with a minimum total length of road. Use the Greedy (Prim's) algorithm described in Sec. 10.4 to solve this minimum spanning tree problem. What is the minimum total length of road? Display your MST by adding links and miles on the network below. 1 0.7 1.8 2.0 1.5 1.2 2.6 2.3 1.1 1.7 2.5 1.9 1.0 0.7 1.6 1.5 0.9 0.9 1.1 0.8 0.6 1.0 0.5 5 8 2 3
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