Thinking Mathematically (6th Edition)
6th Edition
ISBN: 9780321867322
Author: Robert F. Blitzer
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 14.3, Problem 12E
For each graph in Exercises 9-14,
a. Determine if the graph must have Hamilton circuits. Explain your answer
b. If the graph must have Hamilton circuits, determine the number of such circuits.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
2. Describe each graph below. Explain how many vertices and how many edges it has, and if it is a tree or not a tree.
Graphs
A LA
Write your response below:
Adult male Lamprologus callipterus (a type of fish) are much bigger than their
female counterparts. They weigh about 13 times as much. Also, while females
reach a length of 6 centimeters, males reach a length of 15 centimeters.
The graphs shows the lengths and weights of each fish caught on a
fishing trip.
What is the best meaning of the clustering in the graph?
80
60
A) Most of the fish caught were male.
B) There are no clusters on the graph.
40 +
C) The clusters shown on the graph agree with the information
provided and there is a large difference between the male and
female fish that were caught.
20 +
D) The clusters shown on the graph disagree with the information
provided and shows that male and females are roughly the
same length and weight.
2 4 6 8 10 12 14
Length (cm)
Weight (g)
An office building is installing eight Wi-Fi transmitting stations. Any stations within 200 feet of each other must transmit on different channels. The engineers have a chart of the distance between between each pair of stations. Suppose that they draw a graph where each vertex represents a Wi-Fi station and an edge connects two vertices if the distance between the stations is 200 feet or less. What would the chromatic number of the graph tell the engineers? Explain
Chapter 14 Solutions
Thinking Mathematically (6th Edition)
Ch. 14.1 - CHECK POINT 1 Explain why Figures 14.4(a) and (b)...Ch. 14.1 - CHECK POINT 2 The city of Metroville is located on...Ch. 14.1 - Prob. 3CPCh. 14.1 - CHECK POINT 4 The floor plan of a four-room house...Ch. 14.1 - CHECK POINT 5 A security guard needs to walk the...Ch. 14.1 - CHECK POINT 6 List the pairs of adjacent vertices...Ch. 14.1 - Fill in each blank so that the resulting statement...Ch. 14.1 - Fill in each blank so that the resulting statement...Ch. 14.1 - Fill in each blank so that the resulting statement...Ch. 14.1 - Fill in each blank so that the resulting statement...
Ch. 14.1 - Prob. 5CVCCh. 14.1 - Fill in each blank so that the resulting statement...Ch. 14.1 - Prob. 7CVCCh. 14.1 - Fill in each blank so that the resulting statement...Ch. 14.1 - Fill in each blank so that the resulting statement...Ch. 14.1 - The graph models the baseball schedule for a week....Ch. 14.1 - The graph models the baseball schedule for a week....Ch. 14.1 - The graph models the baseball schedule for a week....Ch. 14.1 - The graph models the baseball schedule for a week....Ch. 14.1 - Prob. 5ECh. 14.1 - Prob. 6ECh. 14.1 - In Exercises 7-8, explain why the two figures show...Ch. 14.1 - In Exercises 7-8, explain why the two figures show...Ch. 14.1 - Eight students form a math homework group. The...Ch. 14.1 - Prob. 10ECh. 14.1 - Prob. 11ECh. 14.1 - In Exercises 11-12, draw a graph that models the...Ch. 14.1 - In Exercises 13-14, create a graph that models the...Ch. 14.1 - In Exercises 13-14, create a graph that models the...Ch. 14.1 - In Exercises 15-18, draw a graph that models (he...Ch. 14.1 - In Exercises 15-18, draw a graph that models (he...Ch. 14.1 - In Exercises 15-18, draw a graph that models the...Ch. 14.1 - In Exercises 15-18, draw a graph that models the...Ch. 14.1 - In Exercises 19-20, a security guard needs to walk...Ch. 14.1 - In Exercises 19-20, a security guard needs to walk...Ch. 14.1 - In Exercises 21-22, a mail carrier is to walk the...Ch. 14.1 - In Exercises 21-22, a mail carrier is to walk the...Ch. 14.1 - In Exercises 23-33, use the following graph. Find...Ch. 14.1 - In Exercises 23-33, use the following graph....Ch. 14.1 - In Exercises 23-33, use the following graph. Which...Ch. 14.1 - In Exercises 23-33, use the following graph.
26....Ch. 14.1 - In Exercises 23-33, use the following graph.
27....Ch. 14.1 - In Exercises 23-33, use the following graph. Use...Ch. 14.1 - Prob. 29ECh. 14.1 - Prob. 30ECh. 14.1 - Prob. 31ECh. 14.1 - In Exercises 23-33, use the following...Ch. 14.1 - Prob. 33ECh. 14.1 - Prob. 34ECh. 14.1 - In Exercises 34-48, use the following...Ch. 14.1 - In Exercises 34-48, use the following graph. Which...Ch. 14.1 - In Exercises 34-48, use the following graph. Which...Ch. 14.1 - In Exercises 34-48, use the following graph. Use...Ch. 14.1 - In Exercises 34-48, use the following...Ch. 14.1 - In Exercises 34-48, use the following graph. Use...Ch. 14.1 - Prob. 41ECh. 14.1 - Prob. 42ECh. 14.1 - In Exercises 34-48, use the following...Ch. 14.1 - In Exercises 34-48, use the following graph,...Ch. 14.1 - In Exercises 34-48, use the fallowing graph....Ch. 14.1 - Prob. 46ECh. 14.1 - Prob. 47ECh. 14.1 - In Exercises 34-48, use the following graph....Ch. 14.1 - Prob. 49ECh. 14.1 - In Exercises 49-52, draw a graph with the given...Ch. 14.1 - In Exercises 49-52, draw a graph with the given...Ch. 14.1 - In Exercises 49-52, draw a graph with the given...Ch. 14.1 - Prob. 53ECh. 14.1 - Prob. 54ECh. 14.1 - What are equivalent graphs?Ch. 14.1 - Prob. 56ECh. 14.1 - Prob. 57ECh. 14.1 - Prob. 58ECh. 14.1 - Prob. 59ECh. 14.1 - Prob. 60ECh. 14.1 - Prob. 61ECh. 14.1 - Prob. 62ECh. 14.1 - Prob. 63ECh. 14.1 - Prob. 64ECh. 14.1 - Prob. 65ECh. 14.1 - Make Sense? In Exercises dd-d9, determine whether...Ch. 14.1 - Make Sense? In Exercises dd-d9, determine whether...Ch. 14.1 - Prob. 68ECh. 14.1 - Prob. 69ECh. 14.1 - Prob. 70ECh. 14.1 - Use the information in Exercise 10 to draw a graph...Ch. 14.1 - Prob. 72ECh. 14.1 - Prob. 73ECh. 14.1 - Prob. 74ECh. 14.2 - CHECK POINT I Refer to the graph in Figure 1423....Ch. 14.2 - Prob. 2CPCh. 14.2 - Prob. 3CPCh. 14.2 - Prob. 4CPCh. 14.2 - Prob. 1CVCCh. 14.2 - Prob. 2CVCCh. 14.2 - Prob. 3CVCCh. 14.2 - Fill in each blank so that the resulting statement...Ch. 14.2 - Fill in each blank so that the resulting statement...Ch. 14.2 - Prob. 6CVCCh. 14.2 - Fill in each blank so that the resulting statement...Ch. 14.2 - Prob. 8CVCCh. 14.2 - Prob. 9CVCCh. 14.2 - Prob. 10CVCCh. 14.2 - Prob. 1ECh. 14.2 - Prob. 2ECh. 14.2 - Prob. 3ECh. 14.2 - In Exercises 1-6, use the graph shown. In each...Ch. 14.2 - Prob. 5ECh. 14.2 - Prob. 6ECh. 14.2 - Prob. 7ECh. 14.2 - In Exercises 7-8, a graph is given. a. Explain why...Ch. 14.2 - Prob. 9ECh. 14.2 - Prob. 10ECh. 14.2 - Prob. 11ECh. 14.2 - In Exercises 11-12, a graph is given. Explain why...Ch. 14.2 - In Exercises 13-18, a connected graph is...Ch. 14.2 - In Exercises 13-18, a connected graph is...Ch. 14.2 - Prob. 15ECh. 14.2 - In Exercises 13-18, a connected graph is...Ch. 14.2 - Prob. 17ECh. 14.2 - In Exercises 13-18, a connected graph is...Ch. 14.2 - Exercises 19-32, a graph is given.
a. Determine...Ch. 14.2 - In Exercises 19-32, a graph is given. a. Determine...Ch. 14.2 - In Exercises 19-32, a graph is given. a. Determine...Ch. 14.2 - In Exercises 19-32, a graph is given.
a. Determine...Ch. 14.2 - In Exercises 19-32, a graph is given.
a. Determine...Ch. 14.2 - In Exercises 19-32, a graph is given. a. Determine...Ch. 14.2 - In Exercises 19-32, a graph is given. a. Determine...Ch. 14.2 - In Exercises 19-32, a graph is given. a. Determine...Ch. 14.2 - In Exercises 19-32, a graph is given.
a. Determine...Ch. 14.2 - In Exercises 19-32, a graph is given.
a. Determine...Ch. 14.2 - In Exercises 19-32, a graph is given.
a. Determine...Ch. 14.2 - In Exercises 19-32, a graph is given.
a. Determine...Ch. 14.2 - In Exercises 19-32, a graph is given.
a. Determine...Ch. 14.2 - In Exercises 19-32, a graph is given.
a. Determine...Ch. 14.2 - In Exercises 33-36, use Fleury’s Algorithm to find...Ch. 14.2 - In Exercises 33-36, use Fleury’s Algorithm to find...Ch. 14.2 - In Exercises 33-36, use Fleury’s Algorithm to find...Ch. 14.2 - In Exercises 33-36, use Fleury’s Algorithm to find...Ch. 14.2 - In Exercises 37-40, use Fleury’s Algorithm to find...Ch. 14.2 - In Exercises 37-40, use Fleury’s Algorithm to find...Ch. 14.2 - In Exercises 37-40, use Fleury’s Algorithm to find...Ch. 14.2 - In Exercises 37-40, use Fleury’s Algorithm to find...Ch. 14.2 - In Exercises 41-44, a graph is given. a. Modify...Ch. 14.2 - In Exercises 41-44, a graph is given. a. Modify...Ch. 14.2 - In Exercises 41-44, a graph is given.
a. Modify...Ch. 14.2 - In Exercises 41-44, a graph is given.
a. Modify...Ch. 14.2 - Prob. 45ECh. 14.2 - In Exercises 45-18, we revisit the four-block;...Ch. 14.2 - Prob. 47ECh. 14.2 - In Exercises 45-48, we revisit the four-block,...Ch. 14.2 - Prob. 49ECh. 14.2 - Prob. 50ECh. 14.2 - In Exercises 51-52, the layout of a city with land...Ch. 14.2 - In Exercises 51-52, the layout of a city with land...Ch. 14.2 - Prob. 53ECh. 14.2 - In Exercises 54-55, a floor plan is shown.
a. Draw...Ch. 14.2 - In Exercises 54-55, a floor plan is shown.
a. Draw...Ch. 14.2 - Prob. 56ECh. 14.2 - Prob. 57ECh. 14.2 - Prob. 58ECh. 14.2 - Prob. 59ECh. 14.2 - In Exercises 50-60, a map is shown. a. Draw a...Ch. 14.2 - Prob. 61ECh. 14.2 - Prob. 62ECh. 14.2 - Prob. 63ECh. 14.2 - Prob. 64ECh. 14.2 - Prob. 65ECh. 14.2 - Prob. 66ECh. 14.2 - Prob. 67ECh. 14.2 - Prob. 68ECh. 14.2 - Make Sense? In Exercises 69-72, determine whether...Ch. 14.2 - Prob. 70ECh. 14.2 - Prob. 71ECh. 14.2 - Make Sense? Zn Exerciser 69-72, determine whether...Ch. 14.2 - Prob. 73ECh. 14.2 - Prob. 74ECh. 14.2 - Prob. 75ECh. 14.3 - CHECK POINT I a. Find a Hamilton path that begins...Ch. 14.3 - Prob. 2CPCh. 14.3 - CHECK POINT 3 Use the weighted graph in Figure...Ch. 14.3 - Prob. 4CPCh. 14.3 - Prob. 5CPCh. 14.3 - Prob. 1CVCCh. 14.3 - Prob. 2CVCCh. 14.3 - Fill in each blank so that the resulting statement...Ch. 14.3 - Prob. 4CVCCh. 14.3 - Fill in each blank so that the resulting statement...Ch. 14.3 - Fill in each blank so that the resulting statement...Ch. 14.3 - Prob. 7CVCCh. 14.3 - Prob. 8CVCCh. 14.3 - Prob. 1ECh. 14.3 - In Exercises 1-4, use the graph shown.
2. Find a...Ch. 14.3 - Prob. 3ECh. 14.3 - In Exercises 1-4, use the graph shown.
4. Find a...Ch. 14.3 - Prob. 5ECh. 14.3 - In Exercises 5-8, use the graph shown.
6. Find a...Ch. 14.3 - Prob. 7ECh. 14.3 - In Exercises 5-8, use the graph shown. Find a...Ch. 14.3 - For each graph in Exercises 9-14, a. Determine if...Ch. 14.3 - For each graph in Exercises 9-4, a. Determine if...Ch. 14.3 - For each graph in Exercises 9-14, a. Determine if...Ch. 14.3 - For each graph in Exercises 9-14,
a. Determine if...Ch. 14.3 - For each graph in Exercises 9-14,
a. Determine if...Ch. 14.3 - For each graph in Exercises 9-14, a. Determine if...Ch. 14.3 - In Exercises 15-18, determine the number of...Ch. 14.3 - In Exercises 15-18, determine the number of...Ch. 14.3 - In Exercises 15-18, determine the number of...Ch. 14.3 - In Exercises 15-18, determine the number of...Ch. 14.3 - In Exercises 19-24, use the complete, weighted...Ch. 14.3 - In Exercises 19-24, use the complete, weighted...Ch. 14.3 - In Exercises 19-24, use the complete, weighted...Ch. 14.3 - In Exercises 19-24, use the comple\te, weighted...Ch. 14.3 - In Exercises 19-24, use the complete, weighted...Ch. 14.3 - In Exercises 19-24, use the complete, weighted...Ch. 14.3 - In Exercises 25-34, use the complete, weighted...Ch. 14.3 - In Exercises 25-34, use the complete, weighted...Ch. 14.3 - In Exercises 25-34, use the complete, weighted...Ch. 14.3 - In Exercises 25-34, use the complete, weighted...Ch. 14.3 - In Exercises 25-34, use the complete, weighted...Ch. 14.3 - In Exercises 25-34, use the complete, weighted...Ch. 14.3 - In Exercises 25-34, use the complete, weighted...Ch. 14.3 - In Exercises 25-34, use the complete, weighted...Ch. 14.3 - In Exercises 25-34, use the complete, weighted...Ch. 14.3 - In Exercises 25-34, use the complete, weighted...Ch. 14.3 - Practice Plus
In Exercises 35-38, a graph is...Ch. 14.3 - Practice Plus
In Exercises 35-3S, a graph is...Ch. 14.3 - Practice Plus
In Exercises 35-38, a graph is...Ch. 14.3 - Practice Plus In Exercises 35-38, a graph is...Ch. 14.3 - Application Exercises In Exercises 39-40, a sales...Ch. 14.3 - Prob. 40ECh. 14.3 - Use the map to fill in the three missing weights...Ch. 14.3 - Prob. 42ECh. 14.3 - Using the Brute Force Method, the optimal solution...Ch. 14.3 - 44. Use the Nearest Neighbor Method to find an...Ch. 14.3 - In Exercises 45-47, you have three errands to run...Ch. 14.3 - In Exercises 45-47, you have three errands to run...Ch. 14.3 - Prob. 47ECh. 14.3 - Prob. 48ECh. 14.3 - Prob. 49ECh. 14.3 - Prob. 50ECh. 14.3 - Prob. 51ECh. 14.3 - Prob. 52ECh. 14.3 - Prob. 53ECh. 14.3 - Prob. 54ECh. 14.3 - Prob. 55ECh. 14.3 - 56. Why is the Brute Force Method impractical for...Ch. 14.3 - Prob. 57ECh. 14.3 - Prob. 58ECh. 14.3 - 59. An efficient solution for solving traveling...Ch. 14.3 - Make Sense? In Exercises60-63, determine whether...Ch. 14.3 - Prob. 61ECh. 14.3 - Prob. 62ECh. 14.3 - Make Sense? In Exercises 60-63, determine whether...Ch. 14.3 - Prob. 64ECh. 14.3 - Ambassadors from countries A, B, C, D, E, and F...Ch. 14.3 - 66. In this group exercise, you will create and...Ch. 14.4 - CHECK POINT I Which graph in Figure 14.51 is a...Ch. 14.4 - Prob. 2CPCh. 14.4 - Prob. 3CPCh. 14.4 - Prob. 1CVCCh. 14.4 - Prob. 2CVCCh. 14.4 - Prob. 3CVCCh. 14.4 - Prob. 4CVCCh. 14.4 - Prob. 5CVCCh. 14.4 - Prob. 6CVCCh. 14.4 - Prob. 1ECh. 14.4 - Prob. 2ECh. 14.4 - Prob. 3ECh. 14.4 - Prob. 4ECh. 14.4 - Prob. 5ECh. 14.4 - Prob. 6ECh. 14.4 - Prob. 7ECh. 14.4 - Prob. 8ECh. 14.4 - Prob. 9ECh. 14.4 - Prob. 10ECh. 14.4 - Prob. 11ECh. 14.4 - Prob. 12ECh. 14.4 - Prob. 13ECh. 14.4 - Prob. 14ECh. 14.4 - Prob. 15ECh. 14.4 - Prob. 16ECh. 14.4 - Prob. 17ECh. 14.4 - Prob. 18ECh. 14.4 - Prob. 19ECh. 14.4 - Prob. 20ECh. 14.4 - Prob. 21ECh. 14.4 - Prob. 22ECh. 14.4 - Prob. 23ECh. 14.4 - Prob. 24ECh. 14.4 - Prob. 25ECh. 14.4 - Prob. 26ECh. 14.4 - Prob. 27ECh. 14.4 - Prob. 28ECh. 14.4 - Prob. 29ECh. 14.4 - Prob. 30ECh. 14.4 - Prob. 31ECh. 14.4 - Prob. 32ECh. 14.4 - Prob. 33ECh. 14.4 - Prob. 34ECh. 14.4 - Prob. 35ECh. 14.4 - Prob. 36ECh. 14.4 - Prob. 37ECh. 14.4 - Prob. 38ECh. 14.4 - A college campus plans to provide awnings above...Ch. 14.4 - Prob. 40ECh. 14.4 - Prob. 41ECh. 14.4 - Prob. 42ECh. 14.4 - Prob. 43ECh. 14.4 - Prob. 44ECh. 14.4 - Prob. 45ECh. 14.4 - Prob. 46ECh. 14.4 - Prob. 47ECh. 14.4 - Prob. 48ECh. 14.4 - Prob. 49ECh. 14.4 - Prob. 50ECh. 14.4 - Prob. 51ECh. 14.4 - Make Sense? In Exercises52-55, determine whether...Ch. 14.4 - Prob. 53ECh. 14.4 - Make Sense? In Exercises52-55, determine whether...Ch. 14.4 - Prob. 55ECh. 14.4 - Prob. 56ECh. 14.4 - Prob. 57ECh. 14.4 - Prob. 58ECh. 14 - Prob. 1TCh. 14 - Prob. 2TCh. 14 - In Exercises 1-4, use the following graph. Use...Ch. 14 - Prob. 4TCh. 14 - Prob. 5TCh. 14 - Prob. 6TCh. 14 - Prob. 7TCh. 14 - Prob. 8TCh. 14 - Prob. 9TCh. 14 - 10. a. Draw a graph that models the layout of the...Ch. 14 - Prob. 11TCh. 14 - Prob. 12TCh. 14 - 13 Find two Hamilton circuits in the graph shown....Ch. 14 - Prob. 14TCh. 14 - Prob. 15TCh. 14 - Prob. 16TCh. 14 - Prob. 17TCh. 14 - Prob. 18TCh. 14 - Prob. 19TCh. 14 - Prob. 20TCh. 14 - Explain why the two figures show equivalent...Ch. 14 - In Exercises 2-8, use the following graph.
2....Ch. 14 - Prob. 3RECh. 14 - Prob. 4RECh. 14 - Prob. 5RECh. 14 - Prob. 6RECh. 14 - Prob. 7RECh. 14 - Prob. 8RECh. 14 - Prob. 9RECh. 14 - Prob. 10RECh. 14 - Prob. 11RECh. 14 - Prob. 12RECh. 14 - Prob. 13RECh. 14 - In Exercises 13-15, a graph is given.
a. Determine...Ch. 14 - In Exercises 13-15, a graph is given.
a. Determine...Ch. 14 - Use Fleury’s Algorithm to find an Euler path.Ch. 14 - Prob. 17RECh. 14 - Prob. 18RECh. 14 - Refer to Exercise 11. Use your graph to determine...Ch. 14 - Refer to Exercise 12. a. Use your graph to...Ch. 14 - Prob. 21RECh. 14 - Prob. 22RECh. 14 - Prob. 23RECh. 14 - For each graph in Exercises 24-27
a. Determine if...Ch. 14 - Prob. 25RECh. 14 - Prob. 26RECh. 14 - Prob. 27RECh. 14 - Prob. 28RECh. 14 - Prob. 29RECh. 14 - Prob. 30RECh. 14 - Use the Nearest Neighbor Method to find a Hamilton...Ch. 14 - Prob. 32RECh. 14 - Prob. 33RECh. 14 - Prob. 34RECh. 14 - Prob. 35RECh. 14 - Prob. 36RECh. 14 - Prob. 37RECh. 14 - Prob. 38RECh. 14 - Prob. 39RECh. 14 - Prob. 40RECh. 14 - 41. A fiber-optic cable system is to be installed...
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
- Use the graph below to answer the follow questions. A. Determine how many vertices the graph has. B. Determine how many edges the graph has. C. Determine the degree of each vertex. vertex A: vertex B: vertex C: vertex D: vertex E: vertex F: vertex G: vertex H: D.This graph is currently connected. What edges could be removed to make it disconnected?arrow_forwarda. Draw a graph that represents this information where each vertex represents a student and an edge connects two vertices if the corresponding students study together. b. Use your graph to answer the following questions: Which student is involved in the most study groups with the others? 2. Which student has only one study group in common with the others? 3. How many study groups does Laura have in common with the others?arrow_forward
Recommended textbooks for you
Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL
Algebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal Littell
College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Algebra: Structure And Method, Book 1
Algebra
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:McDougal Littell
College Algebra (MindTap Course List)
Algebra
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
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