3. Find the shortest path from c to fusing the Dijkstra's algorithm in graph K3. Fill in the table below. Number 1 in the table is given as an example. 5 f Vertex C d 9 b e a f 6.0 g 2. 13. 18. 5 Status 21. D 2 K3 b 3 3 The shortest path from c to fis: 3 5 e Shortest distance from c 1. 0 3. 4. 9. 8. 15. 59 19. 7. 14. Previous Vertex 6. 12. 5. 11. 17. 20. 10. 16.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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3. Find the shortest path from c to f using the Dijkstra's algorithm in graph K3. Fill in the
table below. Number 1 in the table is given as an example.
C
+
Vertex
d
19
b
CH
f
12
5
13.
5
d
2
Status
a
b
K3
3
3
The shortest path from c to fis:
3
f
5
C
Shortest distance from c
1. 0
3.
4.
9.
8.
15.
19.
7.
14.
Previous Vertex
5.
16.
Transcribed Image Text:3. Find the shortest path from c to f using the Dijkstra's algorithm in graph K3. Fill in the table below. Number 1 in the table is given as an example. C + Vertex d 19 b CH f 12 5 13. 5 d 2 Status a b K3 3 3 The shortest path from c to fis: 3 f 5 C Shortest distance from c 1. 0 3. 4. 9. 8. 15. 19. 7. 14. Previous Vertex 5. 16.
Expert Solution
Step 1

As per the question you need to find out the shortest distance between node c to node f, therefore in the table you are required to fill 19 number that is the shortest distance from c with respect to the f.

Lets find out the number of distances with their cost between node c to node f and those are given below:-

  1. Path : c - g - a - f  , cost = 12 units (4+5+3)
  2. Path: c - d - e - f, cost = 10 units (2+3+5)
  3. Path: c - d - g - a - f , cost = 15 units (2+5+5+3)
  4. Path : c - d - b - a - f, cost =  9 units ( 2+2+2+3)
  5. Path: c - d - b - e - f, cost = 10 units (2+3+5)
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