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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Chapter 22.2, Problem 1E
Program Plan Intro
To gives the value of
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Students have asked these similar questions
For the following graph, list the vertices in the order they might be encountered in a breadth first search (BFS) starting at vertex A. No
need to use any spaces, e.g., ACFGHIDBE
In cases when there are multiple possibilities for the next vertex, choose them in alphabetical order (for reference: A, B, C, D, E, F, G, H, I)
A
B
E
H
The minimum vertex cover problem is stated as follows: Given an undirected graph
G = (V, E) with N vertices and M edges. Find a minimal size subset of vertices X
from V such that every edge (u, v) in E is incident on at least one vertex in X. In
other words you want to find a minimal subset of vertices that together touch all the
edges.
For example, the set of vertices X = {a,c} constitutes a minimum vertex cover for the
following graph:
a---b---c---g
d
e
Formulate the minimum vertex cover problem as a Genetic Algorithm or another
form of evolutionary optimization. You may use binary representation, OR any repre-
sentation that you think is more appropriate. you should specify:
• A fitness function. Give 3 examples of individuals and their fitness values if you
are solving the above example.
• A set of mutation and/or crossover and/or repair operators. Intelligent operators
that are suitable for this particular domain will earn more credit.
• A termination criterion for the…
3. From the graph above determine the vertex sequence of the shortest path connecting the following pairs of vertex and give each length:
a. V & W
b. U & Y
c. U & X
d. S & V
e. S & Z
4. For each pair of vertex in no. 3 give the vertex sequence of the longest path connecting them that repeat no edges. Is there a longest path connecting them?
Chapter 22 Solutions
Introduction to Algorithms
Ch. 22.1 - Prob. 1ECh. 22.1 - Prob. 2ECh. 22.1 - Prob. 3ECh. 22.1 - Prob. 4ECh. 22.1 - Prob. 5ECh. 22.1 - Prob. 6ECh. 22.1 - Prob. 7ECh. 22.1 - Prob. 8ECh. 22.2 - Prob. 1ECh. 22.2 - Prob. 2E
Ch. 22.2 - Prob. 3ECh. 22.2 - Prob. 4ECh. 22.2 - Prob. 5ECh. 22.2 - Prob. 6ECh. 22.2 - Prob. 7ECh. 22.2 - Prob. 8ECh. 22.2 - Prob. 9ECh. 22.3 - Prob. 1ECh. 22.3 - Prob. 2ECh. 22.3 - Prob. 3ECh. 22.3 - Prob. 4ECh. 22.3 - Prob. 5ECh. 22.3 - Prob. 6ECh. 22.3 - Prob. 7ECh. 22.3 - Prob. 8ECh. 22.3 - Prob. 9ECh. 22.3 - Prob. 10ECh. 22.3 - Prob. 11ECh. 22.3 - Prob. 12ECh. 22.3 - Prob. 13ECh. 22.4 - Prob. 1ECh. 22.4 - Prob. 2ECh. 22.4 - Prob. 3ECh. 22.4 - Prob. 4ECh. 22.4 - Prob. 5ECh. 22.5 - Prob. 1ECh. 22.5 - Prob. 2ECh. 22.5 - Prob. 3ECh. 22.5 - Prob. 4ECh. 22.5 - Prob. 5ECh. 22.5 - Prob. 6ECh. 22.5 - Prob. 7ECh. 22 - Prob. 1PCh. 22 - Prob. 2PCh. 22 - Prob. 3PCh. 22 - Prob. 4P
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