9.4-2. 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: Distance between Pairs of Groves 1 3 1,3 2.1 0.9 0.7 1.2 1.7 1.8 2.6 2.5 2.0 2.3 1.9 1.5 0.9 1.1 1.5 1.1 0.9 bolalg - 1.3 1.8 2.1 0.9 2.6 1.0 Grove 0.9 1.8 1.2 2.6 2.3 1.1 2.6 1.7 2.51.6 0.9 0.6 0.7 1.6 0.9 0.7 0.7 0.8 9. 1.8 1.0 7. 8 1.9 1.5 1.1 0.8 2.0 0.6 0.5 1.5 1.0 0.9 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. (a) Describe how this problem fits the network description of the minimum spanning tree problem. (b) Use the algorithm described in Sec. 9.4 to solve the problem, 123 4S67 00

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9.4-2. 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:
taed ard
Distance between Pairs of Groves
1
3
4
5
8
2.0
1.5
1.1
1.3
2.1
0.9
0.7
1.8
bonlgm
borou
1.3
0.9
1.8
1.2
2.6
2.3
3
2.1
0.9
2.6
1.7
2.5
off
1.9
1.0
Grove
0.9
1.8
2.6
0.7
1.6
1.5
0.9
0.7
1.2
1.7
0.7
0.9
1.1
0.8
1.0
0.5
6.
1.8
2.6
2.5
1.6 0.9
0.6
7.
1.5
2.0
2.3
1.91.5
1.1
0.6
8.
1.1
1.0
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.
(a) Describe how this problem fits the network description of the
minimum spanning tree problem.
(b) Use the algorithm described in Sec. 9.4 to solve the problem,
Laal
2.
Transcribed Image Text:9.4-2. 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: taed ard Distance between Pairs of Groves 1 3 4 5 8 2.0 1.5 1.1 1.3 2.1 0.9 0.7 1.8 bonlgm borou 1.3 0.9 1.8 1.2 2.6 2.3 3 2.1 0.9 2.6 1.7 2.5 off 1.9 1.0 Grove 0.9 1.8 2.6 0.7 1.6 1.5 0.9 0.7 1.2 1.7 0.7 0.9 1.1 0.8 1.0 0.5 6. 1.8 2.6 2.5 1.6 0.9 0.6 7. 1.5 2.0 2.3 1.91.5 1.1 0.6 8. 1.1 1.0 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. (a) Describe how this problem fits the network description of the minimum spanning tree problem. (b) Use the algorithm described in Sec. 9.4 to solve the problem, Laal 2.
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