Introduction to Algorithms
3rd Edition
ISBN: 9780262033848
Author: Thomas H. Cormen, Ronald L. Rivest, Charles E. Leiserson, Clifford Stein
Publisher: MIT Press
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Question
Chapter 31.5, Problem 2E
Program Plan Intro
To discover all integers
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02. Find a solution to the following recrce
egation
T(n)
3. Let A = {1, 2, 3} and B = {4,5}.
a) Find A x B
b) Find B x A
You have to run Prim's algorithm for the problem defined by adjacency matrix:
1
2
3
4
5
6
7
8
9
1
0
10
9
999
999
17
999
999 999
2
3
69
10
0
14
4
2
999
999 13 999
14
0
7
999
999
999 999 999
4
999
4
7
0
999
2
8 999 999
5
999
2
999
999
0
6
999
1
999
6
17
999
999
2
6
0
999
7
999
7
999 999
999
8
999
999
0 11
4
8
999 13
999
999
1
7
11
9
999 999
999 999 999 999
4
80
8
0
1. We started from the vertex vl, so initially we have Y = {v1}:
initial
1
2
3
4
5
6
7
8
9
nearest
1
1
1
1
1
1
1
1
1
distance
-1
10
9
999
999
17
999
999
999
Print out the values stored in the nearest and distance arrays after first iteration of Prim's algorithm. Specify
the value of vnear and the next vertex that has to be added to Y
Hint: use (copy) the table above to record your answer.
Chapter 31 Solutions
Introduction to Algorithms
Ch. 31.1 - Prob. 1ECh. 31.1 - Prob. 2ECh. 31.1 - Prob. 3ECh. 31.1 - Prob. 4ECh. 31.1 - Prob. 5ECh. 31.1 - Prob. 6ECh. 31.1 - Prob. 7ECh. 31.1 - Prob. 8ECh. 31.1 - Prob. 9ECh. 31.1 - Prob. 10E
Ch. 31.1 - Prob. 11ECh. 31.1 - Prob. 12ECh. 31.1 - Prob. 13ECh. 31.2 - Prob. 1ECh. 31.2 - Prob. 2ECh. 31.2 - Prob. 3ECh. 31.2 - Prob. 4ECh. 31.2 - Prob. 5ECh. 31.2 - Prob. 6ECh. 31.2 - Prob. 7ECh. 31.2 - Prob. 8ECh. 31.2 - Prob. 9ECh. 31.3 - Prob. 1ECh. 31.3 - Prob. 2ECh. 31.3 - Prob. 3ECh. 31.3 - Prob. 4ECh. 31.3 - Prob. 5ECh. 31.4 - Prob. 1ECh. 31.4 - Prob. 2ECh. 31.4 - Prob. 3ECh. 31.4 - Prob. 4ECh. 31.5 - Prob. 1ECh. 31.5 - Prob. 2ECh. 31.5 - Prob. 3ECh. 31.5 - Prob. 4ECh. 31.6 - Prob. 1ECh. 31.6 - Prob. 2ECh. 31.6 - Prob. 3ECh. 31.7 - Prob. 1ECh. 31.7 - Prob. 2ECh. 31.7 - Prob. 3ECh. 31.8 - Prob. 1ECh. 31.8 - Prob. 2ECh. 31.8 - Prob. 3ECh. 31.9 - Prob. 1ECh. 31.9 - Prob. 2ECh. 31.9 - Prob. 3ECh. 31.9 - Prob. 4ECh. 31 - Prob. 1PCh. 31 - Prob. 2PCh. 31 - Prob. 3PCh. 31 - Prob. 4P
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