Interactive end-of-chapter exercises


Dijkstra's Link State Algorithm - Advanced

Consider the incomplete 6-node network shown below, with the given link costs.

Consider the completed table below, which calculates the shortest distance to all nodes from V:
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|    Node     |    Shortest distance from V    |    Previous Node   |
================================================
       V                                0                                     n/a   
       U                                4                                     V   
       W                               5                                     V   
       X                                5                                     U   
       Y                                9                                     X   
       Z                                11                                   W   
================================================



Question List


1. For link X, what is the cost associated with this link? If the answer can't be determined given the information, respond with 'n/a'

2. For link Y, what is the cost associated with this link? If the answer can't be determined given the information, respond with 'n/a'




Solution


1. The prior node in the path to W is V, and we know the shortest distance of both W (5) and V (0), so 5 - 0 = 5 which is X.

2. The prior node in the path to Z is W, and we know the shortest distance of both Z (11) and W (5), so 11 - 5 = 6 which is Y.



That's incorrect

That's correct

The answer was: 5

Question 1 of 2

The answer was: 6

Question 2 of 2

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We greatly appreciate the work of John Broderick (UMass '21) in helping to develop these interactive problems.

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