BuyFind*arrow_forward*

4th Edition

Richard N. Aufmann + 3 others

Publisher: Cengage Learning

ISBN: 9781305965584

Chapter 5.1, Problem 13ES

Textbook Problem

8 views

Explain why the following two graphs cannot be equivalent.

To determine

**To explain:**

To explain the reason for the two graphs not being equivalent.

**Given information:**

Given graphs are

â€ƒâ€ƒ

**Calculation:**

Two graphs are said to be equivalent when they contain the same vertices and the same edges...

Mathematical Excursions (MindTap Course List)

Show all chapter solutions

Ch. 5.1 - A pen-tracing puzzle is given. See if you can find...Ch. 5.1 - A pen-tracing puzzle is given. See if you can find...Ch. 5.1 - A pen-tracing puzzle is given. See if you can find...Ch. 5.1 - A pen-tracing puzzle is given. See if you can find...Ch. 5.1 - Explain why the following pen-tracing puzzle is...Ch. 5.1 - Transportation An X in the table below indicates a...Ch. 5.1 - Transportation The table below shows the nonstop...Ch. 5.1 - Social Network A group of friends is represented...Ch. 5.1 - Baseball The local Little League baseball teams...Ch. 5.1 - Determine (a) the number of edges in the graph,...

Ch. 5.1 - Determine (a) the number of edges in the graph,...Ch. 5.1 - Determine (a) the number of edges in the graph,...Ch. 5.1 - Determine (a) the number of edges in the graph,...Ch. 5.1 - Determine whether the two graphs are equivalent.Ch. 5.1 - Determine whether the two graphs are equivalent.Ch. 5.1 - Determine whether the two graphs are equivalent.Ch. 5.1 - Determine whether the two graphs are equivalent.Ch. 5.1 - Explain why the following two graphs cannot be...Ch. 5.1 - Label the vertices of the second graph so that it...Ch. 5.1 - (a) determine whether the graph is Eulerian. If it...Ch. 5.1 - (a) determine whether the graph is Eulerian. If it...Ch. 5.1 - (a) determine whether the graph is Eulerian. If it...Ch. 5.1 - (a) determine whether the graph is Eulerian. If it...Ch. 5.1 - (a) determine whether the graph is Eulerian. If it...Ch. 5.1 - (a) determine whether the graph is Eulerian. If it...Ch. 5.1 - (a) determine whether the graph is Eulerian. If it...Ch. 5.1 - (a) determine whether the graph is Eulerian. If it...Ch. 5.1 - Parks in Exercises 23 and 24, a map of a park is...Ch. 5.1 - Parks in Exercises 23 and 24, a map of a park is...Ch. 5.1 - Transportation For the train routes given in...Ch. 5.1 - Transportation For the direct air flights given in...Ch. 5.1 - Pets The diagram below shows the arrangement of a...Ch. 5.1 - Transportation A subway map is shown below. Is it...Ch. 5.1 - Architecture, a floor plan of a museum is shown....Ch. 5.1 - Architecture, a floor plan of a museum is shown....Ch. 5.1 - Degrees of Separation In the graph below, an edge...Ch. 5.1 - Social Network In the graph below, an edge...Ch. 5.1 - Bridges of a Graph An edge of a connected graph is...Ch. 5.1 - Travel A map of South America is shown at the...Ch. 5.2 - Continue investigating Hamiltonian circuits in...Ch. 5.2 - Use the greedy algorithm and the weighted graph...Ch. 5.2 - Use the edge-picking algorithm to find a...Ch. 5.2 - Use Dirac's theorem to verify that the graph is...Ch. 5.2 - Use Dirac's theorem to verify that the graph is...Ch. 5.2 - Use Dirac's theorem to verify that the graph is...Ch. 5.2 - Use Dirac's theorem to verify that the graph is...Ch. 5.2 - Transportation For the train routes given in...Ch. 5.2 - Transportation For the direct air flights given in...Ch. 5.2 - Use trial and error to find two Hamiltonian...Ch. 5.2 - Use trial and error to find two Hamiltonian...Ch. 5.2 - Use trial and error to find two Hamiltonian...Ch. 5.2 - Use trial and error to find two Hamiltonian...Ch. 5.2 - Use the greedy algorithm to find a Hamiltonian...Ch. 5.2 - Use the greedy algorithm to find a Hamiltonian...Ch. 5.2 - Use the greedy algorithm to find a Hamiltonian...Ch. 5.2 - Use the greedy algorithm to find a Hamiltonian...Ch. 5.2 - Use the edge-picking algorithm to find a...Ch. 5.2 - Use the edge-picking algorithm to find a...Ch. 5.2 - Use the edge-picking algorithm to find a...Ch. 5.2 - Use the edge-picking algorithm to find a...Ch. 5.2 - Travel A company representative lives in...Ch. 5.2 - Travel A tourist is staying in Toronto, Canada,...Ch. 5.2 - Travel Use the edge-picking algorithm to design a...Ch. 5.2 - Travel Use the edge-picking algorithm to design a...Ch. 5.2 - Travel Nicole wants to tour Asia. She will start...Ch. 5.2 - Travel The prices for traveling between five...Ch. 5.2 - Travel Use the edge-picking algorithm to find a...Ch. 5.2 - Travel Use the edge-picking algorithm to find a...Ch. 5.2 - Route Planning Brian needs to visit the pet store,...Ch. 5.2 - Route Planning A bike messenger needs to deliver...Ch. 5.2 - Scheduling A research company has a large...Ch. 5.2 - Computer Networks A small office wishes to network...Ch. 5.2 - Route Planning A security officer patrolling a...Ch. 5.2 - Route Planning A city engineer needs to inspect...Ch. 5.2 - Draw a connected graph with six vertices that has...Ch. 5.2 - Assign weights to the edges of the following...Ch. 5.3 - The tetrahedron in figure 5.20 consists of four...Ch. 5.3 - The following graph is the projection of one ofthe...Ch. 5.3 - If we form a graph by a projection of the...Ch. 5.3 - Give a reason why the graph below Cannot be the...Ch. 5.3 - Show that the graph is planar by finding a planar...Ch. 5.3 - Show that the graph is planar by finding a planar...Ch. 5.3 - Show that the graph is planar by finding a planar...Ch. 5.3 - Show that the graph is planar by finding a planar...Ch. 5.3 - Show that the graph is planar by finding a planar...Ch. 5.3 - Show that the graph is planar by finding a planar...Ch. 5.3 - Show that the graph is planar by finding a planar...Ch. 5.3 - Show that the graph is planar by finding a planar...Ch. 5.3 - Show that the graph is not planar.Ch. 5.3 - Show that the graph is not planar.Ch. 5.3 - Show that the graph is not planar.Ch. 5.3 - Show that the graph is not planar.Ch. 5.3 - Show that the following graph contracts to K5.Ch. 5.3 - Show that the following graph contracts to the...Ch. 5.3 - Show that the graph is not planar by finding a...Ch. 5.3 - Show that the graph is not planar by finding a...Ch. 5.3 - Count the number of vertices, edges, and faces,...Ch. 5.3 - Count the number of vertices, edges, and faces,...Ch. 5.3 - Count the number of vertices, edges, and faces,...Ch. 5.3 - Count the number of vertices, edges, and faces,...Ch. 5.3 - Count the number of vertices, edges, and faces,...Ch. 5.3 - Count the number of vertices, edges, and faces,...Ch. 5.3 - If a planar drawing of a graph has 15 edges and 8...Ch. 5.3 - If a planar drawing of a graph has 100 vertices...Ch. 5.3 - Sketch a planar graph (without multiple edges or...Ch. 5.3 - Sketch a planar graph (without multiple edges or...Ch. 5.3 - Explain why it is not possible to draw a planar...Ch. 5.3 - If a planar drawing of a graph has twice as many...Ch. 5.3 - Show that the complete graph with five vertices,...Ch. 5.3 - Dual Graph Every planar graph has what is called a...Ch. 5.4 - A one-way road ends at a two-way street. The...Ch. 5.4 - A one-way road intersects a two-way road in a...Ch. 5.4 - A two-way road intersects another two-way road in...Ch. 5.4 - Map Coloring A fictional map of the countries of a...Ch. 5.4 - Map Coloring A fictional map of the countries of a...Ch. 5.4 - Map Coloring A fictional map of the countries of a...Ch. 5.4 - Map Coloring A fictional map of the countries of a...Ch. 5.4 - Map Coloring Represent the map by a graph and find...Ch. 5.4 - Map Coloring Represent the map by a graph and find...Ch. 5.4 - Map Coloring Represent the map by a graph and find...Ch. 5.4 - Map Coloring Represent the map by a graph and find...Ch. 5.4 - Show that the graph is 2-colorable by finding a...Ch. 5.4 - Show that the graph is 2-colorable by finding a...Ch. 5.4 - Show that the graph is 2-colorable by finding a...Ch. 5.4 - Show that the graph is 2-colorable by finding a...Ch. 5.4 - Show that the graph is 2-colorable by finding a...Ch. 5.4 - Show that the graph is 2-colorable by finding a...Ch. 5.4 - Determine (by trial and error) the chromatic...Ch. 5.4 - Determine (by trial and error) the chromatic...Ch. 5.4 - Determine (by trial and error) the chromatic...Ch. 5.4 - Determine (by trial and error) the chromatic...Ch. 5.4 - Determine (by trial and error) the chromatic...Ch. 5.4 - Determine (by trial and error) the chromatic...Ch. 5.4 - Scheduling Six student clubs need to hold meetings...Ch. 5.4 - Scheduling Eight political committees must meet on...Ch. 5.4 - Scheduling Six different groups of children would...Ch. 5.4 - Scheduling Five different charity organizations...Ch. 5.4 - Scheduling Students in a film class have...Ch. 5.4 - Animal Housing A researcher has discovered six new...Ch. 5.4 - Wi-Fi Stations An office building is installing...Ch. 5.4 - Map Coloring Draw a map of a fictional continent...Ch. 5.4 - If the chromatic number of a graph with five...Ch. 5.4 - Edge Coloring In this section, we colored vertices...Ch. 5.4 - Scheduling Edge colorings, as explained in...Ch. 5 - (a) determine the number of edges in the graph,...Ch. 5 - (a) determine the number of edges in the graph,...Ch. 5 - Soccer In the table below, an X indicates teams...Ch. 5 - Each vertex in the graph at the left represents a...Ch. 5 - Determine whether the two graphs are equivalent.Ch. 5 - Determine whether the two graphs are equivalent.Ch. 5 - Find an Euler path if possible, and (b) find an...Ch. 5 - Find an Euler path if possible, and (b) find an...Ch. 5 - Find an Euler path if possible, and (b) find an...Ch. 5 - Find an Euler path if possible, and (b) find an...Ch. 5 - Parks The figure shows an arrangement of bridges...Ch. 5 - Architecture The floor plan of a sculpture gallery...Ch. 5 - Use Dirac's theorem to verify that the graph is...Ch. 5 - Use Dirac's theorem to verify that the graph is...Ch. 5 - Travel The table below lists cities serviced by a...Ch. 5 - Travel For the direct flights given in Exercise...Ch. 5 - Use the greedy algorithm to find a Hamiltonian...Ch. 5 - Use the greedy algorithm to find a Hamiltonian...Ch. 5 - Use the edge-picking algorithm to find a...Ch. 5 - Use the edge-picking algorithm to find a...Ch. 5 - Efficient Route The distances, in miles, between...Ch. 5 - Computer Networking A small office needs to...Ch. 5 - Show that the graphs is planar by finding a planar...Ch. 5 - Show that the graphs is planar by finding a planar...Ch. 5 - Show that the graph is not planar.Ch. 5 - Show that the graph is not planar.Ch. 5 - Count the number of vertices, edges, and faces in...Ch. 5 - Count the number of vertices, edges, and faces in...Ch. 5 - Map Coloring, a fictional map is given showing the...Ch. 5 - Map Coloring, a fictional map is given showing the...Ch. 5 - Show that the graph is 2-colorable by finding a...Ch. 5 - Show that the graph is 2-colorable by finding a...Ch. 5 - Determine (by trial and error) the chromatic...Ch. 5 - Determine (by trial and error) the chromatic...Ch. 5 - Scheduling A company has scheduled a retreat at a...Ch. 5 - Social Network Each vertex in the graph at the...Ch. 5 - Determine whether the following two graphs are...Ch. 5 - Answer the following questions for the graph shown...Ch. 5 - Recreation The illustration below depicts bridges...Ch. 5 - a. What does Dirac's theorem state? Explain how it...Ch. 5 - Low-Cost Route The table below shows the cost of...Ch. 5 - Use the greedy algorithm to find a Hamiltonian...Ch. 5 - Sketch a planar drawing of the graph below. Show...Ch. 5 - Answer the following questions for the graph shown...Ch. 5 - Map Coloring A fictional map of the countries of a...Ch. 5 - For the graph shown below, find a 2-coloring of...Ch. 5 - A group of eight friends is planning a vacation in...

Find more solutions based on key concepts

Show solutions By any method, determine all possible real solutions of each equation in Exercises 1330. Check your answers by ...

Finite Mathematics

In calculus, it is frequently important to write an expression in the form, where is a constant and is a ration...

Mathematical Applications for the Management, Life, and Social Sciences

Convert each expression in Exercises 25-50 into its technology formula equivalent as in the table in the text. ...

Finite Mathematics and Applied Calculus (MindTap Course List)

In Exercises 75-98, perform the indicated operations and/or simplify each expression. 83. 83+82y+12x34y

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

Expand Your Knowledge: Logarithmic Transformations, Power Law Model Let x = boiler steam pressure in 100Lb/in.2...

Understanding Basic Statistics

A set of scores ranges from a high of X = 96 to a low of X = 27. If these scores are placed in a grouped freque...

Essentials of Statistics for The Behavioral Sciences (MindTap Course List)

Real Zeros of a Polynomial Find all the real zeros of the polynomial. Use the Quadratic Formula if necessary, a...

Precalculus: Mathematics for Calculus (Standalone Book)

Find the derivative of the function. f(t)=tt2+4

Calculus (MindTap Course List)

Find the points on the hyperboloid x2 + 4y2 z2 = 4 where the tangent plane is parallel to the plane 2x + 2y + ...

Calculus: Early Transcendentals

Sketching a Graph by Point Plotting In Exercises 7-16, sketch the graph of the equation by point plotting. y=4x...

Calculus: Early Transcendental Functions

For Problems 1-50, solve each equation. Objective 1 4(2a+3)3(4a2)=5(4a7)

Intermediate Algebra

Finding an Equation of a Tangent Line In Exercises 41-48, find an equation of the tangent line to the graph of ...

Calculus: An Applied Approach (MindTap Course List)

Trees grow faster and form wider rings in warm years and grow more slowly and form narrower rings in cooler yea...

Single Variable Calculus

A trial has just resulted in a hung jury because eight members of the jury were in favor of a guilty verdict an...

Probability and Statistics for Engineering and the Sciences

(a) Write |x|=x2 and use the Chain Rule to show that ddx|x|=x|x| (b) If f(x) = | sin x |. find f(x) and sketch ...

Single Variable Calculus: Early Transcendentals, Volume I

Find parametric equations for the surface obtained by rotating the curve y = 1/(1 + x2), 2 x 2, aboutthe x-ax...

Multivariable Calculus

The researchers cited in the previous problem (Liguori and Robinson. 2001) also examined the effect of caffeine...

Statistics for The Behavioral Sciences (MindTap Course List)

In Exercises 3148, (a) factor the given expression, and (b) set the expression equal to zero and solve for the ...

Applied Calculus

For a normal distribution where the mean is 50 and the standard deviation is 10, what percentage of the area is...

Essentials Of Statistics

Find the area and perimeter of each triangle:

Elementary Technical Mathematics

In Exercises 32 to 37, write a paragraph proof. A radius perpendicular to a chord bisects the arc of that chord...

Elementary Geometry For College Students, 7e

2. When the buyer for Superior Electronics (Exercise 1) took physical inventory of the Blu-ray players on July ...

Contemporary Mathematics for Business & Consumers

23. Let be a torsion group, as defined in Exercise 41 of Section 3.4, and a normal subgroup of . Prove that th...

Elements Of Modern Algebra

Use your graphing calculator to graph each of the following between x=0 and x=4. In each case, show the graph o...

Trigonometry (MindTap Course List)

Find y by implicit differentiation. 37. sin y + cos x =1

Single Variable Calculus: Early Transcendentals

In Exercises 114, given that the augmented matrix in row-reduced form is equivalent to the augmented matrix of ...

Finite Mathematics for the Managerial, Life, and Social Sciences

Analyzing the Graph of a Function In Exercises 9-36, analyze and sketch a graph of the function. Label any inte...

Calculus of a Single Variable

Working Backwards In Exercises 55-58, the limit represents f'(c) for a function f and a number c Find f and c l...

Calculus: Early Transcendental Functions (MindTap Course List)

In Exercises 45 to 47, write a formal proof for each corollary. The measure of an exterior angle of a triangle ...

Elementary Geometry for College Students

Find the unknown area, length, or width for each of the rectangles 31 through 42. Where necessary, round the an...

Mathematics For Machine Technology

Using a HyperboloidFind a point on the hyperboloid x2+4y2z2=1 where the tangent line is parallel to the plane x...

Multivariable Calculus

Finding a Sum In Exercises 5-10, find the sum by adding each term together. Use the summation capabilities of a...

Calculus (MindTap Course List)

Course evaluation ratings for four college instructors are shown in the following table. Use = .05 and test fo...

Statistics for Business & Economics, Revised (MindTap Course List)

Find each value without using a calculator. log1100,000

College Algebra (MindTap Course List)

One of the questions in the Pew Internet American Life Project asked adults if they used the Internet at least...

STATISTICS F/BUSINESS+ECONOMICS-TEXT

True or False: The function y = f(x) graphed at the right could be a solution to y = x + y.

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

Define a factorial research design, including the terms factor and level, and identity and describe factorial d...

Research Methods for the Behavioral Sciences (MindTap Course List)

Describe the purpose of a dismantling design.

Research Methods for the Behavioral Sciences (MindTap Course List)

True or False:
If y1 and y2 are linearly independent solutions to P(x)yâ€³ + Q(x)yâ€² + R(x)y = 0, then all solutio...

Study Guide for Stewart's Multivariable Calculus, 8th

Data from a survey of a representative sample was used to estimate that 32% of computer users in 2011 had tried...

Introduction To Statistics And Data Analysis

In 19-31, (1) prove that the relation is an equivalence relation, and (2) describe the distinct equivalence das...

Discrete Mathematics With Applications

In Exercise 55-60, use Figure 3.11. Of all of the specific forms of non-transportation accidents, which has the...

Mathematics: A Practical Odyssey

In Problems 47â€“54 find the eigenvalues and eigenvectors of the given matrix.
50.

A First Course in Differential Equations with Modeling Applications (MindTap Course List)

Matching In Exercises 29-36, match the rational function with its graph. [The graphs are labeled (a)-(h).] fx=3...

College Algebra

8. A Pew Research Center survey asked adults if their ideal place to live would have a faster pace of life or a...

Modern Business Statistics with Microsoft Office Excel (with XLSTAT Education Edition Printed Access Card) (MindTap Course List)

Time to Complete Final Exam. The time needed to complete a final examination in a particular college course is ...

Essentials Of Statistics For Business & Economics

Finding Limiting Values In Exercises S-11 through S-24, use a table of values to estimate the limiting value. I...

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)