Graph Data Structure is made up of nodes and edges. (A Tree Data Structure is a special kind of a ph Data Structure). A Graph may be represented by an Adjacency Matrix or an Adjacency List. Through exercise, you should be able to have a better grasp the Adjacency Matrix concept. You are expected to 1 about the Adjacency Matrix concept as well as the Adjacency List concept. pose the vertices A, B, C, D, E, F, G and H of a Graph are mapped to row and column ces(0,1,2,3,4,5,6.and 7) of a matrix (i.e. 2-dimensional array) as shown in the following table. tex of Graph Index in the 2-D Array Adjacency Matrix Representation of Graph 2 3 4 pose furnther, that the following is an Adjacency Matrix representing the Graph. 4 5. 7 1 1 01 1 01 +n 67

Graph Data Structure is made up of nodes and edges. (A Tree Data Structure is a special kind of a ph Data Structure). A Graph may be represented by an Adjacency Matrix or an Adjacency List. Through exercise, you should be able to have a better grasp the Adjacency Matrix concept. You are expected to 1 about the Adjacency Matrix concept as well as the Adjacency List concept. pose the vertices A, B, C, D, E, F, G and H of a Graph are mapped to row and column ces(0,1,2,3,4,5,6.and 7) of a matrix (i.e. 2-dimensional array) as shown in the following table. tex of Graph Index in the 2-D Array Adjacency Matrix Representation of Graph 2 3 4 pose furnther, that the following is an Adjacency Matrix representing the Graph. 4 5. 7 1 1 01 1 01 +n 67

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Write a program (WAP) in c to create an undirected graph using adjacency matrix representation.Number of nodes and edges should be taken from the user. After creating the graph, performfollowing operations: (i) Search a node. Take the node number from the user. If the node is found then print its associatededges.(ii) Insert a node in the graph.(iii) Insert an edge in the graph. Take the node numbers from the user between which the edge is tobe inserted.(iv) Delete a node from the graph. Take the node number to be deleted from the user.(v) Apply DFS on the graph and print the graph traversal.(vi) Apply BFS on the graph and print the graph traversal.2. Solve the above problem using adjacency list representation.
Write a program (WAP) to create an undirected graph using adjacency matrix representation.Number of nodes and edges should be taken from the user. After creating the graph, performfollowing operations: (i) Search a node. Take the node number from the user. If the node is found then print its associatededges.(ii) Insert a node in the graph.(iii) Insert an edge in the graph. Take the node numbers from the user between which the edge is tobe inserted.(iv) Delete a node from the graph. Take the node number to be deleted from the user.(v) Apply DFS on the graph and print the graph traversal.(vi) Apply BFS on the graph and print the graph traversal.Solve the above problem using adjacency list representation.
Computer Science ASAP PLS In this assignment, you should input a single graph. Then run your DFS or BFS, MST, and Dijkstra's algorithm for the input graph. This input graph can be created by reading from a file or using keyboard to input.
Write a program (WAP) to create an undirected graph using adjacency matrix representation.Number of nodes and edges should be taken from the user. After creating the graph, performfollowing operations: (6 Marks)(i) Search a node. Take the node number from the user. If the node is found then print its associatededges.(ii) Insert a node in the graph.(iii) Insert an edge in the graph. Take the node numbers from the user between which the edge is tobe inserted.(iv) Delete a node from the graph. Take the node number to be deleted from the user.(v) Apply DFS on the graph and print the graph traversal.(vi) Apply BFS on the graph and print the graph traversal.
5. (This question goes slightly beyond what was covered in the lectures, but you can solve it by combining algorithms that we have described.) A directed graph is said to be strongly connected if every vertex is reachable from every other vertex; i.e., for every pair of vertices u, v, there is a directed path from u to v and a directed path from v to u. A strong component of a graph is then a maximal subgraph that is strongly connected. That is all vertices in a strong component can reach each other, and any other vertex in the directed graph either cannot reach the strong component or cannot be reached from the component. (Note that we are considering directed graphs, so for a pair of vertices u and v there could be a path from u to v, but no path path from v back to u; in that case, u and v are not in the same strong component, even though they are connected by a path in one direction.) Given a vertex v in a directed graph D, design an algorithm for com- puting the strong connected…
In 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…
Assignment on Graph A social graph contains all the friendship relations (edges) among a group of n people (vertices). The friendship relationship is symmetric. Two vertices with no edge between them are enemies. Design and implement a class called Graph for a social graph. It should have an adjacency matrix as a data member to represent the graph. The nodes in the graph are numbered from 0..n-1 graph[i][i] - is always true (1) graph[i][j] is true if i and j are friends and false (0) if they are enemies. • In the constructor, initialize all entries to false (0) and all graph[i][i] to true (1) Include the following member functions. o void makeFriends(int i,intj)- make i and j friends int countFriends(int i) - will return the number of friends of i, excluding itself int countEnemies(int i)- will return the number of enemies of i int countCommonFriends(int i,intj) - the number of common friends of i and j int countCommonEnemies(int i,intj) - the number of common enemies of i and j int…
In Computer Science a Graph is represented using an adjacency matrix. Ismatrix is a square matrix whose dimension is the total number of vertices.The following example shows the graphical representation of a graph with 5 vertices, its matrixof adjacency, degree of entry and exit of each vertex, that is, the total number ofarrows that enter or leave each vertex (verify in the image) and the loops of the graph, that issay the vertices that connect with themselvesTo program it, use Object Oriented Programming concepts (Classes, objects, attributes, methods), it can be in Java or in Python.-Declare a constant V with value 5-Declare a variable called Graph that is a VxV matrix of integers-Define a MENU procedure with the following textGRAPHS1. Create Graph2.Show Graph3. Adjacency between pairs4.Input degree5.Output degree6.Loops0.exit-Validate MENU so that it receives only valid options (from 0 to 6), otherwise send an error message and repeat the reading-Make the MENU call in the main…
1. Let Sn denote a directed graph with n vertices, numbered from 1 to n, in which there are edges from vertex 1 to all other vertices, and from all other vertices back to vertex 1, but no other edges. Write the Python adjacency list representation for S6.
5. A social graph is the representation, through a graph, of the virtual relationships that a user has within a social network. For example, in a social graph, vertices can represent users and edges can represent relationships between users. Under this concept, give a recursive definition of all users that are related to a user u in a social network.
Question-Path Search in A MazeA two dimensional array of red and green entries represents a maze. Green entries are passable and red entries are blocked (like a wall). Two special green entries en and ex denote the entrance and exit of the maze.(1) Abstract the problem as a graph;(2) Design an algorithm (pseudo code) to find a path from en to ex if it exists and then print out the path;(3) Analyze the complexity of the algorithm.
b) Above given is the design of US Airport(having Wings: A-C and Ams a-0) Your task is to create an adjacency matric for the graph of the airpot