Mathematics All Around (6th Edition)
6th Edition
ISBN: 9780134506470
Author: Pirnot
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Textbook Question
Chapter 4.1, Problem 35E
Exercise 35 and 36 are similar to DUCK tour problem in Example 5. Model map by a graph and then Eulerize it to design a route that uses a minimal number of streets more than once.
Example 5 Designing a DUCK Tour
The Boston DUCK tour company wants to design a DUCK route in a historic area of Boston shown in the map in Figure 4.13 . We want to begin and end the tour at the same location and minimize traveling over any street more than once. Find such a route.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Scott and Associates, Inc., is an accounting firm that has three new clients. Project leaders will be assigned to the three clients. Based on the different backgrounds and experiences of the leaders, the various leader–client assignments differ in terms of projected completion times. The possible assignments and the estimated completion times in days are as follows:
Requireda. Develop a network representation of this problem.b. Find the optimal solution using the Hungarian method. What is the total time required?
A major hotel chain is constructing a new resort hotel complex in Greenbranch Springs, WestVirginia. The resort is in a heavily wooded area, and the developers want to preserve as much ofthe natural beauty as possible. To do so, the developers want to connect all the various facilitiesin the complex with a combination walking–riding path that will minimize the amount of pathwaythat will have to be cut through the woods. The following network shows possible connectingpaths and corresponding distances (in yards) between the facilities: Determine the path that will connect all the facilities with the minimum amount of constructionand indicate the total length of the pathway.
The subject is discrete math
Part III. Determine the number of vertices and edges and find the in-degree and out-degree of each vertex for the given directed multigraph.
Chapter 4 Solutions
Mathematics All Around (6th Edition)
Ch. 4.1 - In Exercise 1-6, determine whether the graph is...Ch. 4.1 - In Exercise 1-6, determine whether the graph is...Ch. 4.1 - In Exercise 1-6, determine whether the graph is...Ch. 4.1 - In Exercise 1-6, determine whether the graph is...Ch. 4.1 - In Exercise 1-6, determine whether the graph is...Ch. 4.1 - In Exercise 1-6, determine whether the graph is...Ch. 4.1 - In Exercises 7-12, use Eulers theorem to decide...Ch. 4.1 - In Exercises 7-12, use Eulers theorem to decide...Ch. 4.1 - In Exercises 7-12, use Eulers theorem to decide...Ch. 4.1 - In Exercises 7-12, use Eulers theorem to decide...
Ch. 4.1 - In Exercises 7-12, use Eulers theorem to decide...Ch. 4.1 - In Exercises 7-12, use Eulers theorem to decide...Ch. 4.1 - In Exercise 13-16, if the given graph is Eulerian,...Ch. 4.1 - In Exercise 13-16, if the given graph is Eulerian,...Ch. 4.1 - In Exercise 13-16, if the given graph is Eulerian,...Ch. 4.1 - In Exercise 13-16, if the given graph is Eulerian,...Ch. 4.1 - In Exercises 17-24, try to give an example of each...Ch. 4.1 - Prob. 18ECh. 4.1 - In Exercises 17-24, try to give an example of each...Ch. 4.1 - In Exercises 17-24, try to give an example of each...Ch. 4.1 - In Exercises 17-24, try to give an example of each...Ch. 4.1 - Prob. 22ECh. 4.1 - Prob. 23ECh. 4.1 - Prob. 24ECh. 4.1 - In Exercise 25-28, remove one edge to make the...Ch. 4.1 - Prob. 26ECh. 4.1 - Prob. 27ECh. 4.1 - In Exercise 25-28, remove one edge to make the...Ch. 4.1 - In Exercise 29-32, try to redraw the given graph...Ch. 4.1 - In Exercise 29-32, try to redraw the given graph...Ch. 4.1 - In Exercise 29-32, try to redraw the given graph...Ch. 4.1 - In Exercise 29-32, try to redraw the given graph...Ch. 4.1 - Finding an efficient route. A taxi driver wants to...Ch. 4.1 - Finding an efficient route. Repeat Exercises 33...Ch. 4.1 - Exercise 35 and 36 are similar to DUCK tour...Ch. 4.1 - Exercise 35 and 36 are similar to DUCK tour...Ch. 4.1 - Represent the maps given in Exercises 37-40 by...Ch. 4.1 - Represent the maps given in Exercises 37-40 by...Ch. 4.1 - Represent the maps given in Exercises 37-40 by...Ch. 4.1 - Represent the maps given in Exercises 37-40 by...Ch. 4.1 - Prob. 41ECh. 4.1 - Prob. 42ECh. 4.1 - Prob. 43ECh. 4.1 - Prob. 44ECh. 4.1 - Prob. 45ECh. 4.1 - Prob. 46ECh. 4.1 - Prob. 47ECh. 4.1 - In Exercises 4548, we give you a group of states....Ch. 4.1 - Finding an efficient route. Because of Michaels...Ch. 4.1 - Prob. 50ECh. 4.1 - Use the technique that we used in Example 7 to do...Ch. 4.1 - Use the technique that we used in Example 7 to do...Ch. 4.1 - Use the technique that we used in Example 7 to do...Ch. 4.1 - Use the technique that we used in Example 7 to do...Ch. 4.1 - If, in tracing a graph, we neither begin nor end...Ch. 4.1 - Examine a number of the graphs that we have drawn...Ch. 4.1 - Can an Eulerian graph have a bridge? In order to...Ch. 4.1 - Consider any graph that has some odd and also some...Ch. 4.1 - Discuss specific examples of ways that...Ch. 4.1 - Prob. 60ECh. 4.1 - Draw a graph that can be colored with only two...Ch. 4.1 - Draw a graph that cannot be colored with two...Ch. 4.1 - Draw a graph that cannot be colored with three...Ch. 4.1 - Can you state what configuration of vertices will...Ch. 4.1 - Different notes on a trumpet are obtained by...Ch. 4.1 - If an instrument has four valves, there are 16...Ch. 4.1 - Assume that the registrar at your school is...Ch. 4.1 - Make up a scheduling problem that would be of some...Ch. 4.2 - Prob. 1ECh. 4.2 - Prob. 2ECh. 4.2 - Prob. 3ECh. 4.2 - Prob. 4ECh. 4.2 - Prob. 5ECh. 4.2 - Prob. 6ECh. 4.2 - Prob. 7ECh. 4.2 - Prob. 8ECh. 4.2 - How many Hamilton circuits are in K7?Ch. 4.2 - How many Hamilton circuits are in K8?Ch. 4.2 - Prob. 11ECh. 4.2 - Prob. 12ECh. 4.2 - Prob. 13ECh. 4.2 - Prob. 14ECh. 4.2 - Prob. 15ECh. 4.2 - Prob. 16ECh. 4.2 - Prob. 17ECh. 4.2 - Prob. 18ECh. 4.2 - Prob. 19ECh. 4.2 - Prob. 20ECh. 4.2 - Prob. 21ECh. 4.2 - Prob. 22ECh. 4.2 - Prob. 23ECh. 4.2 - Prob. 24ECh. 4.2 - In Exercises 23 -28, use the best edge algorithm...Ch. 4.2 - Prob. 26ECh. 4.2 - In Exercise 23 -28, use the best edge algorithm to...Ch. 4.2 - In Exercise 23 -28, use the best edge algorithm to...Ch. 4.2 - Simon Cowell plans a series of live shows from...Ch. 4.2 - ESPN is planning to do a special series called...Ch. 4.2 - Foodandwine.com states that the best ice cream...Ch. 4.2 - In order to try to solve a European financial...Ch. 4.2 - Prob. 33ECh. 4.2 - Prob. 34ECh. 4.2 - Prob. 35ECh. 4.2 - Prob. 36ECh. 4.2 - Prob. 37ECh. 4.2 - Prob. 38ECh. 4.2 - Prob. 39ECh. 4.2 - Prob. 40ECh. 4.2 - Prob. 41ECh. 4.2 - Prob. 42ECh. 4.2 - Prob. 43ECh. 4.2 - Prob. 44.1ECh. 4.2 - Prob. 44.2ECh. 4.2 - Prob. 45.1ECh. 4.2 - Prob. 45.2ECh. 4.2 - Prob. 45.3ECh. 4.2 - Prob. 49ECh. 4.2 - Prob. 51ECh. 4.2 - Prob. 52ECh. 4.3 - In Exercises 1-4, use each graph to find the...Ch. 4.3 - In Exercises 1-4, use each graph to find the...Ch. 4.3 - In Exercises 1-4, use each graph to find the...Ch. 4.3 - In Exercises 1-4, use each graph to find the...Ch. 4.3 - Prob. 5ECh. 4.3 - Prob. 6ECh. 4.3 - Prob. 7ECh. 4.3 - Prob. 8ECh. 4.3 - Modeling the spread of rumours. Ryan, Dwight, Pam,...Ch. 4.3 - Modeling the spread of classified information....Ch. 4.3 - Modeling the flow of paperwork through a...Ch. 4.3 - Modeling the spread of disease. The following...Ch. 4.3 - Prob. 13ECh. 4.3 - Modeling a communication network. An AMBER alert...Ch. 4.3 - Ranking football teams. The given graph shows the...Ch. 4.3 - Ranking American Gladiators. The graph below shows...Ch. 4.3 - Modeling influence. A designer who wishes to...Ch. 4.3 - Prob. 18ECh. 4.3 - Prob. 19ECh. 4.3 - Ranking CrossFit competitors. CrossFit is a...Ch. 4.3 - Prob. 21ECh. 4.3 - Prob. 22ECh. 4.3 - Prob. 23ECh. 4.3 - Prob. 24ECh. 4.3 - Prob. 25ECh. 4.3 - Prob. 26ECh. 4.3 - Prob. 27ECh. 4.3 - Prob. 28ECh. 4.3 - Prob. 29ECh. 4.3 - Communicating Mathematics In the incidence...Ch. 4.3 - Math in Your Life: Between the Numbers The history...Ch. 4.3 - Prob. 32ECh. 4.3 - Prob. 33ECh. 4.3 - Prob. 34ECh. 4.4 - Sharpening Your Skills. In Exercises 1 4, assume...Ch. 4.4 - Sharpening Your Skills. In Exercises 1 4, assume...Ch. 4.4 - Sharpening Your Skills. In Exercises 1 4, assume...Ch. 4.4 - Sharpening Your Skills. In Exercises 1 4, assume...Ch. 4.4 - Sharpening Your Skills. In Exercises 5 8, use the...Ch. 4.4 - Sharpening Your Skills. In Exercises 5 8, use the...Ch. 4.4 - Sharpening Your Skills. In Exercises 5 8, use the...Ch. 4.4 - Sharpening Your Skills. In Exercises 5 8, use the...Ch. 4.4 - Applying What Youve Learned. Planning a festival....Ch. 4.4 - Applying What Youve Learned. Organizing a project....Ch. 4.4 - Applying What Youve Learned. Building a student...Ch. 4.4 - Applying What Youve Learned. Organizing a health...Ch. 4.4 - Applying What Youve Learned. Organizing an...Ch. 4.4 - Communicating Mathematics. Study Figure 4.35 with...Ch. 4.4 - Communicating Mathematics. Write a brief report on...Ch. 4.4 - Challenge yourself. Planning an innovative house....Ch. 4.CR - Section 4.1 Use the preceding graph to answer the...Ch. 4.CR - Section 4.1 Explain how graphs are used to model a...Ch. 4.CR - Section 4.1 Which of the following graphs can be...Ch. 4.CR - Section 4.1 Use Fleurys algorithm to find an Euler...Ch. 4.CR - Section 4.1 Model the following street map with a...Ch. 4.CR - Prob. 6CRCh. 4.CR - Section 4.1 Allison, Branden, Colin, Donny, Erica,...Ch. 4.CR - Section 4.2 Find all Hamilton circuits that begin...Ch. 4.CR - Section 4.2 Use the following weighted graph to...Ch. 4.CR - Section 4.2 Use the following weighted graph to...Ch. 4.CR - Prob. 11CRCh. 4.CR - Prob. 12CRCh. 4.CR - Section 4.3 When are directed graphs rather than...Ch. 4.CR - Section 4.3 A student action committee has been...Ch. 4.CR - Section 4.4 Use the following PERT diagram to...Ch. 4.CR - Section 4.4 Congratulations You are planning your...Ch. 4.CT - Use the preceding graph to answer the following...Ch. 4.CT - Which of the following graphs can be traced? If a...Ch. 4.CT - Use Fleurys algorithm to find an Euler circuit in...Ch. 4.CT - Find all Hamilton circuits that begin at vertex A...Ch. 4.CT - Model the following street map with a graph and...Ch. 4.CT - Prob. 6CTCh. 4.CT - Use the following weighted graph to answer...Ch. 4.CT - Use the following weighted graph to answer...Ch. 4.CT - Use the following weighted graph to answer...Ch. 4.CT - Use the given directed graph to find the following...Ch. 4.CT - Use the given PERT diagram to answer the following...Ch. 4.CT - The following graph models one- and two-stage...
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 2015, the Phoenix/Zweig Advisors Zweig Total Return fund (ZTR) was expected to yield 5% and the Madison Asset Management Madison Strategic Sector Premium fund (MSP) was expected to yield 7%. You would like to invest a total of up to $60,000 and earn at least $3,500 in interest. Draw the feasible region that shows how much money you can invest in each fund (based on the given yields). Find the corner points of the region. Make sure you use a test point in your work. Shade the region(s) that is NOT the solution and label the region SOLUTION SET.arrow_forwardDiscrete Maths Oscar Levin 3rd eddition 4.3.13: Prove that any planar graph must have a vertex of degree 5 or less. ps: I'd be so glad if you include every detail of the solution. & Thank you soooo much. You are doing a great job ?arrow_forwardA farmer wants to start raising cows, horses, goats, and sheep and desires to have a rectangular pasture for the animals to graze in. However, no two different kinds of animals can graze together. In order to minimize the amount of fencing she will need, she has decided to enclose a large rectangular area and then divide it into four equally sized pens by adding three segments of fence inside the large rectangle that are parallel to two existing sides (see attached image). She has decided to purchase 7500 ft of fencing. What is the maximum possible area that each of the four pens will enclose? Make sure to include units in your answer.arrow_forward
- Resource Allocation Podunk Institute of Technology's Math Department offers two courses: Finite Math and Applied Calculus. Each section of Finite Math has 40 students, and each section of Applied Calculus has 30. The department is allowed to offer a total of up to 70 sections. Furthermore, no more than 2,400 students want to take a math course. (No student will take more than one math course.) Draw the feasible region that shows the number of sections of each class that can be offered. (Place finite math on the x-axis and applied calculus on the y-axis.) The x y-coordinate plane is given. There are 2 lines and a region labeled "solution set" on the graph. The first line enters the window at y = 80 on the positive y-axis, goes down and right, passes through the point (30, 40) crossing the second line, crosses the x-axis at x = 60, and exits the window in the fourth quadrant. The second line enters the window at y = 70 on the positive y-axis, goes down and right, passes through the…arrow_forwardResource Allocation Podunk Institute of Technology's Math Department offers two courses: Finite Math and Applied Calculus. Each section of Finite Math has 60 students, and each section of Applied Calculus has 40. The department is allowed to offer a total of up to 100 sections. Furthermore, no more than 4,800 students want to take a math course. (No student will take more than one math course.) Draw the feasible region that shows the number of sections of each class that can be offered. (Place finite math on the x-axis and applied calculus on the y-axis.) Find the corner points of the region. (Order your answers from smallest to largest x, then from smallest to largest y. If an answer does not exist, enter DNE.)arrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
- Algebra for College StudentsAlgebraISBN:9781285195780Author:Jerome E. Kaufmann, Karen L. SchwittersPublisher:Cengage Learning
Algebra for College Students
Algebra
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
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