BuyFind*arrow_forward*

4th Edition

Richard N. Aufmann + 3 others

Publisher: Cengage Learning

ISBN: 9781305965584

Chapter 5.1, Problem 8ES

Textbook Problem

1 views

Determine (a) the number of edges in the graph, (b) the number of vertices in the graph, (c) the number of vertices that are of odd degree, (d) whether the graph is connected, and (e) whether the graph is a complete graph.

To determine

**(a)**

To determine the number of edges in the graph.

**Given information:**

Given graph is

To determine

**(b)**

To determine the number of vertices in the graph.

To determine

**(c)**

To determine the number of vertices that are of odd degree.

To determine

**(d)**

To determine whether the graph is connected.

To determine

**(e)**

To determine whether the graph is a complete graph.

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 64. Poiseuille’s law
The expression for the speed of blood through an artery of radius r at a distance x from ...

Mathematical Applications for the Management, Life, and Social Sciences

Convert each expression in Exercises 25-50 into its technology formula equivalent as in the table in the text. ...

Finite Mathematics

Sketch the region in the plane consisting of points whose polar coordinates satisfy the given conditions. 9. r ...

Multivariable Calculus

Finding Functions for Certain Curves Find a function whose graph is the given curve. 76. The line segment joini...

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)

2734 Calculate the double integral. Rxsec2ydA,R={(x,y)|0x2,0y/4}

Calculus (MindTap Course List)

A plane flying with a constant speed of 300 km/h passes over a around radar station at an altitude of 1 km and ...

Single Variable Calculus: Early Transcendentals, Volume I

In a distribution of scores with a mean of 35 and a standard deviation of 4, which event is more likely: that a...

Essentials Of Statistics

Statistical Literacy When using the least-squares line for prediction, are results usually more reliable for ex...

Understanding Basic Statistics

Find a power series representation for the function and determine the interval of convergence. f(x)=x+ax2+a2,a0

Calculus: Early Transcendentals

Construct a frequency distribution table for the following set of scores. Include columns for proportion and pe...

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

A sample is selected from a population with a mean of =40 and a standard deviation of =8 . If the sample has n=...

Statistics for The Behavioral Sciences (MindTap Course List)

Suppose that f has domain A and g has domain B. (a) What is the domain of f + g? (b) What is the domain of fg? ...

Single Variable Calculus

Translating Points in the Plane In Exercises 35 and 36, use the translation and the graph to find the vertices ...

Calculus: An Applied Approach (MindTap Course List)

Production Costs Over at Duffin House, Marjory Duffin is trying to decide on the size of the print runs for the...

Applied Calculus

Submarine Porthole A square porthole on a vertical side of a submarine (submerged in seawater) has an area of 1...

Calculus: Early Transcendental Functions

In Exercises 4954, find an equation of the line that satisfies the given condition. 53. The line passing throug...

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

Use your calculator to check your answers for Problems 35-57. Evaluate the algebraic expressions in Problems 35...

Intermediate Algebra

Poly(3-hydroxybutyrate) (PHB), a semicrystalline polymer that is fully biodegradable and biocompatible, is obta...

Probability and Statistics for Engineering and the Sciences

Change 885 g to mg.

Elementary Technical Mathematics

Express the number as a ratio of integers. 51. 0.8=0.8888

Single Variable Calculus: Early Transcendentals

Round the following numbers to the indicated place.
23. 88.964 to tenths

Contemporary Mathematics for Business & Consumers

True or False
Label each of the following statements as either true or false.
1. Every ring is an abelian gro...

Elements Of Modern Algebra

To construct a regular dodecagon 12 sides, what measure would be necessary for each interior angle? Construct a...

Elementary Geometry For College Students, 7e

For each of the following problems, is a central angle in a circle of radius r. In each case, find the length ...

Trigonometry (MindTap Course List)

In Exercises 1-4, perform the operations if possible. [321][211021]

Finite Mathematics for the Managerial, Life, and Social Sciences

Polar-to-Rectangular Conversion In Exercises 5-14, the polar coordinates of a point are given. Plot the point a...

Calculus: Early Transcendental Functions (MindTap Course List)

Given that RSTVQ is a regular pentagon and PQR is equilateral in the figure shown, determine a the type of tri...

Elementary Geometry for College Students

Testing for Symmetry In Exercises 29-40, test for symmetry with respect to each axis and to the origin. y=| x3+...

Calculus of a Single Variable

Backlash is the amount that a tooth Space is greater than the engaging tooth on the pitch circles of two gears....

Mathematics For Machine Technology

The y-coordinate of the center of mass of a lamina D with density ρ(x, y) and mass m is:

Study Guide for Stewart's Multivariable Calculus, 8th

Changing the Order of Integration In Exercises 61-66, sketch the region of integration. Then evaluate the itera...

Calculus (MindTap Course List)

Self Check Solve: x+1<2x33x5.

College Algebra (MindTap Course List)

Students in California are required to pass an exit exam in order to graduate from high school. The pass rate f...

Introduction To Statistics And Data Analysis

Suppose (hat a complex therapy procedure contains one component that has absolutely no effect on behavior. Expl...

Research Methods for the Behavioral Sciences (MindTap Course List)

A process that is in control has a mean of = 12.5 and a standard deviation of = .8. a. Construct the x contro...

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

Eagle Outfitters is a chain of stores specializing in outdoor apparel and camping gear.They are considering a p...

STATISTICS F/BUSINESS+ECONOMICS-TEXT

Sketching a CurveShow that the vector-valued function r(t)=etcosti+etsintj+etk lies on the cone z2=x2+y2. Sketc...

Multivariable Calculus

0
2
−2
does not exist

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

Describe the similarities and differences between a research proposal and a research report.

Research Methods for the Behavioral Sciences (MindTap Course List)

According to the well-ordering principle for the integers. if a set S of integers contains at least ____ and if...

Discrete Mathematics With Applications

In Exercises 4-9, construct a Venn diagram to determine the validity of the given argument. 1. Some contractors...

Mathematics: A Practical Odyssey

In Problems 2334 proceed as in Example 4 and find the Laplace transform of f g using Theorem 7.4.2. Do not eva...

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

Americans Without Health Insurance. The National Center for Health Statistics, housed within the U.S. Centers f...

Essentials Of Statistics For Business & Economics

Airline Customer Satisfaction Survey. Many airlines use surveys to collect data on customer satisfaction relate...

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

Rework Example 12 when each kit contains 147 cubic inches of candle wax and you want the height of the pyramid-...

College Algebra

Special Rounding Instructions For this exercise set, round all regression parameters to three decimal places, b...

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