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 X:
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|    Node     |    Shortest distance from X    |    Previous Node   |
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       X                                0                                     n/a   
       U                                3                                     X   
       V                                3                                     X   
       W                               4                                     U   
       Y                                5                                     W   
       Z                                9                                     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 (9) and W (4), so 9 - 4 = 5 which is X.

2. Because the link is never used, we cannot determine the value of Y, so the answer is n/a.



That's incorrect

That's correct

The answer was: 5

Question 1 of 2

The answer was: n/a

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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