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9. Distances between six islands in the Pacific Ocean are given in the accompanying table. The government of the islands would like to establish telephone connections between all the islands, using the smallest possible amount of submarine telephone cable. To help the government, find the minimal spanning tree for the six islands. Specify which islands should be connected and the total length of telephone cable needed. Distance (miles) To А B C D E F From A 100 70 80 90 140 В 100 170 180 190 250 C 70 170 10 20 70 D 80 180 10 10 60 10 60 E 90 190 20 50 F 140 250 70 50

9. Distances between six islands in the Pacific Ocean are given in the accompanying table. The government of the islands would like to establish telephone connections between all the islands, using the smallest possible amount of submarine telephone cable. To help the government, find the minimal spanning tree for the six islands. Specify which islands should be connected and the total length of telephone cable needed. Distance (miles) To А B C D E F From A 100 70 80 90 140 В 100 170 180 190 250 C 70 170 10 20 70 D 80 180 10 10 60 10 60 E 90 190 20 50 F 140 250 70 50

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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9. Distances between six islands in the Pacific Ocean are given in the accompanying table. The government of the islands would like to establish telephone connections between all the islands, using the smallest possible amount of submarine telephone cable. To help the government, find the minimal spanning tree for the six islands. Specify which islands should be connected and the total length of telephone cable needed. Distance (miles) To А B C D E F From A 100 70 80 90 140 В 100 170 180 190 250 C 70 170 10 20 70 D 80 180 10 10 60 10 60 E 90 190 20 50 F 140 250 70 50
Transcribed Image Text:9. Distances between six islands in the Pacific Ocean are given in the accompanying table. The government of the islands would like to establish telephone connections between all the islands, using the smallest possible amount of submarine telephone cable. To help the government, find the minimal spanning tree for the six islands. Specify which islands should be connected and the total length of telephone cable needed. Distance (miles) To А B C D E F From A 100 70 80 90 140 В 100 170 180 190 250 C 70 170 10 20 70 D 80 180 10 10 60 10 60 E 90 190 20 50 F 140 250 70 50
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