BuyFind*arrow_forward*

4th Edition

Richard N. Aufmann + 3 others

Publisher: Cengage Learning

ISBN: 9781305965584

Chapter 5.1, Problem 14ES

Textbook Problem

24 views

Label the vertices of the second graph so that it is equivalent to the first graph.

To determine

To determine and label the vertices of the second graph so that it is equivalent to the first graph.

**Given information:**

Given graphs are

â€ƒâ€ƒ

**Calculation:**

From the first graph,

A has a degree of 2.

B has a degree of 2.

C has a degree of 3.

D has a degree of 3.

E has a degree of 4.

In the second graph,

The extreme right point is the only vertex with degree 4.

Hence it is vertex E...

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 In Problems 7-34, perform the indicated operations and simplify.
30.

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

Refer to the graph of the function f in the following figure. a. Find the value of f(0). b. Find the value of x...

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

Describe how the goal of an experimental research study is different from the goal for nonexperimental or corre...

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

Finding the Domain and Range of a Function In Exercises 17-24, find the domain and range of the function. Use a...

Calculus: An Applied Approach (MindTap Course List)

Let I=04f(x)dx, where f is the function whose graph is shown. (a) Use the graph to find L2, R2, and M2. (b) Are...

Calculus: Early Transcendentals

Find an expression for the function whose graph is the given curve. 55.

Single Variable Calculus: Early Transcendentals, Volume I

For Problems 9-17 assume that the distribution of differences d is mound-shaped and symmetric. Please provide t...

Understanding Basic Statistics

Simplify the algebraic expressions in Problems 1-14 by com- bining similar terms. Objective 1 5a26a2

Intermediate Algebra

The Heaviside function H is defined by H(t)={0ift01ift0 It is used in the study of electric circuits to represe...

Single Variable Calculus

A curve, called a witch of Maria Agnesi, consists of all possible positions of the point P in the figure. Show ...

Multivariable Calculus

Let X1,..., Xn be a random sample from a gamma distribution with parameters and . a. Derive the equations whos...

Probability and Statistics for Engineering and the Sciences

Brunt, Rhee, and Zhong (2008) surveyed 557 undergraduate college students to examine their weight status, healt...

Statistics for The Behavioral Sciences (MindTap Course List)

a. The students at Littlewood Regional High School cut an average of 3.3 classes per month. A random sample of ...

Essentials Of Statistics

Finding an Equation of a Tangent Line In Exercises 67-74, (a) find in equation of the tangent line to the graph...

Calculus: Early Transcendental Functions

In Exercises 23 and 24, determine which of the given lines better fits the given points. (2,1),(1,1),(0,1),(1,2...

Finite Mathematics and Applied Calculus (MindTap Course List)

Evaluating Functions Evaluate the function at the indicated values. 26. g(t)=t+2t2; g(2), g(2), g(0), g(a), g(a...

Precalculus: Mathematics for Calculus (Standalone Book)

Make a rough sketch of a direction field for the autonomous differential equation y=f(y), where the graph of f ...

Calculus (MindTap Course List)

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

Applied Calculus

Solve each triangle using the labels as shown in Illustration 1 (round lengths of sides to three significant di...

Elementary Technical Mathematics

Solve the following word problems, rounding dollars to the nearest cent and percents to the nearest tenth of a ...

Contemporary Mathematics for Business & Consumers

Draw, in standard position, the angle whose measure is given. 18. 150

Single Variable Calculus: Early Transcendentals

Find a specific example of two nonzero elements a and b in a ring R such that equations ax=b and ya=b have solu...

Elements Of Modern Algebra

Solve each inequality. x2

Trigonometry (MindTap Course List)

Complete each statement: a If a quadrilateral has two pair of congruent adjacent sides, then the quadrilateral ...

Elementary Geometry For College Students, 7e

In Exercises 24-26, determine whether the statement is true or false. If it is true, explain why it is true. If...

Finite Mathematics for the Managerial, Life, and Social Sciences

In Exercises 1 to 6, use line segments of given length a, b and c to perform the constructions. Construct a lin...

Elementary Geometry for College Students

Proof In Exercises 99-101, prove the differentiation formula. ddx[sechx]=sechxtanhx

Calculus of a Single Variable

Using the Direct Comparison Test In Exercises 5-16, use the Direct Comparison Test to determine the convergence...

Calculus: Early Transcendental Functions (MindTap Course List)

Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places unless otherwi...

Mathematics For Machine Technology

The absolute maximum of f(x, y) = 12x âˆ’ 8y subject to x2 + 2y2 = 11 occurs at:
(3, âˆ’1)
(âˆ’3, 1)

Study Guide for Stewart's Multivariable Calculus, 8th

Verifying a Particular Solution In Exercises 1114, verify that the function is a particular solution of the dif...

Calculus (MindTap Course List)

Example 11.1 looked at a study comparing students who use Facebook and students who do not use Facebook (Facebo...

Introduction To Statistics And Data Analysis

Nearly 1.8 million bachelors degrees and over 750,000 masters degrees are awarded annually by U.S. postsecondar...

STATISTICS F/BUSINESS+ECONOMICS-TEXT

Finding a Limit In Exercises 65-70, find the limit (if it exists). limt2(3ti2t21j+1tk)

Multivariable Calculus

True or False: If y = f(x) is not differentiable at a point x = a, then y = f(x) is not continuous at x = a.

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

Explain the basic distinction between probability sampling methods and nonprobability sampling methods and reco...

Research Methods for the Behavioral Sciences (MindTap Course List)

The following stocks make up the Dow Jones Industrial Average (Barrons, July 30, 2012). 1. 1.3M 2. ATT 3. Alcoa...

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

Applications Converting temperatures Water freezes at 32 F, or 0 C. Water boils at 212 F, or 100 C. Find a form...

College Algebra (MindTap Course List)

Briefly explain how random assignment attempts to keep participant characteristics such as age or gender from b...

Research Methods for the Behavioral Sciences (MindTap Course List)

If n is an integer, use the substitution R(x) = (x)1/2 Z(x) to show that the general solution of the differenti...

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

In each of 4â€”20, either draw a graph with the given specifications or explain why no such graph exists. 18. Ful...

Discrete Mathematics With Applications

Use the diagrams in Figure 8.197 to prove the Pythagorean Theorem. HINT: Use the method of rearrangement and la...

Mathematics: A Practical Odyssey

Computer Maintenance. Following is a portion of the computer output for a regression analysis relating y = main...

Essentials Of Statistics For Business & Economics

Recognizing Polynomials In Exercise S-15 through S-18, you are asked to determine whether the given function is...

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

12. A survey question for a sample of 150 individuals yielded 75 Yes responses, 55 No responses, and 20 No Opin...

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