Introduction to Java Programming and Data Structures, Comprehensive Version (11th Edition)
11th Edition
ISBN: 9780134670942
Author: Y. Daniel Liang
Publisher: PEARSON
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Chapter 28.9, Problem 28.9.4CP
Program Plan Intro
Breadth first search (BFS):
Breadth first search is a traversing
- Both BFS traversal of a graph and a tree are same. Because in a tree, the root node is visited first and its children and then its grandchildren and so on.
- Similarly, in a graph, vertex will be visited first and then its adjacent vertices are visited.
- While traversing, if visited vertex is finding, then the algorithm skips that vertex and move on to the next.
Given graph:
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Question 3: Find the Minimum Spanning Tree for the given graph using Prim’s algorithm. Thestarting vertex is “A” and write all the steps.
Find a minimum spanning tree for the graph below using
Kruskal's algorithm. Clearly show the content of the vertexSets,
ww
edgeList, resultList as the algorithm evolves.
B
10
15
20
A
12
16
12
12
15
15
E
10
14
2. Consider the graph G2(V2, E2) below.
2a. Find the MST of this graph with Kruskal’s algorithm. Draw the MST, and show the table [edge] [w(u, v)] [mark].
2b. Find the MST of this graph with Prim’s algorithm starting at vertex 'a'. Draw the MST and list the vertices in order you added them to the MST.
2c. Would you get a different MST if you repeat 2b starting at vertex 'e'? Why or why not?
Chapter 28 Solutions
Introduction to Java Programming and Data Structures, Comprehensive Version (11th Edition)
Ch. 28.2 - What is the famous Seven Bridges of Knigsberg...Ch. 28.2 - Prob. 28.2.2CPCh. 28.2 - Prob. 28.2.3CPCh. 28.2 - Prob. 28.2.4CPCh. 28.3 - Prob. 28.3.1CPCh. 28.3 - Prob. 28.3.2CPCh. 28.4 - Prob. 28.4.1CPCh. 28.4 - Prob. 28.4.2CPCh. 28.4 - Show the output of the following code: public...Ch. 28.4 - Prob. 28.4.4CP
Ch. 28.5 - Prob. 28.5.2CPCh. 28.6 - Prob. 28.6.1CPCh. 28.6 - Prob. 28.6.2CPCh. 28.7 - Prob. 28.7.1CPCh. 28.7 - Prob. 28.7.2CPCh. 28.7 - Prob. 28.7.3CPCh. 28.7 - Prob. 28.7.4CPCh. 28.7 - Prob. 28.7.5CPCh. 28.8 - Prob. 28.8.1CPCh. 28.8 - When you click the mouse inside a circle, does the...Ch. 28.8 - Prob. 28.8.3CPCh. 28.9 - Prob. 28.9.1CPCh. 28.9 - Prob. 28.9.2CPCh. 28.9 - Prob. 28.9.3CPCh. 28.9 - Prob. 28.9.4CPCh. 28.10 - Prob. 28.10.1CPCh. 28.10 - Prob. 28.10.2CPCh. 28.10 - Prob. 28.10.3CPCh. 28.10 - If lines 26 and 27 are swapped in Listing 28.13,...Ch. 28 - Prob. 28.1PECh. 28 - (Create a file for a graph) Modify Listing 28.2,...Ch. 28 - Prob. 28.3PECh. 28 - Prob. 28.4PECh. 28 - (Detect cycles) Define a new class named...Ch. 28 - Prob. 28.7PECh. 28 - Prob. 28.8PECh. 28 - Prob. 28.9PECh. 28 - Prob. 28.10PECh. 28 - (Revise Listing 28.14, NineTail.java) The program...Ch. 28 - (Variation of the nine tails problem) In the nine...Ch. 28 - (4 4 16 tails problem) Listing 28.14,...Ch. 28 - (4 4 16 tails analysis) The nine tails problem in...Ch. 28 - (4 4 16 tails GUI) Rewrite Programming Exercise...Ch. 28 - Prob. 28.16PECh. 28 - Prob. 28.17PECh. 28 - Prob. 28.19PECh. 28 - (Display a graph) Write a program that reads a...Ch. 28 - Prob. 28.21PECh. 28 - Prob. 28.22PECh. 28 - (Connected rectangles) Listing 28.10,...Ch. 28 - Prob. 28.24PECh. 28 - (Implement remove(V v)) Modify Listing 28.4,...Ch. 28 - (Implement remove(int u, int v)) Modify Listing...
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