BuyFind*launch*

4th Edition

Richard N. Aufmann + 3 others

Publisher: Cengage Learning

ISBN: 9781305965584

Chapter 5.4, Problem 8ES

Textbook Problem

Map Coloring Represent the map by a graph and find a coloring of the graph that uses the smallest possible number of colors.

Provinces of South Africa

Mathematical Excursions (MindTap Course List)

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

In problems 23-58, perform the indicated operations and simplify.
49.

Mathematical Applications for the Management, Life, and Social Sciences

Criticai Thinking Consider a binomial distribution with 10 trials. Look at Table 2 of the Appendix showing bino...

Understanding Basic Statistics

Find the limit. limx3x29x2+2x3

Single Variable Calculus: Early Transcendentals, Volume I

Use the Table of Integrals on Reference Pages 610 to evaluate the integral. 17. y6+4y4y2dy

Calculus: Early Transcendentals

The helix r(t)=cos(t/2),sin(t/2),t intersects the sphere x2+y2+z2=2 in two points. Find the angle of intersecti...

Calculus (MindTap Course List)

Finding Partial Derivatives In Exercises 11-40, find both first partial derivatives. f(x,y)=4x3y2

Calculus: Early Transcendental Functions

For Problems 19-28, use the following set designations. N= x|x is a natural number Q= x|x is a rational number ...

Intermediate Algebra

Number Problem The sum of two numbers is twice their difference. The larger number is 6 more than twice the sma...

Precalculus: Mathematics for Calculus (Standalone Book)

Each of a sample of four home mortgages is classified as fixed rate (F) or variable rate (V). a. What are the 1...

Probability and Statistics for Engineering and the Sciences

Finding Derivatives In Exercises 2940, find the derivative of the function. y=x2+6x7

Calculus: An Applied Approach (MindTap Course List)

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)

(a) What is an even function? How can you tell if a function is even by looking at its graph? Give three exampl...

Single Variable Calculus

Solve the equations in Exercises 126. 4xx313x4x31x31=0

Applied Calculus

In Exercises 7-12, refer to the following figure. 10. Which point has a negative x-coordinate and a negative y-...

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

Find the t value that forms the boundary of the critical region in the right-hand tail for a one-tailed test wi...

Statistics for The Behavioral Sciences (MindTap Course List)

(a) Find a nonzero vector orthogonal to the plane through the points P, Q, and R. and (b) find the area of tria...

Multivariable Calculus

SOC The World Values Survey is administered periodically to random samples from societies around the globe. Lis...

Essentials Of Statistics

Expand each expression in Exercises 122. (2y+3)(y+5)

Finite Mathematics and Applied Calculus (MindTap Course List)

Change each binary number to hexadecimal form: 1111110000

Elementary Technical Mathematics

In Exercises 11 to 14, assume that X, Y, and Z are midpoints of the sides of RST. If the perimeter sum of the l...

Elementary Geometry For College Students, 7e

Shauna Marks invested $10,000 in the no-load SunLink D fund with an offer price of $12.25. How many shares did ...

Contemporary Mathematics for Business & Consumers

Write out the power set, (A), for each set A. a. A={ a } b. A={ 0,1 } c. A={ a,b,c } d. A={ 1,2,3,4 } e. A={ 1,...

Elements Of Modern Algebra

Describe how the graph of f varies as c varies. Graph several members of the family to illustrate the trends th...

Single Variable Calculus: Early Transcendentals

For Questions 1 through 4, fill in each blank with the appropriate word. On a calculator, the sin, cos, and tan...

Trigonometry (MindTap Course List)

In Exercises 9-16, compute the expression if possible, given that A=[131213402], B=[213211142] C=[312164213] 12...

Finite Mathematics for the Managerial, Life, and Social Sciences

Determine whether the points -6,5, 1,7, and 16,10 are collinear.

Elementary Geometry for College Students

Finding an Equation of a Tangent Line In Exercises 29-36, (a) find an equation of the tangent line to the graph...

Calculus of a Single Variable

Finding a Unit Vector In Exercises 35-38, And the unit vector in the direction of v and verify that it has leng...

Calculus: Early Transcendental Functions (MindTap Course List)

Given: Hole centrelines ABCD and EFGH . Determine the values of 1 through 22 for these given values of 23,24 , ...

Mathematics For Machine Technology

The negation of “if p then q” is _____

Discrete Mathematics With Applications

In Exercises 7-12, use the following information. The metric system is based on three different units: the gra...

Mathematics: A Practical Odyssey

Write an equation of each line. Write the answer in slope-intercept form. The line passes through (7,2) and is ...

College Algebra (MindTap Course List)

Reminder Round all answers to two decimal places unless otherwise indicated. A Casual WalkYou leave your home a...

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

The report Daily Cigarette Use: Indicators on Children and Youth (Child Trends Data Bank, chi ldtrends.org/wp-c...

Introduction To Statistics And Data Analysis

Golf Club Design. A major manufacturer of golf equipment is considering three designs for a new driver: Design ...

Essentials Of Statistics For Business & Economics

Proof Suppose that an and bn are series with positive terms. Prove that if limnanbn= and bn diverges, then ...

Calculus (MindTap Course List)

For two nonnegative numbers, twice the first plus the second is 12. What is the maximum product of two such num...

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

Describe the general purpose of an experimental research study, differentiate experiments from other types of r...

Research Methods for the Behavioral Sciences (MindTap Course List)

Finding a Tangent Plane In Exercises 33-36, find an equation of the tangent plane to the surface represented by...

Multivariable Calculus

Twenty-five samples of 100 items each were inspected when a process was considered to be operating satisfactori...

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

In addition to the key words, you should also be able to define each of the following terms: descriptive resear...

Research Methods for the Behavioral Sciences (MindTap Course List)

A parameterization of the curve at the right is:

Study Guide for Stewart's Multivariable Calculus, 8th

Consumer Reports provided overall customer satisfaction scores for ATT, Sprint, T-Mobile, and Verizon cell-phon...

STATISTICS F/BUSINESS+ECONOMICS-TEXT

[T] Compute the left and right Riemann sums L10 and R10, and their average L10+R102 for f(t)=t2 over [0, 1]. Gi...

Calculus Volume 2

In Problems 122 solve the given differential equation by separation of variables. dydx=sin5x

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

For the following exercises, consider the function. (Hint: This is the upper half of the circle of radius 1 pos...

Calculus Volume 1

A college finds that 10% of students have taken a distance learning class and that 40% of students are pan time...

Introductory Statistics

Stopping Distances of Automobiles. A research hypothesis is that the variance of stopping distances of automobi...

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