Show that the graph is not planar.
BuyFindlaunch
Mathematical Excursions (MindTap C...
4th Edition
Richard N. Aufmann + 3 others
Publisher: Cengage Learning
ISBN: 9781305965584
BuyFindlaunch
Mathematical Excursions (MindTap C...
4th Edition
Richard N. Aufmann + 3 others
Publisher: Cengage Learning
ISBN: 9781305965584
Solutions
Chapter 5.3, Problem 10ES
Textbook Problem
Show that the graph is not planar.
check_circle
Expert Solution
Want to see the full answer?
Check out a sample textbook solution.Chapter 5 Solutions
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...
Additional Math Textbook Solutions
Find more solutions based on key concepts
In Problems 27 – 30, solve for y in terms of x.
27.
Mathematical Applications for the Management, Life, and Social Sciences
Convert the expressions in Exercises 6584 to power form. x2y
Finite Mathematics
Areas of Simple Closed Curves In Exercises 81-86, use a computer algebra system and the result of Exercise 77 t...
Calculus: Early Transcendental Functions
Consider the function f(x)=tan1x. (a) Show that f(x) = 0 for x=1,12,13, (b) Show that f(x) = 1 for x=4,45,49, (...
Single Variable Calculus
Recent research suggests that the amount of lime that parents spend talking about numbers can have a big impact...
Essentials of Statistics for The Behavioral Sciences (MindTap Course List)
Farms The number of farms N (in thousands) in the United States from 2008 through 2013 can be modeled by N=0.20...
Calculus: An Applied Approach (MindTap Course List)
Find a b. 10. | a | = 80, | b | = 50, the angle between a and b is 3/4
Multivariable Calculus
Solve the differential equation or initial-value problem using the method of undetermined coefficients. yy=xex,...
Calculus (MindTap Course List)
Evaluate the integral. 28. x3+1x31dx
Calculus: Early Transcendentals
The n candidates for a job have been ranked 1, 2, 3,, n. Let X = the rank of a randomly selected candidate, so ...
Probability and Statistics for Engineering and the Sciences
Dependent or Inconsistent Linear Systems Determine whether the system of linear equations is inconsistent or de...
Precalculus: Mathematics for Calculus (Standalone Book)
For Problems 51-78, simplify each of the numerical expressions. Objective 3 48(1411)(106)
Intermediate Algebra
A set of scores has been organized into the following stem and leaf display. For this set of scores: a. How man...
Statistics for The Behavioral Sciences (MindTap Course List)
Rewrite each expression in Exercises 116 as a single rational expression, simplified as much as possible. 2x3x2...
Applied Calculus
Prove the statement using the , definition of a limit and illustrate with a diagram like Figure 9. FIGURE9 lim...
Single Variable Calculus: Early Transcendentals, Volume I
Critical Thinking You are interested in the weights of backpacks students carry to class and decide to conduct ...
Understanding Basic Statistics
In Exercises 516, evaluate the given quantity. log1,000
Finite Mathematics and Applied Calculus (MindTap Course List)
SOC/CJ A random sample of 113 felons convicted of nonviolent crimes in a state prison system completed a progra...
Essentials Of Statistics
Show that an equation of a line through the points (a, 0) and (0, b) with a 0 and b 0 can be written in the f...
Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach
Complete the ordered-pair solutions of the equation: 2x+3y=12 (3,),(0,),(3,)
Elementary Technical Mathematics
Les Roberts, a self-employed commercial artist, had total net earnings of $60,000 last year. What was the amoun...
Contemporary Mathematics for Business & Consumers
Draw each of the following angles in standard position and then name the reference angle. 253.8
Trigonometry (MindTap Course List)
Suppose f is a continuous function defined on a closed interval [a, b]. (a) What theorem guarantees the existen...
Single Variable Calculus: Early Transcendentals
In the figure, mEFG=68 and m3=33. Find m4.
Elementary Geometry For College Students, 7e
Prove that [ x ]={ a0+a1x+...+anxna0=2kfork }, the set of all polynomials in [ x ] with even constant term, is ...
Elements Of Modern Algebra
QUALITY CONTROL The probability that a DVD player produced by VCA Electronics is defective is estimated to be 0...
Finite Mathematics for the Managerial, Life, and Social Sciences
Forming Maclaurin Series Determine the first four terms of the Maclaurin series for sin2x (a) by using the defi...
Calculus: Early Transcendental Functions (MindTap Course List)
Is it possible to draw a triangle whose sides measure a. 7, 7, and 14? b. 6, 7, and 14? c. 6, 7, and 8?
Elementary Geometry for College Students
Solving a First-Order Linear Differential Equation In Exercises 53-58, find the general solution of the first-o...
Calculus of a Single Variable
Solve each of the following equations using the addition principle of equality. Check each answer. 40=E21
Mathematics For Machine Technology
True or False:
By the Integral Test, converges.
Study Guide for Stewart's Multivariable Calculus, 8th
Find the midpoint of the segment PQ. P(3,7);Q(3,1)
College Algebra (MindTap Course List)
Finding an Equation of a Tangent Line In Exercises 55-62, find an equation of the tangent line to the graph of ...
Calculus (MindTap Course List)
Evaluating a Triple Iterated Integral In Exercises 3-10, evaluate the triple iterated integral. 090y/30y29x2zdz...
Multivariable Calculus
A Phoenix Wealth Management/Harris Interactive survey of 1500 individuals with net worth of 1 million or more p...
Statistics for Business & Economics, Revised (MindTap Course List)
To evaluate the effectiveness of a new television commercial, a researcher measures attitudes toward the advert...
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
If a researcher selects a sample from each of the following populations, then which is likely to be a probabili...
Research Methods for the Behavioral Sciences (MindTap Course List)
In the article Reproductive Biology of the Aquatic Salamander Amphiuma tridactylum in Louisiana (Journal of Her...
Introduction To Statistics And Data Analysis
The accounting department analyzes the variance of the weekly unit costs reported by two production departments...
STATISTICS F/BUSINESS+ECONOMICS-TEXT
In Exercise 2334, do the following. a.Perform the given computation, working solely in the given base. b.Check ...
Mathematics: A Practical Odyssey
Find graphs that have the following adjacency matrices. [101012120] [020210001]
Discrete Mathematics With Applications
The Hawaii Visitors Bureau collects data on visitors to Hawaii. The following questions were among 16 asked in ...
Essentials Of Statistics For Business & Economics
ReminderRound all answers to two decimal places unless otherwise indicated. Grazing SheepThe amount C of food c...
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
In Problems 712 match each of the given differential equations with one or more of these solutions: (a) y = 0, ...
A First Course in Differential Equations with Modeling Applications (MindTap Course List)
For the following exercises, find a. the amplitude, b. the period, and c. the phase shift with direction for ea...
Calculus Volume 1
The distribution of incomes as of 2012 in the United States in $5000 increments is given in the following table...
Calculus Volume 2
Expanding a Bionomial In Exercises 81-84, use the Binomial Theorem to write the expansion of the expression. x+...
College Algebra
For the week ended January 15, 2009, the bullish sentiment of individual investors was 27.6% (AAII Journal, Feb...
Modern Business Statistics with Microsoft Office Excel (with XLSTAT Education Edition Printed Access Card) (MindTap Course List)
