R-13.17 - There are eight small islands in a lake, and the state wants to build seven bridges to connect them so that each island can be reached from any other one via one or more bridges. The cost of constructing a bridge is proportional to its length. The distances between pairs of islands are given in the following table. Find which bridges to build to minimize the total construction cost.

Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
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Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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R-13.17 - There are eight small islands in a lake, and the state wants to build seven bridges to connect them so that each island can be reached from any other one via one or more bridges. The cost of constructing a bridge is proportional to its length. The distances between pairs of islands are given in the following table.

Find which bridges to build to minimize the total construction cost.

12345678
3
5
12 3 4
240 210
265
I
I
I
I
I
II
I
I
1
340 280 200
280
200
I
5
175 215
180
180
260
115
350
160 330
360
I
I
6
I
II
I
I
I
7
345
185
185
8
120
155
435
435
195
295 230
400
400
175
170
205
305
Transcribed Image Text:12345678 3 5 12 3 4 240 210 265 I I I I I II I I 1 340 280 200 280 200 I 5 175 215 180 180 260 115 350 160 330 360 I I 6 I II I I I 7 345 185 185 8 120 155 435 435 195 295 230 400 400 175 170 205 305
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