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Chapter 28.3, Problem 28.3.2CP

Explanation of Solution

Edge array of given graph:

int[][] edges = {{0, 1}, {0, 2}, {0, 3}, {0, 4}, {0, 5},{1, 0}, {1, 2}, {1, 3}, {1, 4}, {2, 0}, {2, 1}, {2, 3}, {2, 4},{3, 0}, {3, 1}, {3, 2}, {3, 4}, {3, 5},{4, 0}, {4, 1}, {4, 2}, {4, 3},{5, 0}, {5, 3}}

Explanation:

Here, “int[][]” is the data type of two dimensional array with variable “edges”. The edges values are initialized into an array.

List of edge objects for given graph:

java.util.ArrayList<Edge> list = new java.util.ArrayList<Edge>();

list.add(new Edge(0, 1));

list.add(new Edge(0, 2));

list.add(new Edge(0, 3)); 

list.add(new Edge(0, 4)); 

list.add(new Edge(0, 5)); 

Explanation:

Here, the object “list” for class “ArrayList<>” is initialized with “edge” object. Then the edge values added into list.

Adjacency matrix for given graph:

int[][] adjacencyMatrix = {

  {0, 1, 1, 1, 1, 1}, // node 0

  {1, 0, 1, 1, 1, 0}, // node 1

  {1, 1, 0, 1, 1, 0}, // node 2

  {1, 1, 1, 0, 1, 1}, // node 3

  {1, 1, 1, 1, 0, 0}, // node 4

  {1, 0, 0, 1, 0, 0}  // node 5

};

Explanation:

Here, the variable “adjacencyMatrix” in declared in type of two dimensional integer “int[][]” and the adjacency values are initialized into it.

Adjacency vertex list:

LinkedList<Integer> list[] = new LinkedList<>();

list[0].add(1); list[0].add(2); list[0].add(3); list[0].add(4); list[0].add(5);

list[1].add(0); list[1].add(2); list[1].add(3); list[1].add(4);

list[2].add(0); list[2].add(1); list[2].add(3); list[2]...

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Please show starting time and finishing time for each vertex.  Thank you.
The Graph Data Structure is made up of nodes and edges. (A Tree Data Structure is a special kind of a Graph Data Structure). A Graph may be represented by an Adjacency Matrix or an Adjacency List. Through this exercise, you should be able to have a better grasp the Adjacency Matrix concept. You are expected to read about the Adjacency Matrix concept as well as the Adjacency List concept. Suppose the vertices A, B, C, D, E, F, G and H of a Graph are mapped to row and column indices(0,1,2,3,4,5,6,and 7) of a matrix (i.e. 2-dimensional array) as shown in the following table. Vertex of Graph Index in the 2-D Array Adjacency Matrix Representation of Graph A B 2 F 6. H 7 Suppose further, that the following is an Adjacency Matrix representing the Graph. 3 4 5. 6. 7 0. 1 1 1 1 01 1 01 1. 3 14 1 1 1 6. 1 Exercise: Show/Draw the Graph that is represented by the above Adjacency matrix. Upload the document that contains your result. (Filename: AdjacencyMatrixExercise.pdf) Notes: -The nodes of the…
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Chapter 28 Solutions

Instructor Solutions Manual For Introduction To Java Programming And Data Structures, Comprehensive Version, 11th Edition

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