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 U:
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|    Node     |    Shortest distance from U    |    Previous Node   |
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       U                                0                                     n/a   
       V                                2                                     U   
       X                                5                                     V   
       W                               7                                     V   
       Y                                8                                     W   
       Z                                13                                   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 Z is W, and we know the shortest distance of both Z (13) and W (7), so 13 - 7 = 6 which is X.

2. The prior node in the path to Y is W, and we know the shortest distance of both Y (8) and W (7), so 8 - 7 = 1 which is Y.



That's incorrect

That's correct

The answer was: 6

Question 1 of 2

The answer was: 1

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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