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 28.7.3CP
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Depth-first search (DFS):
“Depth-first search” is an
- DFS of a graph will start at any vertex V, then recursively visits remaining vertices, which is adjacent to that vertex V...
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Weighted Graph Applications Demonstration Java Data Structures.
Figure 29.23 illustrates a weighted graph with 6 vertices and 8 weighted edges.
Simply provide:
Minimal Spanning Tree as an illustration or a textual list of edges (in our standard vertex order).
Single-Source Shortest Path route from vertex 0 to the other 5 (described as one path/route for each).
draw the two solutions and attach the illustration or describe them in text (a list of edges for the one and the vertex to vertex path the other).
You can therefore attach proper content files with dot txt, png, jpg or jpeg extensions
Be sure the final trees or path lists are clearly visible in your solution. You don't need to show the solution development or progress, just the result.
Write down the long codeword for the spanning tree in K10 that corresponds to the short codeword CCDCEABA. (Here the vertex set of K10 is {A,B,C,D,E,F,G,H,I,J}).
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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- Draw a DFS tree from the following graph starting from vertex E. A D в Earrow_forward7. Start from vertex A, use Prim's algorithm to find a minimum spanning tree (MST) for the following weighted graph: F 3 6 E A 5 2 7 D B 2 3 C Show the weight of the MST, the sequences of the edges added to the MST during the construction and draw the MST.arrow_forwardKruskal's minimum spanning tree algorithm is executed on the following graph. Select all edges from edgeList that belong to the minimum spanning tree. edgeList result List AD BC BE CF EF DG EG EH GH D 7 9 G 1 B 5 3 A E H 4 2 6 8 Farrow_forward
- Write a program that creates the minimum spanning tree for the grapharrow_forwardDraw a tree with 14 vertices Draw a directed acyclic graph with 6 vertices and 14 edges Suppose that your computer only has enough memory to store 40000 entries. Which best graph data structure(s) – you can choose more than 1 -- should you use to store a simple undirected graph with 200 vertices, 19900 edges, and the existence of edge(u,v) is frequently asked? - Adjacency Matrix - Adjacency List - Edge Listarrow_forwardExplain how a directed graph's vertex u, which includes both incoming and outgoing edges in G, may end up in a depth-first tree that only contains u.arrow_forward
- A mathematician applies Prim’s Algorithm to find a minimum spanning tree for the weighted graph starting at vertex D. The order of the edges picked so far is AD, AB, BE, and EF. The next edge selected when applying Prim’s Algorithm should be BF FG CG CE What is the total weight of the tree that uses the edges DE, CE, CG, FG and BF? 93 92 91 90 The tree described in problem #8 is a spanning True Falsearrow_forwardHow many spanning trees does the following graph have?arrow_forwardConsider the following graph: Draw the DFS and BFS spanning trees for the above graph starting from vertex A.arrow_forward
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