BuyFind*arrow_forward*

4th Edition

Richard N. Aufmann + 3 others

Publisher: Cengage Learning

ISBN: 9781305965584

Chapter 5, Problem 34RE

Textbook Problem

1 views

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

To determine

Chromatic number of graph 34

**Given:**

**Calculation:**

The above graph contains the circuit such as A-B-F-A with three vertices and D-B-A-D with three vertices. Since there are circuits with odd number of vertices, hence the graph is not 2 − colourable...

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 Solve each equation in Exercises 107120 for x, rounding your answer to four significant digits where necessary....

Finite Mathematics

The expressions in Problems 5 and 6 are polynomials with the form, where n is a positive integer. Complete the ...

Mathematical Applications for the Management, Life, and Social Sciences

Critical Thinking Consider a data set of 15 distinct measurements with mean A and median B. (a) If the highest ...

Understanding Basic Statistics

A large operator of timeshare complexes requires anyone interested in making a purchase to first visit the site...

Probability and Statistics for Engineering and the Sciences

For Problems 55-64, answer the question with an algebraic expression. The length of a rectangle is y yards, and...

Intermediate Algebra

(a) If f(x) = 0.1ex + sin x, 4 x 4, use a graph of f to sketch a rough graph of the antiderivative F of f tha...

Single Variable Calculus: Early Transcendentals, Volume I

Use spherical coordinates. 28. Find the average distance from a point in a ball of radius a to its center.

Multivariable Calculus

Finding Derivatives In Exercises 2940, find the derivative of the function. f(x)=4x2

Calculus: An Applied Approach (MindTap Course List)

Find the appropriate measure of central tendency for each variable displayed in problem 2.5. Report each statis...

Essentials Of Statistics

Evaluate expressions in Exercises 3756, rounding your answer to four significant digits where necessary. 9+16

Finite Mathematics and Applied Calculus (MindTap Course List)

Test the series for convergence or divergence. 25. n=1n!en2

Calculus: Early Transcendentals

In Exercises 75-98, perform the indicated operations and/or simplify each expression. 90. (6 3x)2

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

Formula for Maximum and Minimum Values Find the maximum or minimum value of the function. 44. g(x) = 2x(x 4) +...

Precalculus: Mathematics for Calculus (Standalone Book)

Evaluate the limit, if it exists. 22. limu24u+13u2

Single Variable Calculus

Finding a Jacobian In Exercises 35-40, And the Jacobian (x,y,z)(u,vw) for the indicated change of variables. If...

Calculus: Early Transcendental Functions

The figure shows a circular arc of length .s and a chord of length d, both subtended by a central angle . Find ...

Calculus (MindTap Course List)

Describe the difference in appearance between a bar graph and a histogram and describe the circumstances in whi...

Statistics for The Behavioral Sciences (MindTap Course List)

Ford and Torok (2008) found that motivational signs were effective in increasing physical activity on a college...

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

Draw the graph of each equation and label each vertex: y=x2+3

Elementary Technical Mathematics

For the 30-60-90 triangle shown, suppose that XZ=a. Find: a YZ b XY

Elementary Geometry For College Students, 7e

Match each trigonometric function with its cofunction. a. sine i. cotangent b. secant ii. cosine c. tangent iii...

Trigonometry (MindTap Course List)

Calculate y'. 7. y=t41t4+1

Single Variable Calculus: Early Transcendentals

In Exercises, use mathematical induction to prove that the given statement is true for all positive integers.
...

Elements Of Modern Algebra

For the following statements, underline the key words and translate into expressions. 40 more than 34 of B

Contemporary Mathematics for Business & Consumers

AN INPUT-OUTPUT MODEL FOR A TWO-SECTOR ECONOMY Rework Exercise 8 if the consumer demand for the output of agric...

Finite Mathematics for the Managerial, Life, and Social Sciences

In Exercises 33 to 36, the methods to be used are SSS, SAS, ASA, and AAS. Given that RSTRVU, does it follow tha...

Elementary Geometry for College Students

Determining Convergence or Divergence In Exercises 11-18, determine the convergence or divergence of the sequen...

Calculus: Early Transcendental Functions (MindTap Course List)

Horizontal and Vertical Tangency In Exercises 49-52, find all points (if any) of horizontal and vertical tangen...

Calculus of a Single Variable

Finding Percentage, Percent, and Base in Practical Applications Solve the following problems. 9. A machine oper...

Mathematics For Machine Technology

Tien Ren Chiang wants to have an IRA that will be worth 250,000 when he retires at age of 65. a. How much must ...

Mathematics: A Practical Odyssey

Suppose that we have two events, A and B, with P(A) = .50, P(B) = .60, and P(A B) = .40. a. Find P(A B). b. F...

STATISTICS F/BUSINESS+ECONOMICS-TEXT

For each of the following scenarios, identify which research strategy is used: descriptive, correlational, expe...

Research Methods for the Behavioral Sciences (MindTap Course List)

Refer to the Hudson Marine data in exercise 53. a. Deseasonalize the data and use the deseasonalized time serie...

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

Acrylamide (a possible cancer-causing substance) forms in high-carbohydrate foods cooked at high temperatures a...

Introduction To Statistics And Data Analysis

Practice Simplify each rational expression. Assume that no denominators are 0. 7a2b21ab2

College Algebra (MindTap Course List)

If 13f(x)dx=10 and 13g(x)dx=6, then 13(2f(x)3g(x))dx= a) 2 b) 4 c) 18 d) 38

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

A normal vector to the plane 2x + 3y + 6z =–20 is:

Study Guide for Stewart's Multivariable Calculus, 8th

Find a Value Solve for a in the triple integral. a103ay2a4xy2dzdxdy=1415

Multivariable Calculus

Describe how replication protects against fraud being committed in research.

Research Methods for the Behavioral Sciences (MindTap Course List)

Finding an Equation of a Tangent Line In Exercises 71-78, (a) find an equation of the tangent line to the graph...

Calculus (MindTap Course List)

Write negations for each of the following statements. (Assume that all variables represent fixed quantities or ...

Discrete Mathematics With Applications

[T] A house purchased for $250,000 is expected to be worth twice its purchase price in 18 years. Find a linear ...

Calculus Volume 1

If A and B are nonsingular, show that (AB)–1 = B–1 A–1.

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

Reminder Round all answers to two decimal places unless otherwise indicated. Binary Stars Binary stars are pair...

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

Data were collected on the amount spent by 64 customers for lunch at a major Houston restaurant. These data are...

Essentials Of Statistics For Business & Economics

Finding Values of Constants Find values of a,b, and c (if possible) such that the system of linear equations ha...

College Algebra

In a regression analysis involving 30 observations, the following estimated regression equation was obtained.
...

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