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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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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- Find the shortest path in graph H from w to a using a tree diagram. The tree diagram below is missing some information. What is missing? What is the shortest path? 6 4 х10 z13 2 8 a14 a17 28 a12 a 5 4 z7 x10 a22 H a17, у10, у18, а11, (w, х, z, 0) - 12 a16, y9, y18, a11, (w, s, z, a) = 11 a17, y9, y18, a11, (w, s, z, a) = 11 b d. a17, y9, y18, a11, (W, y, a) = 14 3.arrow_forwardH 5 B 3 4 L (3) 1. Perform a preorder traversal of the tree diagrammed above. (3) 2. Perform an inorder traversal of the tree diagrammed above. a (3) 3. Perform a postorder traversal of the tree diagrammed above. (3) 4. Find a minimum spanning tree in the graph below. 3 4 6 e 4 3 2 1 3 À 5 b 5 6 A. 2 4 2 2 M с 3 3 4 4 E k 2 N d h Karrow_forwardGiven the graph G=(V,E) as follows: Construct a BFS tree starting at node a Construct a DFS tree starting at node aarrow_forward
- For the graph given below print the DFS and BFS traversal of the graph, and also show the Stack and Queue contents. You can consider s as a starting vertex. Once yarrow_forward4. Consider the graph G, shown below, which is simply a copy of K5. 02 V3 5 V1 24 V5 How many distinct spanning trees does G have? (Hint: Break up your search by the isomorphism type of the tree, as discovered on the previous page. So for example, start by counting the paths of length 5 in G. Then proceed to the next type of tree with 5 vertices. The total number of trees is 125, but please use this answer only to check that your solution is complete!)arrow_forwardCorrect answer will be appreciated.else downvoted.arrow_forward
- graph search: (randomized) Indicate the order in which nodes are visited in breadth-first and depth-first searches of undirected graphs. Graphs will be given in text format as an adjacency list, with nodes represented by letters. For example, a: b,c,d b: a,d C: a d: a,b e: f f: earrow_forward2. Consider the graph G shown below. G E (a). What is the BFS tree starting at node A? (b). What is the DFS tree starting at node A? D Barrow_forwardD G C E Show the sequences of nodes that result from a depth-first traversal of the graph starting at node C. A. Sequence is: C; G; B; A; D. B. Sequence is: C; D; F; G; A; E; B O C. Sequence is: C; D; F; A; E; G; B D. None of the abovearrow_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_forwardjava program bianary treearrow_forwardSolve the problem in the image below:arrow_forward
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