1. Answer each of the following short questions: a) Given a directed Graph with a total of 8 vertices and 20 edges. Calculate the Graph density (alpha) and classify the graph as sparse/dense/complete graph. Give exact reasons. b) For the Graph given below, find the adjacency matrix. 2 N 3 16 LO 5 10 1 2 3

Q: Given the following adjacency matrix: A В D E G H 1 B 1 1 1 1 1 D 1 1 1 1 F 1 G 1 H. Create a graph…

A: Here have to determine Adjacency Graph.

Q: (a) Assume there is an adjacency matrix A of an undirected graph G. Further assume a 1 is indicated…

A: - We need to talk about matrix and adjacency list representation for the graph mentioned.

Q: A weighted graph is a graph in which each carries a value

A: The question is as follows- A weighted graph is a graph in which each_____carries a value. So let’s…

Q: Consider the following Digraph to answer the 1, 2 4 s W 3 1 S w 5 G 3 1. Find all possible paths…

A: We need to find all possible paths from the node s to T. Draw the adjacency matrix of the graph.

Q: QUESTION 1: Given the following adjacency matrix representation of a graph to answer the followed…

A: Given:

Q: 0 0 0 0 0 0 1 0 1 0 1 0, 1 1 11 Consider the directed graph (digraph) represented with this…

A:

Q: Draw the weighted graph represented by the following adjacency matrix.

A: SOLUTION -Create an empty graph data structure to represent the weighted graph.Iterate over each row…

Q: a. Given the above adjacency matrix: i. Draw the equivalent adjacency list. [2] ii. Draw the…

A: Adjacency Matrix: Adjacency Matrix is a 2D array of size V x V where V is the number of vertices in…

Q: 2. Consider the graph given by the following adjacency list: vertex adjacent vertex 2, 3, 4 2 3 1, 4…

A: Answer a) graph:

Q: Problem 3: Consider the following weighted graph: 5 1. Find the length of the shortest path between…

A: We need to find the shortest lenght path between a and z.We can apply the dijkstra's technique.

Q: 1. Consider the following directed graph. A C F J D G В E H I 1. What are the sources and sinks of…

A: According to the information given:- We have to follow the graph and find the source and sink , one…

Q: ii. 1 4. Represent the above undirected graph using i. adjacency matrix adjacency list 3 2 4 5

A: Solution: a> The nearness matrix, generally conjointly known as the affiliation matrix, of a…

Q: List all of the paths from 1 to 4 in the graph S with a length of 5. b) The adjacent matrix for the…

A: Dear Student, Here we have to get from 1 to 4 with a path length of 5 all the possible paths are…

Q: Given the weight matrix of a weighted undirected graph, one can easily construct the adjacency…

A: An adjacency matrix is for an undirected graph which is always symmetric. It is used to represent…

Q: Consider the graph in following. Suppose the nodes are stored in memory in a linear array DATA as…

A: Adjacency matrix A:

Q: a b e d

A: In this given question, we have to represent the given graph using linked list and also write its…

Q: 1. Given the following un-directed, weighted graph G= {V, E}, where V={ a, b, c, d, e, f), E is the…

A: The adjacenecy matrix representation for the above problem would be: a b c d e fa 0 2 0 0 5 0b 2 0 8…

Q: a d b a) Give the vertex set of the G. b) Give the set of edge of G. c) Find the degree of each of…

A: In this question we have been given with the graph and we have to answer for the graph theory…

Q: Represent the following graph using Linked List and write its Adjacency matrix. |

A: We are given a graph which is directed connected graph, and we are going to represent the graph…

Q: ive the adjacency matrix of the graph.

A: Solution - In the given question, we have to find the adjacency matrix for the given graph.

Q: 2. Find the adjacency matrix of the graph in the figure. V₁ V2 V3 V4 V6 V5

A: Answer: We have drawn the adjacency matrix between the vertices and also we have explain in the more…

Q: Consider the un-directed graph shown in the Fig. The values inside the node refer to the feature…

A: Python code: import numpy as npm =…

Q: c. Below an adjacency matrix representation of a directed graph where there are no weights assigned…

A: A directed graph is a graph where the relationship between two vertices is a one way relationship.

Q: Consider the following undirected weighted graph: 6 A. 24 B. 23 C. 15 D. 19 a b 2 f 7 4 10 d 7 (1)…

A: - We need to get the weight of MST using kruskals algorithm.

Q: B. Draw the adjacency matrix for this graph. В A D

A: The following is the adjacency matrix for above diagram:       A      B      C       D A    0      1…

Q: Q26. * The Adjacency Matrix of the following graph is a 2 1 3 4 O Symmetric O Asymmetric O Symmetric…

A: The given question are multiple choice based  selected question.

Q: (a) List/Describe all types of graphs that have a diameter equal to 1? (b) What is the diameter of…

A: Since , in a above graph the maximum distance between two vertices of a graph is '1' Hence, the…

Q: In graph theory how does the addition of edges impact the properties of an adjacency matrix?

A: Graph theory is a branch of discrete mathematics that explores the relationships between…

Q: 10. Let G be a connected graph with n vertices. What is the minimum number of edges of G? (Your…

A: In this question, we are asked the minimum number of edges for a connected graph. I have explained…

Q: 3.Draw a graph given the following adjacency matrix. Represent the drawn graph using Adjacency List…

A: Here, we are going to design the graph from given adjacency matrix and also we are going to design…

Q: How many entries would the adjacency matrix representation for the following graph contain? D B E A…

A: The adjacency matrix is a fundamental representation of a graph in graph theory. It is a square…

Q: B A E Write the Adjacency Matrix of the given graph. FL G H

A: The adjacency matrix is a basic depiction of the relationships between nodes in a graph in the…

Q: Question 5: Consider the following graph. Find the shortest path from 'a' to all other vertices…

A:

Q: Given a graph G, please do the following: a) Show the adjacency matrix for graph G. Show the…

A:

Q: b) Assume an undirected graph is represented using an adjacency matrix, write an O(n) algorithm to…

A: Below is the algorithm program and the undirected graph: - Algorithm: -…

Q: Using Floyd's algorithm, compute the distance matrix for the weight directed graph defined by the…

A:

Q: X me n

A: SOLUTION - As we know that A component graph is a graph that represents the connected components of…