BuyFind*launch*

4th Edition

Richard N. Aufmann + 3 others

Publisher: Cengage Learning

ISBN: 9781305965584

Chapter 5.4, Problem 3ES

Textbook Problem

Map Coloring A fictional map of the countries of a continent is given. Represent the map by a graph and find a coloring of the graph that uses the fewest possible number of colors. Then color the map according to the graph coloring you found.

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

Let a=log2,b=log3, and c=log7. In Exercises 2946, use the logarithm identities to express the given quantity in...

Finite Mathematics

Dow Jones Industrial Average The following table shows information about each year's Dow Jones Industrial avera...

Mathematical Applications for the Management, Life, and Social Sciences

EXPLORING CONCEPTS Comparing Dot Products Identify the dot products that are equal. Explain your reasoning. (As...

Calculus: Early Transcendental Functions

In Exercises 1-3, (a) plot the points, (b) find the distance between the points, and (c) find the midpoint of t...

Calculus: An Applied Approach (MindTap Course List)

18. According to a recent report, people .smile an average .of =62times per day. Assuming that the distribution...

Statistics for The Behavioral Sciences (MindTap Course List)

Find the functions (a) f g, (b) g f, (c) f f, and (d) g g and their domains. 33. f(x) = 3x + 5, g(x) = x2 +...

Single Variable Calculus

Find equations of (a) the tangent plane and (b) the normal line to the given surface at the specified point. 27...

Calculus: Early Transcendentals

For Problems 1-50, solve each equation. Objective 1 3(4n+2)+2(n6)=2(n+1)

Intermediate Algebra

What does it mean to say that we are going to use a sample to draw an inference about a population? Why is a ra...

Understanding Basic Statistics

Synthetic Division of Polynomials Find the quotient and remainder using synthetic division. 38. x416x+2

Precalculus: Mathematics for Calculus (Standalone Book)

In Exercises 25 and 26, find the line that best fits the given points, and compute the correlation coefficient....

Finite Mathematics and Applied Calculus (MindTap Course List)

The article Study on the Life Distribution of Microdrills (J. of Engr. Manufacture, 2002: 301-305) reported the...

Probability and Statistics for Engineering and the Sciences

Jason leaves Detroit at 2:00 PM and drives at a constant speed west along I-94. He passes Ann Arbor, 40 mi from...

Single Variable Calculus: Early Transcendentals, Volume I

When measuring height to the nearest half inch, what are the real limits for a score of 69.0 inches? a. 68 and ...

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

Prove Equation 5 using a the method of Example 3 and b Exercise 18 with x replaced by y. 1+tanhx1tanhx=e2x

Calculus (MindTap Course List)

In Exercises 75-98, perform the indicated operations and/or simplify each expression. 89. (x + 2y)2

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

SW A large counseling center needs to evaluate several experimental programs. Write a paragraph summarizing the...

Essentials Of Statistics

Show that | a b |2 = | a |2| b |2 (a b)2

Multivariable Calculus

Evaluate expressions in Exercises 3756, rounding your answer to four significant digits where necessary. 81164

Applied Calculus

Factor completely: 42x413x240

Elementary Technical Mathematics

For Exercises 39 to 40, use intuition to from a proportion based on the drawing shown. ABC has an inscribed rho...

Elementary Geometry For College Students, 7e

Divide the following fractions and reduce to lowest terms.
27.

Contemporary Mathematics for Business & Consumers

11. State the most general conditions on the subsets under which the given equality holds.
a. b.
c. ...

Elements Of Modern Algebra

Match the differential equations with the solution graphs labeled IIV. Give reasons for your choices. (a) y = 1...

Single Variable Calculus: Early Transcendentals

Solve each inequality. 9+16

Trigonometry (MindTap Course List)

In Exercises 1120, construct the dual problem associated with the primal problem. Solve the primal problem. Min...

Finite Mathematics for the Managerial, Life, and Social Sciences

A polyhedron not regular has 14 vertices and 21 edges. How many faces must it have ?

Elementary Geometry for College Students

Finding Slope and Concavity In Exercises 9-18, find dy/dx and d2y/dx2, and find the slope and concavity (if pos...

Calculus of a Single Variable

Comparing Functions In Exercises 89 and 90, (a) use a graphing utility to graph f and g in the same viewing win...

Calculus: Early Transcendental Functions (MindTap Course List)

Solve these exercises. Where necessary, round the answers to 2 decimal places unless otherwise specified. Find ...

Mathematics For Machine Technology

In Exercises 1134, translate the sentence into symbolic form. Be sure to define each letter you use. More than...

Mathematics: A Practical Odyssey

Define individual differences and explain how individual differences between groups and confounding from enviro...

Research Methods for the Behavioral Sciences (MindTap Course List)

The 2011 Cincinnati Flying Pig Half-Marathon (13.1 miles) had 10,897 finishers (Cincinnati Flying Pig Marathon ...

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

Mass In Exercises 23 and 24, find the total mass of a spring with density in the shape of the circular helix r...

Multivariable Calculus

True or False? In Exercises 91-96, determine whether the statement is true or false. If it is false, explain wh...

Calculus (MindTap Course List)

What degree Taylor polynomial about a = 1 is needed to approximate e1.05 accurate to within 0.0001?
n = 2
n = 3...

Study Guide for Stewart's Multivariable Calculus, 8th

Change each decimal into a common fraction. 0.17-

College Algebra (MindTap Course List)

At the beginning of this chapter, we described a study in which participants shouted either a swear word or a n...

Research Methods for the Behavioral Sciences (MindTap Course List)

The general solution to (for x, y > 0) is:
a) y = ln x + C
b)
c) y = ln(ln x + C)
d)

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

The paper referenced in Example 7.30 (Estimating Waste Transfer Station Delays Using GPS, Waste Management [200...

Introduction To Statistics And Data Analysis

A consulting firm submitted a bid for a large research project. The firms management initially felt they had a ...

STATISTICS F/BUSINESS+ECONOMICS-TEXT

In Problems 1926 solve the given differential equation. 19. (y2 + 1) dx = y sec2 x dy

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

Use a graphing calculator to graph the half-circle y=25( x4)2. Then, use the INTERCEPT feature to find value of...

Calculus Volume 1

If F is a function from a set X to a set Y, then F is not one-to-one if, and only if,_________

Discrete Mathematics With Applications

54. The time (in minutes) between telephone calls at an insurance claims office has the following exponential p...

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

Retail and Trade: Female Managers. The following data give the percentage of women working in five companies in...

Essentials Of Statistics For Business & Economics

Counting when Order Matters The factorial function occurs often in probability and statistics. For a non-negati...

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

In the following exercises, integrate using the indicated substitution. 360. xx100dx;u=x100

Calculus Volume 2