Interactive end-of-chapter exercises


Dijkstra's Link State Algorithm (for computing least cost paths)

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


Using Dijkstra's algorithm, find the least cost path from source node U to all other destinations and answer the following questions



Question List


1. What is the shortest distance to node x and what node is its predecessor? Write your answer as n,p

2. What is the shortest distance to node z and what node is its predecessor? Write your answer as n,p

3. What is the shortest distance to node v and what node is its predecessor? Write your answer as n,p




Solution


1. The minimum distance from node u to node x is 6, and node x's predecessor is node u. The full answer was: 6,u

2. The minimum distance from node u to node z is 7, and node z's predecessor is node w. The full answer was: 7,w

3. The minimum distance from node u to node v is 4, and node v's predecessor is node u. The full answer was: 4,u



That's incorrect

That's correct

The answer was: 6,u

Question 1 of 3

The answer was: 7,w

Question 2 of 3

The answer was: 4,u

Question 3 of 3

Try Another Problem

We gratefully acknowledge the programming and problem design work of John Broderick (UMass '21), which has really helped to substantially improve this site.

Copyright © 2010-2022 J.F. Kurose, K.W. Ross
Comments welcome and appreciated: kurose@cs.umass.edu