3 1 с 3. Dijkstra and Transitive Closure (a) For this question, use the diagram in Figure 3 น 2 a 4 5 9 220 20 60 2 b d f 5 10 6 19 P Figure 3: A graph i. Find the shortest path from u to v using Dijkstra's algorithm. ii. What is the shortest distance from u to v. (b) For this question, use the relation R = {(1,4), (2,3), (3,2), (4,2)} on {1,2,3,4} i. Explain why R is not symmetric ii. Use the Warshall-Floyd algorithm to find the transitive closure of R
3 1 с 3. Dijkstra and Transitive Closure (a) For this question, use the diagram in Figure 3 น 2 a 4 5 9 220 20 60 2 b d f 5 10 6 19 P Figure 3: A graph i. Find the shortest path from u to v using Dijkstra's algorithm. ii. What is the shortest distance from u to v. (b) For this question, use the relation R = {(1,4), (2,3), (3,2), (4,2)} on {1,2,3,4} i. Explain why R is not symmetric ii. Use the Warshall-Floyd algorithm to find the transitive closure of R
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:3
1
с
3. Dijkstra and Transitive Closure
(a) For this question, use the diagram in Figure 3
น
2
a
4
5
9
220
20
60
2
b
d
f
5
10
6
19
P
Figure 3: A graph
i. Find the shortest path from u to v using Dijkstra's algorithm.
ii. What is the shortest distance from u to v.
(b) For this question, use the relation
R = {(1,4), (2,3), (3,2), (4,2)} on {1,2,3,4}
i. Explain why R is not symmetric
ii. Use the Warshall-Floyd algorithm to find the transitive closure of R
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