Subject Discrete structure A) [5] Given the order and size of a graph Gie 10 and 14 respectively. The degrees of vertices in G are 2, 3and 4. The number of vertices of degree 2 are 4. How many vertices of G have degree 3 and how manyvertices have degree 4? Draw the graph.B) (7] Find all the spanning Trees in the following graph? Also mention those spanning trees which areisomorphic.A.C) [S] Determine whether G and H are isomorphic? Also find Euler circuit, Euler trail and Hamiltonian circuitin the graph H, if possible?区AGH

Answered: Image /qna-images/answer/74f0e520-1043-4b8c-9c2d-fea0bcb02ace.jpg

A) [5] Given the order and size of a graph Gie 10 and 14 respectively. The degrees of vertices in G are 2, 3 and 4. The number of vertices of degree 2 are 4. How many vertices of G have degree 3 and how many vertices have degree 4? Draw the graph.

A) [5] Given the order and size of a graph Gie 10 and 14 respectively. The degrees of vertices in G are 2, 3 and 4. The number of vertices of degree 2 are 4. How many vertices of G have degree 3 and how many vertices have degree 4? Draw the graph.

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: 1. Using script file in computer aided software, a) Sketch the graph of y = sin2x b) Sketch the…

A: It is defined as a set of labor-saving tools used in software development. They create a framework…

Q: 2) Represent the graph in Fig.1 as a) an adjacency matrix. b) an adjacency list. c) Draw the graph…

A: - We need to create the adjacency matrix, adjacency list and the graph for the problems given.

Q: PROBLEM 07-0164: Classify the following graphs according to the following criteria: a) directed or…

A: ANSWER:-

Q: 1. A group of 9 people consisting of 4 mothers and 5 children bought tickets for the cinema in the…

Q: Example 4.10 Real roots of a quadratic equation – A quadratic equation is given by ax? + bx + c = 0…

A: The Fortran 95 program will help to find the complex roots of the equation (quadratic equation).

Q: 2. B D A E F H a) Create Adjacency Matrix of the graph. b) Find the Strongly Connected Components.

A: Let us consider a graph in which there are N vertices numbered from 0 to N-1 and E number of…

Q: a) One of the root of the equation lies in the range (1.0, 2.0). Find this root in 100 iterations…

A: import numpy as np import matplotlib.pyplot as plt def func(x): return x**4 + 2*(x**3) -…

Q: Find and list the biconnected components of the graph in picture.

A: The bi-connected graph is a connected graph that is "non-separable." This means that even if one…

Q: There are 15 points in a plane, no three of which are in a straight line except 6 all of which are…

Q: Suppose you are driving a car at 80 miles per hour. Again decelerating at 16 feet per second…

A: Note:the solution to above question is mentioned below Hope it helps to with the solution

Q: d e b f 15

A: Answer to the above question is in step2.

Q: 5. a. State the conditions for an Euler Path and the conditions for an Euler Cycle b. Does the graph…

A: Euler path : it is a path, where every edge is visited exactly once Euler Cycle: it is an euler…

Q: Coding problems: HW5_2 A thin square metal plate has uniform temperature of E1 47, = E, + E2 + T2 +…

A: Here is the solution with an output:-

Q: From the given graph, find the following: a) The roots of f(x) b) Using MATLAB obtain the polynomial…

A: From the given graph of the function f(x) we can see that it has 4 roots i.e. f(x) = 0 for 4 points.…

Q: 3. Draw all subgraphs of this graph a

A: A Subgraph of a graph can be defined as a graph that includes the set of vertices from the given…

Q: a) For the following functions below state the relationship between the hyperbolic and its…

A: ANSWER: Hyperbolic Function: Any of a bunch of six functions comparable to the mathematical…

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: 5. (a) Using Kruskal's method, find a minimum spanning tree of graph A (b) Using Prim's method, find…

A: Given Undirected graph contains 8 nodes from 1 to 8 and weighted edges between those vertices. Both…

Q: Electrical Engineering (b) Consider the following un-directed graph shown as in Figure 2. 15

A: Solution:-

Q: Konigsberg Problem. 2. What is a graph coloring

A: what is Konigsberg Problem and how to solve it -> Königsberg bridge problem is a recreational…

Q: 11. Consider the following graph 3 Build the adjancecy matrix and find the minimum k such that there…

A: We are given a directed graph and we are asked the adjacency matrix for it. Also we have to find the…

Q: 2i Obtain equidistant points between =[-1,1] as x; = 1; i e {0,1,2, ..,n}. Plot Lagrange n…

A: import matplotlib.pyplot as pltimport numpy as npimport scipy.interpolate #runge's formuladef f(x):…

Q: List 5 types of graphs and for each type, describe for which types of problems the type of graph…

A: A Graph is an data structure comprising of vertices and edges. the hypothesis related with diagram…

Q: The graph shows the temperature T, in degrees Fahrenheit, of molten glass t seconds after it is…

A: ANSWER:A)The correct answer of the questions is Option("This is the natural of glass") EXPLANATION…

Q: c) Given that L, = {ab, bc, abc} and L2 {b, bb, b}, find: %3D %3D i) ii) L'L, iii) (L, U L) LIL2

A: i) L1L2 L1 = {ab, bc, abc} L2= {b, bb, b} The concatenation of languages L1 and L2, denoted L1.L2 or…

Q: Practice Problems (3) 1. Let x = [2 5 1 6]. a) Add 16 to each element. b) Add 3 to just the…

A: Note: Due to company policies I am compelled to solve only the first three sub parts of the…

Q: a C Find (i) the number of vertices. (ii) the number of edges. (iii) the degree of each vertex and…

A: Number of connecting edge from a vertex is known as degree of vertex.

Q: The graph shows the temperature T, in degrees Fahrenheit, of molten glass t seconds after it is…

A: ANSWER:A)The correct answer of the questions is Option("This is the natural of glass") EXPLANATION…

Q: 4.1.20 A constant-density fluid flows in the converging, two- dimensional channel shown in Fig.…

Q: 39. Find the complement of each of the following graphs. a. b. V1. VI VA V2 V4 V2 V3 V3

A: Complement Graph: A graph with a same set of vertices as the original graph but the edges are the…

Q: 26. Which of the following graphs is a Eulerian? A. the graph of the cube B. the complete bipartite…

A: The correct answer is: B. the complete bipartite graph K2,3

Q: A4. Consider the Graphs A and B, determine whether they are isomorphic or not. (5 marks) Give…

A: graphs are isomorphic if they have: Equal number of vertices. Equal number of edges. Same degree…

Q: A window is in the form of an equilateral triangle surmounted on a rectangle. The rectangle is of…

A: we need to find the dimensions of the window that will admit the most light when the entire window…

Q: Example 9.36. Design a Zeolite-Softener for an industrial concern, using the following data : (i)…

Q: The liquid-liquid extraction process carried out at the Electrochemical Materials Laboratory…

Q: question 5. Draw an Eulerian graph and a Hamiltonian graph, both of more than four vertices.

A: Given: Make an Eulerian and a Hamiltonian graph with more than four vertices each.

Q: GRAPH TERMINOLOGY 8.34. Consider the graph G in Fig. 8-58. Find: (a) degree of each vertex (and…

A: The degree of a vertex is defined as the number of edges that are connected via this vertex So,…

Q: 5.1.11.(一) Prove that each graph below is isomorphic to CDC3. 我

A: Isomorphic: To be isomorphic ,two graph must have equal number of vertices and edges . Below the…

Q: PROBLEM 4 Translate each of the following English statements into logical expressions. The domain of…

A: Given : In this question, we have given the English sentences. The task is to convert the English…

Q: (i) Represent this graph in the form of a graph matrix (ii) Represent this graph in the form of a…

A: Given data:-

Q: 6. In the conversion from Celsius to Fahrenheit, identify each of the following:

A: Reading the value in Java program by using the scanner class object and storing it in the variable…

Q: 1. Using script file in computer aided software, a) Sketch the graph of y = sin2x b) Sketch the…

A: a) clc clear all close all x=0:0.01:pi; y=sin(2*x); plot(x,y); xlabel('x'); ylabel('y');

Q: (a) Find the degree sequence of the graphs: K6,5, W, (b) Find All values of n such that the graphs:…

Q: Discrete math Draw 2 isomorphic graphs with graph order of degree 3 which has 8 vertices.

A: Isomorphic graph: An isomorphic graph is a graph that can be drawn in different forms . But, the…

Q: 3. Consider the following graph G. 2 3 Show that G is planar by drawing it in the plane without any…

Question

100%

Subject Discrete structure

A) [5] Given the order and size of a graph Gie 10 and 14 respectively. The degrees of vertices in G are 2, 3
and 4. The number of vertices of degree 2 are 4. How many vertices of G have degree 3 and how many
vertices have degree 4? Draw the graph.
B) (7] Find all the spanning Trees in the following graph? Also mention those spanning trees which are
isomorphic.
A.
C) [S] Determine whether G and H are isomorphic? Also find Euler circuit, Euler trail and Hamiltonian circuit
in the graph H, if possible?
区A
G
H

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

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 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

Please, I want a correct solution to all paragraphs. The solution must be in text format and not handwritten Course name: computer drawing Question 3: A graph G has order 24 and size 72. The degree of each vertex is 3, 6 or 9. There are 6 vertices of degree six. How many vertices of degree 3 and 9?
problem 22.4-3 on page 615 of the text – Also implement your algorithm in C++. You should have a graph class (graph.h and graph.cpp).
The following is a graph theory problem: Suppose we have a graph A = (X, Y) and a subgraph of A, which is expressed as B = (x, y). x is an element of X and y is an element of Y. A subgraph is plainly described as a graph obtained from A by removing vertices &/or edges. For every following statement determine whether it is true or false. Explain or provide counterexample. Be careful when answering the following questions to leave edges that have their endpoints in B. (i) If A is connected then B is connected (and vice versa: If B... then A) (ii) If A is simple graph then B is simple graph (and vice versa: If B... then A) (iii) If A contains a cycle then B contains a cycle (and vice versa: If B... then A) (iv) If A is a tree then B is a tree (and vice versa: If B... then A)
Graph Complement and Planarity,(a) Let G be a 4-regular plane graph with 10 faces. Determine how many vertices and edges G hasand give a plane drawing of such a graph. for this problem, you must writecomplete sentences, include all details, show all of your work, and clarify all of your reasoning.
Please solve the following Graph Theory question.
A) Develop the Adjacency Matrix. B)List the nodes of the graph in alphabetical order using method 1 of breadth-first traversal starting from vertex F. C)List the nodes of the graph in alphabetical order using method 1 of depth-firsttraversal starting from vertex F.
problem 22.4-3 on page 615 of the text – Also implement your algorithm. In each case you should have a graph class (graph.h and graph.cpp). You may use either graph implementation.
Problem 3: Find the points on a circle of its octants with the circle centered at(5,5)and has a radius of 8 units. (with the aid of the table shows the result) Problem 4: Translate the triangleABChas vertices[A(−8,6),B(−8,9),C(−4,6)]+9units in thex-direction and−4in they-direction. (with the aid of the graph, show the result) Problem 5: Determine the coordinate of the vertices of triangleABC[A(−8,7),B(−3,7),C(−4,3)]after a counterclockwise rotation of180∘around the origin. (with the aid of the graph, show the result)
4. Consider a simple undirected graph with 5 vertices, and let the degrees of these vertices be: 4, 3, 3, 2 and 2. Does such a graph exist? How many edges does such a graph have?
Planarity(b) Let G be a simple graph with exactly 11 vertices. Prove that G or its complement G must benon-planar. Hint: The maximum number of edges in a planar graph with n vertices is 3n − 6. for this problem, you must write complete sentences, including all details, showall of your work, and clarify all of your reasoning
PROBLEM 2. 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: 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.
5. Draw a Bipartite Graph with 10 vertices that has an Eulerian Path and a Hamiltonian Cycle. The degree of each vertex must be greater than 2. List the degrees of the vertices, draw the Hamiltonian Cycle on the graph and give the vertex list of the Eulerian Path.