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 28.7, Problem 28.7.2CP
Program Plan Intro
Depth-first search (DFS):
“Depth-first search” is an
- DFS of a graph will start at any vertex V, and then recursively visits remaining vertices, which is adjacent to that vertex V.
- DFS of a tree will visit the root first, and then recursively visits the subtrees of the root R.
- It searches “deeper” in the graph, because graph may contain cycles. Hence it is referred as “depth-first” search.
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Given the graph G=(V,E) as follows:
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Show DFS and BFS traversal of the graph, starting at node a
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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- Prove the following statement about graph theory: If a new edge (but no new vertex) is added to a tree, then the new graph will contain a circuit.arrow_forwardApply dfs technique on the below graph. Make a diagram of depth first tree. Please explanation with clear steps.arrow_forwardTraversing a graph using DFS or BFS traversal on the same staring vertex s, results in a spanning tree T distinguished by discovery edges. What is the main difference between the spanning tree generated by DFS compared to the BFS tree?arrow_forward
- Find the Minimum spanning tree of the below graph using Kruskals algorithm. You may refer to the class slides for algorithm. Clearly trace the working of the algorithm in your worksheet and upload the same as the solution.arrow_forwardQUESTION 4 For the given Graph, Perform BFS. Write the Queue Content and Visit Sequence. Start from vertex “a” and follow alphabetical order while visiting nodes. Perform DFS. Write the Discover Order and Finish Order. Start from vertex “a” and follow alphabetical order while visiting nodes.arrow_forwardWhen comparing a spanning tree to an MST, what should one look for specifically? Is there a similar comparison and analysis of Prim and Kruskal's algorithms?arrow_forward
- Show the DFS tree for the graph of Figure 11.26 starting at Vertex 1arrow_forwarda. Construct the labeled tree representing the algebraic expression(((x – 2) + 3) – (y + 2)) / ((2 – (3 + z)) * (w – 8)) b. Suppose that x = 4, y = 3, y = 2, and w = 6, evaluate the expression inPolish form notation.arrow_forward1. A binary tree is a connected graph, where there is a path between two of its vertices, and acyclic, that is, it does not allow cycles, connected, directed and that each node has no degree (or order) greater than 2.Based on this definition and what was presented in the lesson content, which tree corresponds to a binary tree with a depth of 05, being two levels with 03 nodes, and containing 05 leaves. Select the correct option (A) (B) (C) (D)arrow_forward
- Consider flight network having places of departure and destination. Flight network represent Page 4 of 4place name as a node and flight trajectories between palce names are the edges. ConsiderPakistan cities as a node and show the source and destination paths, show all the paths separatelywith their labels and include their code as well.Analyze this scenerio that tree or graph should implement here, justify and also implement thiswith appropiate data structure.Example:Network represents that there are three cities named Karachi, Islamabad and Lahore. Flightschedule from Karachi to Islamabad, Islamabad to Lahore and Lahore to Karchi. Places save asclass having departure time and day also.Note: You are not allowed to use any built-in Data Structure classes to implement abovescenarioarrow_forwardGiven 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_forwardWhat is the definition of a spanning tree and an MST? The algorithms of Prim and Kruskal are contrasted and studied algorithmically.arrow_forward
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