BuyFind*launch*

4th Edition

Richard N. Aufmann + 3 others

Publisher: Cengage Learning

ISBN: 9781305965584

Chapter 5.4, Problem 16ES

Textbook Problem

Determine (by trial and error) the chromatic number of the graph.

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 37-48, compute and simplify so that only positive exponents remain.
37.

Mathematical Applications for the Management, Life, and Social Sciences

Expand each expression in Exercises 122. (x+yxy)2

Finite Mathematics

Finding Complex Zeros Find all zeros of the polynomial. 52. P(x) = x3 x 6

Precalculus: Mathematics for Calculus (Standalone Book)

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)

Please provide the following information for Problems 11-22. part (a): (i) What is the level of significance? S...

Understanding Basic Statistics

Using the Ratio Test In Exercises 17-38, use the Ratio Test to determine the convergence or divergence of the s...

Calculus: Early Transcendental Functions

Use Eulers formula to prove the following formulas for cos x and sin x: cosx=eix+eix2sinx=eixeix2i

Single Variable Calculus: Early Transcendentals, Volume I

Solve the equations in Exercises 126. (x2+1)x+1(x+1)3=0

Applied Calculus

Use a graphing calculator or computer to reproduce the picture. 36.

Multivariable Calculus

Find the mean, median, and mode for the scores in the following frequency distribution table: X F 6 5 2 4 2 3 2...

Statistics for The Behavioral Sciences (MindTap Course List)

Test the series for convergence or divergence. n=1n4+1n3+n

Calculus (MindTap Course List)

For the following set of scores, find the value of each expression: a. X b. (X)2 c. X2 d. (X +3)

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

CJ The numbers of homicides in five U.S. states and five Canadian provinces for the years 1997 and 2012 are pre...

Essentials Of Statistics

Refer to Exercise 3. a. Calculate the covariance between X1 = the number of customers in the express checkout a...

Probability and Statistics for Engineering and the Sciences

Set up the triple integral of an arbitrary of an arbitrary continuous function f(x, y, z) in cylindrical or sph...

Calculus: Early Transcendentals

For Problems 55-64, answer the question with an algebraic expression. Yuriko can type w words in an hour. What ...

Intermediate Algebra

In Exercises 79-84,determine whether the statement is true or false for all real numbers a and b. 80. |b2| = b2

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

Let g(x) = sgn(sin x). (a) Find each of the following limits or explain why it does not exist. (i) limx0+g(x) (...

Single Variable Calculus

Findding a Distance and the Midpoint of a Line Segment In Exercises 3-12, (a) plot the points, (b) find the dis...

Calculus: An Applied Approach (MindTap Course List)

For Exercises 1214, use the data in Illustration 4. 6.0,3.1,0.6,1.8,2.1,1.5,4.1,3.7,3.3,3.5,2.5,5.2,2.5,1.1,3.2...

Elementary Technical Mathematics

Evaluate the indefinite integral. cotxcsc2xdx

Single Variable Calculus: Early Transcendentals

Write the formulas for the current ratio and inventory turnover. (15-7)

Contemporary Mathematics for Business & Consumers

Use your graphing calculator to determine if each to an identity by graphing the left expression and right expr...

Trigonometry (MindTap Course List)

Given: AD bisects BC ABBCDCBC Prove: AEDE

Elementary Geometry For College Students, 7e

Let be a subgroup of a group with . Prove that if and only if

Elements Of Modern Algebra

Use a graphing utility to solve the system of equation a by the Gauss-Jordan method, b using the rref operation...

Finite Mathematics for the Managerial, Life, and Social Sciences

Evaluating a Binomial Coefficient In Exercises 85-88, evaluate the binomial coefficient using the formula (kn )...

Calculus of a Single Variable

Successive steps on a ladder form isosceles trapezoids with the sides. AH = 2 ft and BI = 2.125 ft. a Find GN, ...

Elementary Geometry for College Students

Removable and Nonremovable Discontinuities In Exercises 41-60, find the x- values (if any) at which f is not co...

Calculus: Early Transcendental Functions (MindTap Course List)

Solve for the unknown value in each of the following proportions. Check each answer. Round the answers to 3 dec...

Mathematics For Machine Technology

A survey asked the following question: Do you favor or oppose providing tax-funded vouchers or tax deductions t...

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

Using Different MethodsIn Exercises 51 and 52, find w/r and w/t (a) by using appropriate Chain Rule and (b) by ...

Multivariable Calculus

Describe the three ways identified in the text to find or develop a new research idea from existing research re...

Research Methods for the Behavioral Sciences (MindTap Course List)

Identify and describe the steps in the research process.

Research Methods for the Behavioral Sciences (MindTap Course List)

Using for |x| < 1 and differentiation, find a power series for .

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

Students taking the Graduate Management Admissions Test (GMAT) were asked about their undergraduate major and i...

STATISTICS F/BUSINESS+ECONOMICS-TEXT

Using the Definition of Limit In Exercises 45-56, find the limit L. Then use the definition to prove that the...

Calculus (MindTap Course List)

The paper Stature and Status: Height, Ability, and Labor Market Outcomes (Journal of Political Economy [2008]: ...

Introduction To Statistics And Data Analysis

Find the position function for which (at t = 0) the initial position is i, the initial velocity is 2j, and the ...

Study Guide for Stewart's Multivariable Calculus, 8th

Practice Use factoring to solve each equation. x3+9x2+20x=0

College Algebra (MindTap Course List)

In Problems 31-34 proceed as in Example 6 to find a solution of the initial-value problem with the given piecew...

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

In Exercises 1-18, write the given number in expanded form, or explain why there is no such number. 86428

Mathematics: A Practical Odyssey

Use the axioms for probability and mathematical induction to prove that for each integer n2 , if A1,A2,A3,....A...

Discrete Mathematics With Applications

The pursuit of a higher education degree in business is now international. A survey shows that more and more As...

Essentials Of Statistics For Business & Economics

5. Suppose an experiment has five equally likely outcomes: E1, E2, E3, E4, E5. Assign probabilities to each out...

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

Weekly Cost: The weekly cost of running a small firm is a function of the number of employees. Every week there...

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