Answer 6 only 6. Draw the graph for the following adjacency matrix.A B C D E F| 1 11AB----------C11------D1------E--F17. Let G be an undirected graph whose vertices are the integers 1 through 8, and let theadjacent vertices of each vertex be given by the table below:Adjacent vertices(2, 3, 4)(1, 3, 4)(1, 2, 4)(1, 2, 3, 6)(6, 7, 8)(4, 5, 7)(5, 6, 8)(5, 7)Vertex123468Assume that, in a traversal of G, the adjacent vertices of a given vertex are returned in thesame order as they are listed in the table above.a. Draw G.b. Give the sequence of vertices of G visited using a DFS traversal starting at vertex1.c. Give the sequence of vertices visited using a BFS traversal starting at vertex 1.

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

Answered: Draw the graph for the following…

Engineering

Computer Science

Draw the graph for the following adjacency matrix. AB C D E F -- | --| 1| 1 -- A B -- 1- 11-- D 1 E F 1

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

See similar textbooks

Related questions

Q: 3-5 Evaluate the determinant for the following matrix: 1 O A. 8 О В.-2 O C.5 O D. -4

A: Here in this question we have given a matrix and we have asked to find the determinant of this…

Q: aven the folIlowing matrix: X= 16 3 2 13 5 4 8 7 Write the result of the following: 1- >> x(:,2) 2-…

A: Please note we can only answer 3 subparts per question. Please post the rest in a different…

Q: Find the determinant of the matrix |4 0 0 0 -7 3. 7 3 -6 5 0 o 0 5 2 -3 9 -1 A) 12 B) -12 C) -6 D) 6

A: INTRODUCTION: The determinant is a scalar variable in mathematics that is a function of the…

Q: Compute the inverse of the transport matrix of matrix A, where: 15 3 A= 4 8 2 9 3 1 find it handly,…

A: Answer: Hand Solution:

Q: Represent the given graph using an incidence matrix. b a e, d e1 e2 e3 e4 e5 e6 a b C

A: e1 e2 e3 e4 e5 e6 a b d - - - b a -…

Q: / implify using K- map for the Y(A,B,C,D)= E(6,14,4,12,9,11,1,3)

A: K-map is also called karnaugh-map and it is a process of solving the boolean expression in tabular…

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: (1) Consider the adjacency matrix A of a directed network of size N =4 given by 1 A = 1 0 0 1 0 we…

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

A: Adjacency matrix A:

Q: If a is any scalar then the value of the determinant of the matrix below is 12 2+a 3 3 3+a 4 = 7 7+a…

A: Introduction

Q: Given a 2-D square matrix: int mat[3][3] ={{1, 2, 3}, {4,5,6},{7,8,9}}. Write a function transpose…

A: The definition of transpose of matrix is that transpose[i][j] = matrix[j][i] for all i,j in range of…

Q: 1. Draw the graph corresponding to the following adjacency matrix. A D E F A B 2 3 2 D 2 6 8. B.

A: The solution to the given problem is below. ***Note: According to Bartleby policy we can solve…

Q: 1 1 1. A =-1 1 det A = 1 7 6 5 4 6 5 4 3 A = 5 4 2. det A = 3. 2 4 3 2 1 1 2 0 3. If is A=3 4 0…

A: Below i have calculated first 3 PART.

Q: 3 -5 Evaluate the determinant for the following matrix:

A: Determinant of Matrix: The determinant of a matrix is a number that is specially defined only for…

Q: Let A = {p, q, r, s} and the relation R on A is represented by the matrix (o 0 1 1) %3! 0 1 0 0 M =…

A: Lets see the solution.

Q: If A is a mxp matrix and B is a pxn matrix, the size of AxB is mxp pxp mxn pxn

A: If size of a matrix A is r1 x c1 and size of matrix B is r2 x c2 then multiplication of this two…

Q: 9)Given an M x N integer matrix. Find the element that is the maximum in its row and the minimum in…

A: The code is given below.

Q: 3 6. Evaluate the determinant for the following matrix: 1 O A. 8 ОВ. -2 O C. 5 O D. -4 LO

A: Here in this question we have given a matrix and we have asked to find the determinant of this…

Q: Find the determinant of the matrix 14 0 -7 3 -5 0 0 7 3 5 0 -6 -8 2 -3 0 0 9 -1 12 -12

A: Initially, this is our matrix, 40-73-50020073-64-85052-3009-12 For this, our sign conventions are…

Q: function C = condif (n,c) * c is a square convection-diffusion matrix of order n^2. The user must…

A: a) Please find attached code: function C = condif(n,c)% C is a square convection diffusion matrix%…

Q: a) Plot the following function on a Karnaugh map. (Do not expa minterm form before plotting.) b)…

Q: Let m > 4 be an integer and A be an m x (m– 1) matrix. If Rank(A) = 2, then the nullity of A is: %3D

A: Finding the nullity is easier than finding the null space. This is due to the fact that the…

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: Represent the following graph using Adjacency matrix and Adjacency list A E

A: Here, The directed graph is given.

Q: Construct an adjacency MATRIX for the graph given below. Fill your answers in the given order ( a11…

A: We are asked the adjacency matrix of given graph. Given graph is a undirected weighted graph.…

Q: 6. Evaluate the determinant for the following matrix: O A.8 OB.-2 C.5 D.-4 3 1 5

A: =((3*1)-(1*(-5))).....(cross way product) =(3+5) =8 Ans

Q: Draw the directed graph represented by the given adjacency matrix adj and the data matrix data

A: The data represents the labels of Graph The adjacency matrix represents the connected edges 1…

Q: Apply the DFA minimization algorithm to the DFA shown below. Show the minimized DFA, and construct a…

A: According to the information given:- We have to define the minimization of DFA by constructing…

Q: Find the determinant of the matrix, а b C 2d + a 2e+b 2f+c : h i where a d f= 7. i

A: According to property of determinant, If elements of a row (or a column) in a determinant can be…

Q: 3 6. Evaluate the determinant for the following matrix: 1 O A. 8 оВ. -2 O C.5 O D. -4

A: Determinant of a matrix: Let A is a matrix of a1a2b1b2, then determinant of A is, |A| = (a1×b2 -…

Q: If the transpose of a square matrix gives the same matrix is known as * .matrix

A: Given:

Q: Given this system state Allocation Mas Available ABCD ABCD ABCD P02 202 3212 1010 P11110 1320 P21…

A: Answer: Need= ABC DP0P1P2P31010021010000321 Safe sequence = P0,P1,P2,P3

Q: 6. Evaluate the determinant for the following matrix: 1 O A. 8 О В. -2 O C.5 O D. -4 3.

A: For a 2×2 matrix A, the determinant is defined by A = abcd = ad - bc

Q: Create an adjacency Matrix for the following directed graph. (20 pts.) В A F. D E G

A: Adjacency Matrix: A square matrix for representing the finite graph called the Adjacency Matrix. The…

Q: Apply Floyd's algorithm to the following graph. Write D6 matrix as your answer. 2 3 2 2 2

A: Floyd warshall algorithm is used to find the shortest path between all pairs of the vertices. Given…

Q: 3 6. Evaluate the determinant for the following matrix: 1 O A.B O B.-2 O C.5 O D.-4

A: The determinant of the given matrix is 8. Explanation is as follows.

Q: Find the adjoint matrix of A and then find the inverse 1 1 2 A = 0. 1 3 L-1 0 4]

A: The adjoint of a matrix A is the transpose of the co-factor matrix of A. It is denoted by adj A also…

Q: 4. The generator matrix for a (7,3) code is: 0 1 1 G=1 0 1 1 0 1 10 10 0 1 1 0 0 1 a. A vector c=…

A: As per our company guidelines we are supposed to answer ?️only first 3️⃣ sub-parts. Kindly repost…

Q: Represent the following graph using Adjacency matrix and Adjacency list A F.

A: Adjacency Matrix A B C D E F A 0 1 0 0 0 0 B 1 0 1 1 0 0 C 0 1 0 0 1 0 D 0 1 0 0 1 0…

Q: 3 6. Evaluate the determinant for the following matrix: 1 OA.8 OB.-2 OC.5 OD.-4 5 F

Q: Assume A is k x n-matrix and B is n x l-matrix and AB = 0. Prove that rank(A) + rank(B) < n.

A: According to the information given:- We have to prove that rank(A)+rank(B)<=n by assuming Ak x n…

Q: The correct graph that matches the following adjacency matrix is: 5 3 1 5 2 1 5. 5 3 3 888 2. 1. 8 8…

A: As it is a symmetry matrix it is Undirected graph. Let the nodes be A,B,C,D,E,F

Q: Q23. The following Adjacency Matrix represents 1 2 3 4 5 6 1030000 2000000 30 700 50 40 10000 5000…

A: The question has been solved in step2

Q: Draw the graph for the following adjacency matrix.

Q: Q3: 1- Give an example of symmetric matrix. 1 2 3 2- LET A =2 find AT and |A|. 1 3 1 2 13

Q: Find the determinant of the matrix -2 5 2 3 0 2 6 7 5 5 4 A) 3 (в) з D) 6

A: Ans : D -6 Here, I have prepared a handwritten solution for you. Please appreciate and Upvote, thank…

Q: What would be the number of zeros in the adjacency matrix of the graph belo 1 2 3 4

A: Lets see the solution.

Q: 43. For n > 2, the (i,j)-cofactor of an n x n matrix A equals (-1)i+j times the determinant of the…

A: Given: 43. Determine whether the statements are TRUE or FALSE. Write TRUE if the Statement is True…

Concept explainers

LUP Decomposition

LU decomposition stands for Lower-Upper decomposition. LU decomposition is the factorization of the lower triangular matrix and an upper triangular matrix. It is very useful in linear algebra and numerical analysis. A permutation matrix is usually included in the product. Gaussian elimination in a matrix form is known as LU decomposition, When inverting a matrix or evaluating its determinant, this is a crucial step. Tadeusz Banachiewicz, a Polish mathematician, first proposed the LU decomposition in 1938.

Question

Answer 6 only

6. Draw the graph for the following adjacency matrix.
A B C D E F
| 1 1
1
A
B
--
--
--
--
--
C11
--
--
--
D
1
--
--
--
E
--
F
1
7. Let G be an undirected graph whose vertices are the integers 1 through 8, and let the
adjacent vertices of each vertex be given by the table below:
Adjacent vertices
(2, 3, 4)
(1, 3, 4)
(1, 2, 4)
(1, 2, 3, 6)
(6, 7, 8)
(4, 5, 7)
(5, 6, 8)
(5, 7)
Vertex
1
2
3
4
6
8
Assume that, in a traversal of G, the adjacent vertices of a given vertex are returned in the
same order as they are listed in the table above.
a. Draw G.
b. Give the sequence of vertices of G visited using a DFS traversal starting at vertex
1.
c. Give the sequence of vertices visited using a BFS traversal starting at vertex 1.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Basic Information:

VIEW

Solution:

VIEW

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.

Similar questions

Create a weighted connected graph with the following characteristics: The assigned number of vertices are alphabetically labeled starting with A. Vertex Ais not adjacent to vertex G. At leasttwovertices have a degree greater than 2. Allweights are greater than 0. No weights are the same. Identify the degree of eachvertex in your graph. Explain whether the graph has an Euler path, using definitions, properties, or theorems. Describe a path from vertex Ato G. Find the total weight of the path from part F3. Show all work.
Please help me with problem R-14.16 Let G be a graph whose vertices are labeled by the integers 1 through 8, and let the adjacent vertices of each vertex be given by the table below: vertex adjacent vertices 1 (2,3,4) 2 (1,3,4) 3 (1,2,4) 4 (1,2,3,6) 5 (6,7,8) 6 (4,5,7) 7 (5,6,8) 8 (5,7) Assume that, in a traversal of G, the adjacent vertices of a given vertex are returned in the same order as they are listed in the table above. a. Draw G. b. Give the sequence of vertices of G visited using a DFS traversal starting at vertex 1. c. Give the sequence of vertices of G visited using a BFS traversal starting at vertex 1.
Create a weighted connected graph with the following characteristics: The assigned number of vertices are alphabetically labeled starting with A Vertex A is not adjacent to vertex G. At least two vertices have a degree greater than 2. All weights are greater than 0. No weights are the same. 1. Identify the degree of each vertex in your graph. 2. Explain whether the graph has an Euler path, using definitions, properties, or theorems. 3. Describe a path from vertex A to G. 4. Find the total weight of the path from part F3. Show all work. My number is 9.
Create a weighted connected graph with the following characteristics: • The assigned number of vertices are alphabetically labeled starting with A. • Vertex A is not adjacent to vertex G. • At least two vertices have a degree greater than 2. • All weights are greater than 0. • No weights are the same. 1. Identify the degree of each vertex in your graph. 2. Explain whether the graph has an Euler path, using definitions, properties, or theorems. 3. Describe a path from vertex A to G. 4. Find the total weight of the path from part F3. Show all work. MY NUmber is 10
2. Let G = (V, E) be a directed weighted graph with the vertices V = {A, B, C, D, E, F) and the edges E= {(A, B, 12), (A, D, 17), (B, C, 8), (B, D, 13), (B, E, 15), (B, F, 13), (C, E, 12), (C, F, 25)}, where the third components is the cost. (a) Write down the adjacency list representation the graph G = (V, E).
R-13.7 - Let G be a graph whose vertices are the integers 1 through 8, and let the adjacent vertices of each vertex be given by the table below: Vertex: 1 2 3 4 5 6 7 8 Adjacent Vertices: (2, 3, 4) (1, 3, 4) (1, 2, 4) (1, 2, 3, 6) (6, 7, 8) (4, 5, 7) (5, 6, 8) (5, 7) Assume that, in a traversal of G, the adjacent vertices of a given vertex are returned in the same order as they are listed in the table above. a. Draw G. b. Give the sequence of vertices of G visited using a DFS traversal starting at vertex 1. c. Give the sequence of vertices visited using a BFS traversal starting at vertex 1.
2. For each graph representation, select the appropriate worst-case complexity for checking if two distinct vertices are connected: a. Adjacency Matrix: ________ b. Edge List: ________ c. Adjacency List: _________ Choices: O(V+E), O(E^2), O(V^2), O(E) Explain why.
Question No 4. Consider the following graph Find all the simple paths from node A to node E Find indeg(D) and outdeg(D) Are there any sources or sinks Find the adjacency matrix for the graph
a) Illustrate the sequence of vertices of this graph visited using depth-first search traversal starting at vertex g. b) Illustrate adjacency list representation and adjacency matrix representation, respectively, for this graph. What are the advantages and disadvantages of those two representations? c) Describe an algorithm to find in the graph a path illustrated below that goes through every edge exactly once in each direction.
Question 9 Create a graph, if possible, with the following attributes, then find the index matrix of your graph. 6 vertices 5 edges One vertex with a degree of 3 All vertices are connected in some way, but it does not have to be a direct connection
Biconnected refers to any pair of vertices in a graph that are connected by two distinct pathways. A vertex that, if it and the edges around it were to be removed, would result in the graph being disconnected is known as an articulation point in a connected graph. show any graph without articulation points that it is biconnected. Take use of the fact that none of the vertices on the path are articulation points to construct two disjoint pathways linking s and t given a set of vertices s and t and a path connecting them.
Draw a directed acyclic graph with 6 vertices and 14 edges (IF EXIST), IF Doesn't Exist, Give Your Explanation.