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 28.9.3CP
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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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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- Give an example of each of the following or explain why no such example exists.a) A graph that is not a tree in which every edge is a bridge.b) A tree of order 4 whose complement is not a tree.arrow_forwardDraw and list the edges of a minimum spanning tree for the following graph in theorder that they are added by Kruskal’s algorithms. Show the Set S and the set A in the order thatthe edges are added. Draw the final MST.arrow_forward(a) Write the adjacency matrix and adjacency list of this graph. (b) Apply DFS on the graph, starting at node a (and considering alphabetical order in the case of multiple contingencies). Show the order of insertion and removal from the stack, and the DFS tree (or forest).arrow_forward
- Given the graph below, run the Kruskal’s algorithm to find the minimum spanning tree. Show the algorithmic steps and label each edge by the order in which it was selected.arrow_forwardDraw the minimum spanning tree for the following graph. Use induction to prove your result is a minimum spanning tree.arrow_forwardIf a graph G has n vertices and n−1 edges, n≥3 , then it must be that Select one: a. G cannot contain a circuit containing all of the vertices in G . b. All of the other answers are correct. c. G is a tree d. G contains at least one vertex of degree one.arrow_forward
- Draw the Depth-First-Search tree of the graph below, starting from node A.Show your workings.arrow_forwarda)Starting at node a (and considering alphabetical order in the case of multiple contingencies), apply DFS on the graph. Show the order of insertion and removal from the stack, and the DFS tree (or forest). b)Give the topological order of the nodes using your answer in (a).arrow_forwardSuppose a graph G has n vertices and e edges. If e = n-1, then G is always a tree. True Falsearrow_forward
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