Concept explainers
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]...
Want to see the full answer?
Check out a sample textbook solutionChapter 28 Solutions
Instructor Solutions Manual For Introduction To Java Programming And Data Structures, Comprehensive Version, 11th Edition
- Undirected graph is given with the list of edges. Build an adjacency matrix. Print the number of ones in adjacency matrix. Graph can contain multiple edges and loops. Input First line contains number of vertices n. Each of the next line contains one edge. Read the edges till the end of file. Output Build an adjacency matrix. Print the number of ones in adjacency matrix. Sample input 3 1 2 23 22 32 Sample output 5arrow_forwardIf we need a lot of adding and removing edges to a graph, it is better to represent the graph as O Adjacency matrix O Adjacency listarrow_forwardWrite a Java program to find the Adjacency Matrix Representation using Directed Graph. а. Insert new nodes and directed edge between two nodes b. Display the representationarrow_forward
- Draw the graph represented by the following adjacency matrix on a piece of paper, take a photo of your work, and upload it here. Also, answer the following question about this graph: in what order do we visit the vertices if we run a BFS starting from vertex o? (vertices are labelled o to 3) 0011 1011 0101 1010arrow_forwardQuestion 5: Write a Java Program representing the below graph. The vertices should berepresented using array. Edges should be represented using three ways: 2D array, edge objectsand an adjacency matrix.arrow_forwardIn graph theory, graph coloring is a special case of graph labeling; it is an assignment of labels traditionally called "colors" to elements of a graph subject to certain constraints. In its simplest form, it is a way of coloring the vertices of a graph such that no two adjacent vertices share the same color; this is called a vertex coloring. The chromatic number of a graph is the least mumber of colors required to do a coloring of a graph. Example Here in this graph the chromatic number is 3 since we used 3 colors The degree of a vertex v in a graph (without loops) is the number of edges at v. If there are loops at v each loop contributes 2 to the valence of v. A graph is connected if for any pair of vertices u and v one can get from u to v by moving along the edges of the graph. Such routes that move along edges are known by different names: edge progressions, paths, simple paths, walks, trails, circuits, cycles, etc. a. Write down the degree of the 16 vertices in the graph below: 14…arrow_forward
- Check it for the following;i. Find its chromatic numberii. Find the degree of the graph and write it in degree sequenceiii. Label its edges and also write down its in vertex formarrow_forwardGraph Transversal Simulation: For this graph write down the order of vertices encountered in a breadth-first search starting from vertex A. Break ties by picking the vertices in alphabetical order (for example, A before Z)arrow_forwardconsider the following undirected graph.arrow_forward
- Database System ConceptsComputer ScienceISBN:9780078022159Author:Abraham Silberschatz Professor, Henry F. Korth, S. SudarshanPublisher:McGraw-Hill EducationStarting Out with Python (4th Edition)Computer ScienceISBN:9780134444321Author:Tony GaddisPublisher:PEARSONDigital Fundamentals (11th Edition)Computer ScienceISBN:9780132737968Author:Thomas L. FloydPublisher:PEARSON
- C How to Program (8th Edition)Computer ScienceISBN:9780133976892Author:Paul J. Deitel, Harvey DeitelPublisher:PEARSONDatabase Systems: Design, Implementation, & Manag...Computer ScienceISBN:9781337627900Author:Carlos Coronel, Steven MorrisPublisher:Cengage LearningProgrammable Logic ControllersComputer ScienceISBN:9780073373843Author:Frank D. PetruzellaPublisher:McGraw-Hill Education