Discrete Mathematics with Graph Theory (Classic Version) (3rd Edition) (Pearson Modern Classics for Advanced Mathematics Series)
3rd Edition
ISBN: 9780134689555
Author: Edgar Goodaire, Michael Parmenter
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Videos
Question
Chapter 13, Problem 4RE
(a)
To determine
A near- tree must be planar. If a near-tree is a connected graph that contains exactly one circuit.
(b)
To determine
The relationship between the number of edges and the number of vertices in a near-tree.
(c)
To determine
To prove: If a near-tree a vertex of degree 3 then it also has a vertex of degree 1.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Problem #4
For events E and F, let P(E) = 0.25, P(F) = 0.4 and P(E UF) = 0.55.
a). Find P(EF)
b). Are events E and F dependent or independent? Explain your reasoning.
c). Are events E and F mutually exclusive events? Explain your reasoning.
In a study on speed control, it was found that the main reasons for regulations were to make traffic flow efficient and to minimize the risk of danger. An area that was focused on in the study was the distance required to completely stop a vehicle at various speeds. Use the following table to answer the questions.
MPH
Braking distance (yrds)
5
10
10
17
20
27
30
50
40
60
50
100
60
150
70
200
CClever Portal
CA
Co Managed bookmarks
ixl.com/math/geometry/surface-area-and-volume-review?ImsPlatform=1
IXL
My IXL
Learning
Assessment
Geometry > U.15 Surface area and volume review TER
C
Learn with an example or
► Watch a video
What is the surface area of this cone?
Use л ≈ 3.14 and round your answer to the nearest hundredth.
7 ft
8 ft
Submit
square feet
Type here to search
Work it out
Not feeling ready yet? These can help:
0
F1
1
2
F2
F3
#3
X
F4
C
F5
$
4
%
L
E
F6
+
回
F7
F8
F9
&
об г
Chapter 13 Solutions
Discrete Mathematics with Graph Theory (Classic Version) (3rd Edition) (Pearson Modern Classics for Advanced Mathematics Series)
Ch. 13.1 - Prob. 1TFQCh. 13.1 - Prob. 2TFQCh. 13.1 - Prob. 3TFQCh. 13.1 - Prob. 4TFQCh. 13.1 - Prob. 5TFQCh. 13.1 - Prob. 6TFQCh. 13.1 - Prob. 7TFQCh. 13.1 - Prob. 8TFQCh. 13.1 - Prob. 9TFQCh. 13.1 - Prob. 10TFQ
Ch. 13.1 - [BB] Show that the graph is planar by drawing an...Ch. 13.1 - Prob. 2ECh. 13.1 - Prob. 3ECh. 13.1 - 4. One of the two graphs is planar; the other is...Ch. 13.1 - Prob. 5ECh. 13.1 - Prob. 6ECh. 13.1 - Prob. 7ECh. 13.1 - Prob. 8ECh. 13.1 - Prob. 9ECh. 13.1 - Prob. 10ECh. 13.1 - Prob. 11ECh. 13.1 - Prob. 12ECh. 13.1 - Prob. 13ECh. 13.1 - Prob. 14ECh. 13.1 - Prob. 15ECh. 13.1 - Discover what you can about Kazimierz Kuratowski...Ch. 13.1 - Prob. 17ECh. 13.1 - Prob. 18ECh. 13.1 - Prob. 19ECh. 13.1 - [BB] Prove that every planar graph V2 vertices has...Ch. 13.1 - Prob. 21ECh. 13.1 - [BB] suppose G is a connected planar graph in...Ch. 13.1 - Prob. 23ECh. 13.1 - Prob. 24ECh. 13.1 - Prob. 25ECh. 13.2 - Prob. 1TFQCh. 13.2 - Prob. 2TFQCh. 13.2 - Prob. 3TFQCh. 13.2 - Prob. 4TFQCh. 13.2 - Prob. 5TFQCh. 13.2 - Prob. 6TFQCh. 13.2 - Prob. 7TFQCh. 13.2 - Prob. 8TFQCh. 13.2 - Prob. 9TFQCh. 13.2 - Prob. 10TFQCh. 13.2 - Prob. 1ECh. 13.2 - Prob. 2ECh. 13.2 - Prob. 3ECh. 13.2 - Prob. 4ECh. 13.2 - Prob. 5ECh. 13.2 - Prob. 6ECh. 13.2 - Prob. 7ECh. 13.2 - Prob. 8ECh. 13.2 - Prob. 9ECh. 13.2 - Prob. 10ECh. 13.2 - Prob. 11ECh. 13.2 - Prob. 12ECh. 13.2 - Prob. 13ECh. 13.2 - Prob. 14ECh. 13.2 - Prob. 15ECh. 13.2 - Prob. 16ECh. 13.2 - Prob. 17ECh. 13.2 - Prob. 18ECh. 13.2 - Prob. 19ECh. 13.2 - Prob. 20ECh. 13.2 - [BB] The following semester, all the students in...Ch. 13.2 - Prob. 22ECh. 13.2 - 23. The local day care center has a problem...Ch. 13.2 - Prob. 24ECh. 13.2 - Prob. 25ECh. 13.2 - (a) [BB] Draw the dual graph of the cube...Ch. 13.2 - [BB] is it possible for a plane graph, considered...Ch. 13.3 - Prob. 1TFQCh. 13.3 - Prob. 2TFQCh. 13.3 - Prob. 3TFQCh. 13.3 - Prob. 4TFQCh. 13.3 - Prob. 5TFQCh. 13.3 - Prob. 6TFQCh. 13.3 - Prob. 7TFQCh. 13.3 - Prob. 8TFQCh. 13.3 - Prob. 9TFQCh. 13.3 - Prob. 10TFQCh. 13.3 - Prob. 1ECh. 13.3 - Prob. 2ECh. 13.3 - [BB] True or False? A line-of-sight graph is...Ch. 13.3 - Prob. 4ECh. 13.3 - Prob. 5ECh. 13.3 - Prob. 6ECh. 13.3 - Prob. 7ECh. 13.3 - Prob. 8ECh. 13.3 - [BB] Assume that the only short circuits in a...Ch. 13.3 - Prob. 10ECh. 13.3 - 11. Find a best possible feasible relationship...Ch. 13.3 - Prob. 12ECh. 13.3 - Prob. 13ECh. 13.3 - Prob. 14ECh. 13.3 - Prob. 15ECh. 13.3 - [BB] Apply Brookss Theorem (p. 422 ) to find the...Ch. 13 - (a) Show that the graph below is planar by drawing...Ch. 13 - Prob. 2RECh. 13 - Prob. 3RECh. 13 - Prob. 4RECh. 13 - Prob. 5RECh. 13 - Prob. 6RECh. 13 - Prob. 7RECh. 13 - Prob. 8RECh. 13 - Prob. 9RECh. 13 - Prob. 10RECh. 13 - Prob. 11RECh. 13 - Prob. 12RECh. 13 - Prob. 13RECh. 13 - 14. Suppose that in one particular semester there...Ch. 13 - Prob. 15RECh. 13 - 16. Draw the line-of-sight graph associated with...Ch. 13 - Prob. 17RECh. 13 - Prob. 18RECh. 13 - Prob. 19RECh. 13 - A contractor is building a single house for a...Ch. 13 - 23. The Central Newfoundland Hospital Board would...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.Similar questions
- In Gallup's Annual Consumption Habits Poll, telephone interviews were conducted for a random sample of 1014 adults aged 18 and over. One of the questions was, "How many cups of coffee, if any, do you drink on an average day?" The following table shows the results obtained (Gallup website, August 6, 2012). Number of Cups per Day 0 1 2 3 4 or more Number of Responses 365 264 193 91 101 Define a random variable x = number of cups of coffee consumed on an average day. Let x=4 represent four or more cups. a. Develop a probability distribution for x. b. Compute the expected value of x. c. Compute the variance of x. d. Suppose we are only interested in adults who drink at least one cup of coffee on an average day. For this group, let y = the number of cups of coffee consumed on an average day. Compute the expected value of y and compare it to the expected value of x.arrow_forwardTen major college football bowl games were played in January 2010, with the University of Alabama beating the University of Texas 37 to 21 to become the national champion of college football. The results of the 10 bowl games follow (USA Today, January 8, 2010). Bowl Game Score Outback Gator Auburn 38 Northwestern 35 Florida State 33 West Virginia 21 Capital One Penn State 19 LSU 17 Rose Ohio State 26 Oregon 17 Florida 51 Cincinnati 24 Sugar Cotton Alamo Fiesta Mississippi State 21 Oklahoma State 7 Texas Tech 41 Michigan State 31 Boise State 17 TCU 10 Orange Iowa 24 Georgia Tech 14 Championship Alabama 37 Texas 21 Predicted Point Margin Actual Point Margin 5 3 1 12 3 -2 14 3 9 -4 -3 4 229740706 14 10 10 16 The predicted winning point margin was based on Las Vegas betting odds approximately one week before the bowl games were played. For example, Auburn was predicted to beat Northwestern in the Outback Bowl by five points. The actual winning point margin for Au- burn was three points. A…arrow_forwardIn 2007 the New York Times reported that the median annual household income in the United States was $55,500 (New York Times website, August, 21, 2013). Answer the following questions based on the following sample of 14 household incomes for 2013 ($1000s). 49.4 52.2 52.4 53.4 51.3 52.1 48.7 64.5 51.6 46.5 52.9 52.5 52.1 51.2 a. What is the median household income for the sample data for 2013? b. Based on the sample data, estimate the percentage change in the median household income from 2007 to 2013. c. Compute the first and third quartiles.arrow_forward
- Evaluate the triple integral 3' 23 HIG 2 +3 f(x, y, z)dxdydz where f(x, y, z) = x + 2x-y ม u = v = and w = 2 2 3 Triple Integral Region R -2 x N 2 y 3arrow_forwardFind the volume of the solid bounded below by the circular cone z = 2.5√√√x² + y² and above by the sphere x² + y²+z² = 6.5z.arrow_forwardElectric charge is distributed over the triangular region D shown below so that the charge density at (x, y) is σ(x, y) = 4xy, measured in coulumbs per square meter (C/m²). Find the total charge on D. Round your answer to four decimal places. 1 U 5 4 3 2 1 1 2 5 7 coulumbsarrow_forward
- Let E be the region bounded cone z = √√/6 - (x² + y²) and the sphere z = x² + y² + z² . Provide an answer accurate to at least 4 significant digits. Find the volume of E. Triple Integral Spherical Coordinates Cutout of sphere is for visual purposes 0.8- 0.6 z 04 0.2- 0- -0.4 -0.2 04 0 0.2 0.2 x -0.2 04 -0.4 Note: The graph is an example. The scale and equation parameters may not be the same for your particular problem. Round your answer to 4 decimal places. Hint: Solve the cone equation for phi. * Oops - try again.arrow_forwardThe temperature at a point (x,y,z) of a solid E bounded by the coordinate planes and the plane 9.x+y+z = 1 is T(x, y, z) = (xy + 8z +20) degrees Celcius. Find the average temperature over the solid. (Answer to 4 decimal places). Average Value of a function using 3 variables z 1- y Hint: y = -a·x+1 * Oops - try again. xarrow_forwardFind the saddle pointsarrow_forward
- Problem #5 Section A of my math class has 110 students. Section B of my math class has 80 students. a). If I randomly select 15 students from the combined classes, in a way that the order of my selection does not matter, what is the probability that all 15 students can from Section A? b). If I randomly select 15 students from the combined classes, in a way that the order of my selection does not matter, what is the probability that all 15 students can from Section B? c). If I randomly select 15 students from the combined classes, in a way that the order of my selection does not matter, what is the probability that all 7 students come from section A and 8 students come from section B?arrow_forwardProblem #6 A special passcode to unlock your phone consists of 4 digits where repeated digits are not allowed. If someone were to randomly guess a 4 digit passcode, what is the probability that they guess your passcode on the first try?arrow_forwardProblem #3 If a card is picked at random from a standard 52-card deck, what is the probability of getting a black card or a queen?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning
Trigonometry (MindTap Course List)TrigonometryISBN:9781337278461Author:Ron LarsonPublisher:Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL
Trigonometry (MindTap Course List)TrigonometryISBN:9781305652224Author:Charles P. McKeague, Mark D. TurnerPublisher:Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:9781133382119
Author:Swokowski
Publisher:Cengage
College Algebra (MindTap Course List)
Algebra
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry
ISBN:9781337278461
Author:Ron Larson
Publisher:Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Trigonometry (MindTap Course List)
Trigonometry
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Cengage Learning
Graph Theory: Euler Paths and Euler Circuits; Author: Mathispower4u;https://www.youtube.com/watch?v=5M-m62qTR-s;License: Standard YouTube License, CC-BY
WALK,TRIAL,CIRCUIT,PATH,CYCLE IN GRAPH THEORY; Author: DIVVELA SRINIVASA RAO;https://www.youtube.com/watch?v=iYVltZtnAik;License: Standard YouTube License, CC-BY