MATH IN OUR WORLD
4th Edition
ISBN: 9781266427183
Author: sobecki
Publisher: MCG
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 13.3, Problem 29E
For Exercises 25–28, find the number of Hamilton circuits if a complete graph has the indicated number of vertices, and discuss the practicality of using the brute force method to find an optimal circuit.
27. 9
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
5. Use an example to explain why Va3yP(x, y) and 3yVxP(x, y) are NOT equivalent.
What is the minimum number of links L of an undirected network of N nodes which is connected?
Select one:
a. 0
b. N + 1
C.
N
d. None of the above.
What is the minimum number of links I of an undirected network of N nodes which is connected?
Select one:
O a. 0
O b. N + 1
О с. N
O d. None of the above.
Chapter 13 Solutions
MATH IN OUR WORLD
Ch. 13.1 - Prob. 1TTOCh. 13.1 - The floor plan shown in Figure 14-7 is for a...Ch. 13.1 - Prob. 3TTOCh. 13.1 - Draw a graph for my neighborhood, shown in Figure...Ch. 13.1 - Prob. 5TTOCh. 13.1 - Prob. 6TTOCh. 13.1 - Prob. 7TTOCh. 13.1 - Prob. 8TTOCh. 13.1 - Prob. 1ECh. 13.1 - What is the difference between a loop and a...
Ch. 13.1 - What is the difference between a circuit and a...Ch. 13.1 - Draw two graphs that look physically different but...Ch. 13.1 - Prob. 5ECh. 13.1 - Prob. 8ECh. 13.1 - Prob. 9ECh. 13.1 - Prob. 10ECh. 13.1 - Prob. 11ECh. 13.1 - How does graph coloring apply to maps?Ch. 13.1 - Use the following graph to answer Exercises 1324....Ch. 13.1 - Use the following graph to answer Exercises 1324....Ch. 13.1 - Use the following graph to answer Exercises 1324....Ch. 13.1 - Use the following graph to answer Exercises 1324....Ch. 13.1 - Use the following graph to answer Exercises 1324....Ch. 13.1 - Prob. 18ECh. 13.1 - Use the following graph to answer Exercises 1324....Ch. 13.1 - Prob. 20ECh. 13.1 - Use the following graph to answer Exercises 1324....Ch. 13.1 - Use the following graph to answer Exercises 1324....Ch. 13.1 - Use the following graph to answer Exercises 1324....Ch. 13.1 - Use the following graph to answer Exercises 1324....Ch. 13.1 - Prob. 25ECh. 13.1 - Prob. 26ECh. 13.1 - Prob. 27ECh. 13.1 - Prob. 28ECh. 13.1 - Prob. 29ECh. 13.1 - Prob. 30ECh. 13.1 - For Exercises 3134, represent each figure using a...Ch. 13.1 - Prob. 32ECh. 13.1 - Prob. 33ECh. 13.1 - Prob. 34ECh. 13.1 - Prob. 35ECh. 13.1 - Prob. 36ECh. 13.1 - For Exercises 3538, draw a graph to represent each...Ch. 13.1 - Prob. 38ECh. 13.1 - Prob. 39ECh. 13.1 - For Exercises 3942, draw a graph that represents...Ch. 13.1 - Prob. 41ECh. 13.1 - Prob. 42ECh. 13.1 - In Exercises 4350, use graph coloring to find the...Ch. 13.1 - Prob. 44ECh. 13.1 - Prob. 45ECh. 13.1 - Prob. 46ECh. 13.1 - In Exercises 4350, use graph coloring to find the...Ch. 13.1 - Prob. 48ECh. 13.1 - Prob. 49ECh. 13.1 - Prob. 50ECh. 13.1 - Prob. 51ECh. 13.1 - Prob. 52ECh. 13.1 - Prob. 53ECh. 13.1 - Prob. 54ECh. 13.1 - Prob. 55ECh. 13.1 - Draw a graph that represents the street map in...Ch. 13.1 - Prob. 57ECh. 13.1 - Prob. 58ECh. 13.1 - Prob. 59ECh. 13.1 - Prob. 61ECh. 13.1 - Prob. 62ECh. 13.1 - Prob. 63ECh. 13.1 - (a)When a graph represents a map as in Exercise...Ch. 13.2 - Classify the paths shown in the graphs as Euler...Ch. 13.2 - Use Euler's theorem to determine if the graphs...Ch. 13.2 - Prob. 3TTOCh. 13.2 - Prob. 4TTOCh. 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 - For Exercises 710, decide whether each connected...Ch. 13.2 - Prob. 10ECh. 13.2 - For Exercises 710, decide whether each connected...Ch. 13.2 - Prob. 12ECh. 13.2 - For Exercises 1120, (a)State whether the graph has...Ch. 13.2 - Prob. 14ECh. 13.2 - For Exercises 1120, (a)State whether the graph has...Ch. 13.2 - Prob. 16ECh. 13.2 - For Exercises 1120, (a)State whether the graph has...Ch. 13.2 - Prob. 18ECh. 13.2 - For Exercises 1120, (a)State whether the graph has...Ch. 13.2 - Prob. 20ECh. 13.2 - For Exercises 1120, (a)State whether the graph has...Ch. 13.2 - For Exercises 1120, (a)State whether the graph has...Ch. 13.2 - Prob. 23ECh. 13.2 - Prob. 24ECh. 13.2 - Prob. 25ECh. 13.2 - Prob. 26ECh. 13.2 - Prob. 27ECh. 13.2 - For Exercises 2126, draw a graph for the figures...Ch. 13.2 - Prob. 29ECh. 13.2 - Prob. 30ECh. 13.2 - Prob. 31ECh. 13.2 - Prob. 32ECh. 13.2 - Prob. 33ECh. 13.2 - Prob. 34ECh. 13.2 - For Exercises 33 and 34, determine if an Euler...Ch. 13.2 - For Exercises 33 and 34, determine if an Euler...Ch. 13.2 - Prob. 37ECh. 13.2 - Prob. 39ECh. 13.2 - Prob. 40ECh. 13.2 - Draw some sample graphs and use them to discuss...Ch. 13.2 - Prob. 42ECh. 13.2 - Prob. 43ECh. 13.2 - Prob. 44ECh. 13.2 - Prob. 45ECh. 13.2 - Explain why the word connected is crucial...Ch. 13.2 - Prob. 47ECh. 13.2 - Prob. 48ECh. 13.3 - Prob. 1TTOCh. 13.3 - Prob. 2TTOCh. 13.3 - Prob. 3TTOCh. 13.3 - The driving times in minutes between four cities...Ch. 13.3 - Prob. 5TTOCh. 13.3 - Prob. 6TTOCh. 13.3 - Prob. 7TTOCh. 13.3 - What is the difference between a Hamilton path and...Ch. 13.3 - Prob. 2ECh. 13.3 - Give an example of a problem in our world that can...Ch. 13.3 - Prob. 4ECh. 13.3 - Prob. 5ECh. 13.3 - Prob. 6ECh. 13.3 - Describe what a typical traveling salesperson...Ch. 13.3 - Prob. 8ECh. 13.3 - Prob. 9ECh. 13.3 - Prob. 10ECh. 13.3 - Prob. 11ECh. 13.3 - Prob. 12ECh. 13.3 - For Exercises 1118, find two different Hamilton...Ch. 13.3 - Prob. 14ECh. 13.3 - Prob. 15ECh. 13.3 - Prob. 16ECh. 13.3 - For Exercises 1118, find two different Hamilton...Ch. 13.3 - Prob. 18ECh. 13.3 - Prob. 19ECh. 13.3 - Prob. 20ECh. 13.3 - For Exercises 1118, find two different Hamilton...Ch. 13.3 - Prob. 22ECh. 13.3 - Prob. 23ECh. 13.3 - Prob. 24ECh. 13.3 - For Exercises 1924, find two different Hamilton...Ch. 13.3 - Prob. 26ECh. 13.3 - Prob. 27ECh. 13.3 - Prob. 28ECh. 13.3 - For Exercises 2528, find the number of Hamilton...Ch. 13.3 - Prob. 30ECh. 13.3 - Prob. 31ECh. 13.3 - For Exercises 29 and 30, use the brute force...Ch. 13.3 - For Exercises 3134, use the nearest neighbor...Ch. 13.3 - Prob. 34ECh. 13.3 - Prob. 35ECh. 13.3 - Prob. 36ECh. 13.3 - Prob. 37ECh. 13.3 - Prob. 38ECh. 13.3 - Prob. 39ECh. 13.3 - Prob. 40ECh. 13.3 - Prob. 41ECh. 13.3 - For Exercises 3942, use the information in the...Ch. 13.3 - Prob. 43ECh. 13.3 - Prob. 44ECh. 13.3 - Prob. 45ECh. 13.3 - For Exercises 4346, use the information in the...Ch. 13.3 - For Exercises 4346, use the information in the...Ch. 13.3 - For Exercises 45–48, use the information in the...Ch. 13.3 - Prob. 49ECh. 13.3 - A pizza delivery person has five prearranged...Ch. 13.3 - Prob. 51ECh. 13.3 - Prob. 52ECh. 13.3 - Prob. 53ECh. 13.3 - Prob. 54ECh. 13.3 - When planning routes, distance isnt always the key...Ch. 13.3 - Prob. 56ECh. 13.3 - Repeat questions 51 through 54, choosing four...Ch. 13.3 - Prob. 58ECh. 13.3 - Prob. 59ECh. 13.3 - Prob. 60ECh. 13.3 - Find a road atlas that has a mileage chart. Pick...Ch. 13.3 - Prob. 62ECh. 13.3 - Prob. 63ECh. 13.3 - Prob. 64ECh. 13.3 - Prob. 65ECh. 13.3 - Prob. 66ECh. 13.3 - Prob. 67ECh. 13.3 - Prob. 68ECh. 13.3 - Prob. 69ECh. 13.3 - Prob. 70ECh. 13.3 - Prob. 71ECh. 13.3 - Prob. 72ECh. 13.3 - Prob. 73ECh. 13.3 - Prob. 74ECh. 13.4 - Prob. 1TTOCh. 13.4 - Prob. 2TTOCh. 13.4 - Prob. 3TTOCh. 13.4 - Prob. 4TTOCh. 13.4 - Prob. 5TTOCh. 13.4 - Prob. 1ECh. 13.4 - Prob. 2ECh. 13.4 - Prob. 3ECh. 13.4 - Prob. 4ECh. 13.4 - Prob. 5ECh. 13.4 - Prob. 6ECh. 13.4 - For Exercise 716, decide whether or not each graph...Ch. 13.4 - Prob. 8ECh. 13.4 - Prob. 9ECh. 13.4 - Prob. 10ECh. 13.4 - Prob. 11ECh. 13.4 - Prob. 12ECh. 13.4 - Prob. 13ECh. 13.4 - Prob. 14ECh. 13.4 - Prob. 15ECh. 13.4 - Prob. 16ECh. 13.4 - Prob. 17ECh. 13.4 - Prob. 18ECh. 13.4 - Prob. 19ECh. 13.4 - Prob. 20ECh. 13.4 - Prob. 21ECh. 13.4 - Prob. 22ECh. 13.4 - Prob. 23ECh. 13.4 - Prob. 24ECh. 13.4 - Prob. 25ECh. 13.4 - Prob. 26ECh. 13.4 - Prob. 27ECh. 13.4 - Prob. 28ECh. 13.4 - Prob. 29ECh. 13.4 - Prob. 30ECh. 13.4 - Prob. 31ECh. 13.4 - Prob. 32ECh. 13.4 - Prob. 33ECh. 13.4 - As a new suburban neighborhood is being built, the...Ch. 13.4 - Prob. 35ECh. 13.4 - Prob. 36ECh. 13.4 - Prob. 37ECh. 13.4 - Prob. 38ECh. 13.4 - Prob. 39ECh. 13.4 - In the last two sections, we used both Hamilton...Ch. 13.4 - Prob. 41ECh. 13.4 - Prob. 42ECh. 13.4 - Prob. 43ECh. 13.4 - Prob. 44ECh. 13 - Use the graph shown in Figure 14-62 for Exercise...Ch. 13 - Prob. 2RECh. 13 - Prob. 3RECh. 13 - Prob. 4RECh. 13 - Prob. 5RECh. 13 - Prob. 6RECh. 13 - Use the graph shown in Figure 14-62 for Exercises...Ch. 13 - Prob. 8RECh. 13 - Prob. 9RECh. 13 - Prob. 10RECh. 13 - Prob. 11RECh. 13 - Prob. 12RECh. 13 - Prob. 13RECh. 13 - Repeat Exercise 13 for the graphs from Exercises...Ch. 13 - Prob. 15RECh. 13 - Prob. 16RECh. 13 - Prob. 17RECh. 13 - Prob. 18RECh. 13 - Prob. 19RECh. 13 - Prob. 20RECh. 13 - Prob. 21RECh. 13 - Prob. 22RECh. 13 - Prob. 23RECh. 13 - Prob. 24RECh. 13 - Prob. 25RECh. 13 - Prob. 26RECh. 13 - Prob. 27RECh. 13 - Prob. 28RECh. 13 - Prob. 29RECh. 13 - Prob. 30RECh. 13 - Prob. 31RECh. 13 - Prob. 32RECh. 13 - Prob. 33RECh. 13 - Prob. 34RECh. 13 - For the following graph: (a)What is the degree of...Ch. 13 - Draw a graph with two bridges, and the...Ch. 13 - Prob. 3CTCh. 13 - Prob. 4CTCh. 13 - (a)For the graph shown in Figure 14-73, find an...Ch. 13 - Prob. 6CTCh. 13 - For the housing plan shown in Figure 14-75, draw a...Ch. 13 - Prob. 8CTCh. 13 - Use the brute force method to find the shortest...Ch. 13 - Use the nearest neighbor method and cheapest link...Ch. 13 - Prob. 11CTCh. 13 - Decide whether the problem can be solved using...
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
- (4) Assume that a website www.funwithmath1600.ag has three pages: Page A: KingAlgebra Page B: Learn1600andWin • Page C: Linear AlgbraIsEverywhere Each page has some links to the other pages of this website and no pages links to any page outside this website. Page A has three links to page B and only one link to page C. • Page B has three links to page A and two links to page C. • Page C has one link to page A and two links to page B. A student decides to explore this website starting from page A. Since reading content is always a boring task (is it?!) they decide to choose one of the links in page A with equal probability and click on the link to see the next page. As a result, on the next step, they will end up on page B with probability 3/4 and on the page C with probability 1/4. This process is then continued by the student with the same rule: Go the next page by clicking, with equal probability, on one of the existing links that are on the present page. (Use only fractions in your…arrow_forwardA new pizza restaurant is moving into town. The owner is considering a number of potential sites and would like to minimize the initial investment involved with purchasing locations. However, the owner is very concerned about delivery time and wants to make sure that every neighborhood in the city can have a pizza delivered in 15 minutes or less. The owner has divided the city into 10 neighborhoods (A–J) and is currently considering a total of 8 different locations. To help with the decision, the owner formulated the following linear programming model:Min 100x1 + 120x2 + 90x3 + 135x4 +75x5 + 85x6 + 110x7 + 135x8s.t. x1 + x2 + x5 + x7 ≥ 1 {Neighborhood A constraint}x1 + x2 + x3 ≥ 1 {Neighborhood B constraint}x5 + x6 + x8 ≥ 1 {Neighborhood C constraint}x1 + x4 + x7 ≥ 1 {Neighborhood D constraint}x2 + x3 + x7 ≥ 1 {Neighborhood E constraint}x3 + x4 + x8 ≥ 1 {Neighborhood F constraint}x2 + x5 + x7 ≥ 1 {Neighborhood G constraint}x1 + x4 + x6 ≥ 1 {Neighborhood H constraint}x1 + x6 + x8 ≥ 1…arrow_forwardA new pizza restaurant is moving into town. The owner is considering a number of potential sites and would like to minimize the initial investment involved with purchasing locations. However, the owner is very concerned about delivery time and wants to make sure that every neighborhood in the city can have a pizza delivered in 15 minutes or less. The owner has divided the city into 10 neighborhoods (A–J) and is currently considering a total of 8 different locations. To help with the decision, the owner formulated the following linear programming model: Min 100x1 + 120x2 + 90x3 + 135x4 +75x5 + 85x6 + 110x7 + 135x8 s.t.x1 + x2 + x5 + x7 ≥ 1 {Neighborhood A constraint} x1 + x2 + x3 ≥ 1 {Neighborhood B constraint} x5 + x6 + x8 ≥ 1 {Neighborhood C constraint} x1 + x4 + x7 ≥ 1 {Neighborhood D constraint} x2 + x3 + x7 ≥ 1 {Neighborhood E constraint} x3 + x4 + x8 ≥ 1 {Neighborhood F constraint} x2 + x5 + x7 ≥ 1 {Neighborhood G constraint} x1 + x4 + x6 ≥ 1 {Neighborhood H constraint} x1 + x6…arrow_forward
- ← Module 4.4: Hamilton Pat... ofbd4cdeb42d/assignment/385f0812-595e-40fc-b664-374bddd2d6c6 Question How many unique Hamiltonian Circuits are in the graph below? | CURRENT OBJECTIVE Determine the number of Hamilton circuits in a graph Provide your answer below: ม 31 O B Module 4.4: Hamilton Pa Darrow_forwardThis problem comes from the green activity pack, page AP – 54. You may find the prompts in the activity helpful in answering the question. In Fall 2019, significant changes to MJC math courses were made, including the introduction of courses with corequisites, like Math 134/34. In the 2017-2018 school year, 1693 students took their first math class, and 181 students completed a 100-level class in 1 year or less. In the 2019 – 2020 school year, 1679 students took their first math class, and 574 completed a 100-level class in 1 year or less. “Through-put” is defined as the ratio of students who complete a 100-level class in 1 year or less, out of all students who begin their first math class that year. Have the changes at MJC improved the through-put rate? Perform a hypothesis test to answer the question, “Have the changes at MJC improved the through-put rate?” Include all parts of the 4-step process. You may use technology for calculations, but…arrow_forwardAccounting for the limited street parking in Philadelphia, the university has created a map ofthe n ≥ 2 possible locations to park scooters near campus, as well as the bidirectional pathsthat connect these parking spots. The map includes Houston Hall and Franklin Field as specialparking locations that are designated for scooter pick-up.To enforce organization and decrease the risk of scooter-related injuries, the university wantsto assign a one-way direction to each scooter path on the map (which means choosing anorientation; refer to the last paragraph) such that: all paths connected to Houston Hall leadaway from Houston Hall, all paths connected to Franklin Field lead to Franklin Field, and forany other parking spot, it is impossible to return to that same spot once you’ve left it. As anMath student, you have been tasked to prove it is possible to satisfy these conditions. Note that the parking spots can be visualized as vertices and the scooter paths as edges in graphG. An…arrow_forward
- 23. Consider the grid of points shown at the top of the next column. Suppose that, starting at the point labeled A, you can go one step up or one step to the right at each move. This procedure is continued until the point labeled B is reached. How many different paths from A to B are possible? Hint: Note that to reach B from A, you must take 4 steps to the right and 3 steps upward. B Aarrow_forwardI need the answer as soon as possiblearrow_forwardTo help with preparations, a couple has devised a project network to describe the activities that must be completed by their wedding date. In addition, they have estimated the time of each activity (in weeks). Start A B с D E Activity ABCDEFGH Time 5 36 6 6 3 11 9 F (e) What is the schedule for activity E (in weeks)? week(s) Earliest Start Latest Start week(s) Earliest Finish week(s) Latest Finish week(s) G (a) Identify the critical path. (Enter your answers as a comma-separated list.) (b) How much time (in weeks) will be needed to complete this project? week(s) H Finish D (c) Can activity D be delayed without delaying the entire project? If so, by how many weeks? (If the activity can not be delayed, enter 0.) week(s) (d) Can activity C be delayed without delaying the entire project? If so, by how many weeks? (If the activity can not be delayed, enter 0.) week(s)arrow_forward
- 4. Solve the travelling problem for the given graph by finding the total weight of all Hamilton circuits and determining a circuit with minimum total weight. 16 14 10 B 17arrow_forwardExercise 10.3.4: Selecting coders for 3 different projects. i About (a) A manager must select three coders from her group to write three different software projects. There are 7 junior and 3 senior coders in her group. The first project can be written by any of the coders. The second project must be written by a senior person and the third project must be written by a junior person. How many ways are there for her to assign the three coders to the projects if no person can be assigned to more than one project?arrow_forward7. You blindfold your friend. You give him a bowl that contains 10 silver marbles and 6 black marbles. What is the minimum mumber of balls your friend needs to pick to be sure that they pick out all 6 black marbles? (The marbles are selected without replacement - once a marble is chosen it is not put back into the bowl).arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Linear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
Mathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,
Linear Algebra: A Modern Introduction
Algebra
ISBN:9781285463247
Author:David Poole
Publisher:Cengage Learning
Mathematics For Machine Technology
Advanced Math
ISBN:9781337798310
Author:Peterson, John.
Publisher:Cengage Learning,
Minimum cuts and maximum flow rate; Author: Juddy Productions;https://www.youtube.com/watch?v=ylxhl1ipWss;License: Standard YouTube License, CC-BY