BuyFind*launch*

4th Edition

Richard N. Aufmann + 3 others

Publisher: Cengage Learning

ISBN: 9781305965584

Chapter 5.4, Problem 4ES

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

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

Finite Mathematics

Campaign Management
A politician is trying to win election to the city council, and as his campaign manager, ...

Mathematical Applications for the Management, Life, and Social Sciences

64-66 Assume that all of the functions are twice differentiable and the second derivatives are never 0. a If f ...

Calculus (MindTap Course List)

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)

Simplify each expression in Exercises 1730, expressing your answer in positive exponent form. x2y2x1y

Applied Calculus

(a) Evaluate the function f(x) = x2 (2x/1000) for x = 1, 0.8, 0.6, 0.4, 0.2, 0.1, and 0.05, and guess the valu...

Single Variable Calculus

Find the numerical value of each expression. 1. (a) sinh 0 (b) cosh 0

Calculus: Early Transcendentals

For problems 15-26, simplify each numerical expression. Be sure to take advantage of the properties whenever th...

Intermediate Algebra

Bonfire Temperature In the vicinity of a bonfire the temperature T (in C) at a distance of x meters from the ce...

Precalculus: Mathematics for Calculus (Standalone Book)

The student health clinic reports that only 30%, of students got a flu shot this year. If a researcher surveys ...

Statistics for The Behavioral Sciences (MindTap Course List)

Finding the Slope of a Graph In Exercises 37-44, find the slope of the graph of the function at the given point...

Calculus: An Applied Approach (MindTap Course List)

SOC A researcher is studying changes in the student body at her university and has selected a random sample of ...

Essentials Of Statistics

Research has demonstrated strong gender differences in teenagers approaches to dealing with mental health issue...

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

A friend of mine is giving a dinner party. His current wine supply includes 8 bottles of zinfandel, 10 of merlo...

Probability and Statistics for Engineering and the Sciences

Volume Find the volume of the solid generated byrevolving the unbounded region lying between y=lnx and the y-ax...

Calculus: Early Transcendental Functions

Find the derivative of the function. y = esin 2x + sin(e2x)

Single Variable Calculus: Early Transcendentals, Volume I

A lamina occupies the part of the disk x2 + y2 a2 that lies in the first quadrant. (a) Find the centroid of th...

Multivariable Calculus

Hotel Occupancy Rate A forecast released by PricewaterhouseCoopers in June of 2004 predicted the occupancy rate...

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

Statistical Literacy What does it mean to say that the trials of an experimentare independent?

Understanding Basic Statistics

Find each product. 1.2m3n2(9.7m+6.5mn13n2))

Elementary Technical Mathematics

Convert the following fraction or mixed numbers to percents.
39.

Contemporary Mathematics for Business & Consumers

(a) Find the eccentricity, (b) identify the conic, (c) give an equation of the directrix, and (d) sketch the co...

Single Variable Calculus: Early Transcendentals

Label each of the following statements as either true or false.
10. Let A be in and B be in . If the jth colum...

Elements Of Modern Algebra

Problems 31 through 36 refer to right triangle ABC with C=90. If a=2 and c=10, find b.

Trigonometry (MindTap Course List)

In Exercises 9 to 28, use the drawings as needed to answer the following questions. Name three points that appe...

Elementary Geometry For College Students, 7e

In Exercises 2326, 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

Finding an Equation of a Plane In Exercises45-56, find an equation of the plane with the given characteristics....

Calculus: Early Transcendental Functions (MindTap Course List)

Evaluating a Limit In Exercises 43-62, (a) describe the type of indeterminate form (if any) that is obtained by...

Calculus of a Single Variable

In Exercises 31 to 34, apply a form of Theorem 3.5.10. Prove by the indirect method: The length of a diagonal o...

Elementary Geometry for College Students

The steel beam shown weighs 7800 kilograms/cubic meter. Determine the weight of the beam to the nearest kilogra...

Mathematics For Machine Technology

Under what circumstances is a stratified random sample preferred to a simple random sample?

Research Methods for the Behavioral Sciences (MindTap Course List)

A population has a mean of 200 and a standard deviation of 50. Suppose a sample of size 100 is selected and x i...

STATISTICS F/BUSINESS+ECONOMICS-TEXT

Finding a Total DifferentialIn Exercises 38, find the total differential. z=extany

Multivariable Calculus

0
1
âˆ’âˆž
does not exist

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

Rectangular-to-Spherical ConversionIn Exercises 3136, convert the point from rectangular coordinates to spheric...

Calculus (MindTap Course List)

Write a fourth degree polynomial function with real coefficients and the given zeros. i,2i

College Algebra (MindTap Course List)

Refer to the Simmons Stores example introduced in this section. The dependent variable is coded as y = 1 if the...

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

For

Study Guide for Stewart's Multivariable Calculus, 8th

Under what circumstances is a changing-criterion design an appropriate method for evaluating the effectiveness ...

Research Methods for the Behavioral Sciences (MindTap Course List)

The following partially completed ANOVA table approximately matches summary statistics given in the article Fro...

Introduction To Statistics And Data Analysis

Exercises 59-70 refer to Example 10. Fresh-brewed coffee has a hydrogen ion concentration of about 1.3105 moles...

Mathematics: A Practical Odyssey

In Problems 112 use the Laplace transform to solve the given initial-value problem. 11. y + 4y + 13y = (t ) + ...

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

If A is an event in a sample space S,P(A) can takes values between___and ____Moreover, P(S)= and P()=.

Discrete Mathematics With Applications

Round each percentage increase or decrease that you calculate to the nearest tenth of a percent. Percentage Gro...

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

Medical tests were conducted to learn about drug-resistant tuberculosis. Of 142 cases tested in New Jersey, 9 w...

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

Hypertension and Heart Disease. People often wait until middle age to worry about having a healthy heart. Howev...

Essentials Of Statistics For Business & Economics

In the following exercises, identify the mats 0f the integrand 10 remove absolute values, then evaluate using t...

Calculus Volume 2

[T] Use a calculator to evaluate sin(sin1(2))andtan(tan1(2)) . Explain the results of each.

Calculus Volume 1