Connect Math hosted by ALEKS Access Card 52 Weeks for Math in Our World
3rd Edition
ISBN: 9781259232848
Author: David Sobecki, Allan Bluman
Publisher: McGraw-Hill Education
expand_more
expand_more
format_list_bulleted
Videos
Question
Chapter 14.2, Problem 30E
To determine
Whether the graph has an Euler path, an Euler circuit or neither; find the Euler path or Euler circuit if it exists.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Does the graph of the bridges to the parts of the city create an Euler circuit, an Euler path, or neither. Explain how you know.
If the tour guide wants to end where he started so people can get back in their cars, then how many bridges will he have to reuse? Explain. Hint: Make it an Euler Circuit.
Give the tour guide a sample plan where the group can see every bridge and end where they started.
If the tour guide wants to just see every bridge and he ends in a different place than where the tour began, then how many bridges will he have to reuse? Explain. Hint: Make it an Euler Path
5. Give the tour guide a sample plan where the group can see every bridge and he ends in a different place than where the tour began.
Caroline has to check the stop signs at everyintersection in his hometown. She parks hercar in the parking lot of the transportationdepartment and needs to end up back at hercar. She only wants to check eachintersection one time. Which graph would bebest for this scenario? *A.Hamiltonian cycleB. Euler pathC. Euler tourD. Hamiltonian path
Refer to the graph attached, and answer the following
1. Is the graph connected?2. List all the neighbors of the vertex G.3. Is G – D – B – H a path?
Choices:
1.Yes2. No3. 84. 145. Vertex H6. 67. H, D, E, F8. 39. 410. D, E, F11. Vertex G12. 913. 13
Chapter 14 Solutions
Connect Math hosted by ALEKS Access Card 52 Weeks for Math in Our World
Ch. 14.1 - Draw a graph to represent ferry service between...Ch. 14.1 - The floor plan shown in Figure 14-7 is for a...Ch. 14.1 - Prob. 3TTOCh. 14.1 - Draw a graph for my neighborhood, shown in Figure...Ch. 14.1 - Prob. 5TTOCh. 14.1 - Prob. 6TTOCh. 14.1 - Prob. 7TTOCh. 14.1 - Prob. 8TTOCh. 14.1 - Prob. 1ECh. 14.1 - What is the difference between a loop and a...
Ch. 14.1 - What is the difference between a circuit and a...Ch. 14.1 - Draw two graphs that look physically different but...Ch. 14.1 - Prob. 5ECh. 14.1 - Prob. 8ECh. 14.1 - Prob. 9ECh. 14.1 - Prob. 10ECh. 14.1 - Prob. 11ECh. 14.1 - How does graph coloring apply to maps?Ch. 14.1 - Use the following graph to answer Exercises 1324....Ch. 14.1 - Use the following graph to answer Exercises 1324....Ch. 14.1 - Use the following graph to answer Exercises 1324....Ch. 14.1 - Use the following graph to answer Exercises 1324....Ch. 14.1 - Use the following graph to answer Exercises 1324....Ch. 14.1 - Prob. 18ECh. 14.1 - Use the following graph to answer Exercises 1324....Ch. 14.1 - Prob. 20ECh. 14.1 - Use the following graph to answer Exercises 1324....Ch. 14.1 - Use the following graph to answer Exercises 1324....Ch. 14.1 - Use the following graph to answer Exercises 1324....Ch. 14.1 - Use the following graph to answer Exercises 1324....Ch. 14.1 - Prob. 25ECh. 14.1 - Prob. 26ECh. 14.1 - Prob. 27ECh. 14.1 - Prob. 28ECh. 14.1 - Prob. 29ECh. 14.1 - Prob. 30ECh. 14.1 - For Exercises 3134, represent each figure using a...Ch. 14.1 - Prob. 32ECh. 14.1 - Prob. 33ECh. 14.1 - Prob. 34ECh. 14.1 - Prob. 35ECh. 14.1 - Prob. 36ECh. 14.1 - For Exercises 3538, draw a graph to represent each...Ch. 14.1 - Prob. 38ECh. 14.1 - Prob. 39ECh. 14.1 - For Exercises 3942, draw a graph that represents...Ch. 14.1 - Prob. 41ECh. 14.1 - Prob. 42ECh. 14.1 - In Exercises 4350, use graph coloring to find the...Ch. 14.1 - Prob. 44ECh. 14.1 - Prob. 45ECh. 14.1 - Prob. 46ECh. 14.1 - In Exercises 4350, use graph coloring to find the...Ch. 14.1 - Prob. 48ECh. 14.1 - Prob. 49ECh. 14.1 - Prob. 50ECh. 14.1 - Prob. 51ECh. 14.1 - Prob. 52ECh. 14.1 - Prob. 53ECh. 14.1 - Prob. 54ECh. 14.1 - Prob. 55ECh. 14.1 - Draw a graph that represents the street map in...Ch. 14.1 - Prob. 57ECh. 14.1 - Prob. 58ECh. 14.1 - Prob. 59ECh. 14.1 - Prob. 61ECh. 14.1 - Prob. 62ECh. 14.1 - Prob. 63ECh. 14.1 - (a)When a graph represents a map as in Exercise...Ch. 14.2 - Use Eulers theorem to determine if the graphs...Ch. 14.2 - Prob. 2TTOCh. 14.2 - Prob. 3TTOCh. 14.2 - Prob. 1ECh. 14.2 - Prob. 2ECh. 14.2 - Prob. 3ECh. 14.2 - Prob. 4ECh. 14.2 - Prob. 5ECh. 14.2 - Prob. 6ECh. 14.2 - For Exercises 710, decide whether each connected...Ch. 14.2 - Prob. 8ECh. 14.2 - For Exercises 710, decide whether each connected...Ch. 14.2 - Prob. 10ECh. 14.2 - For Exercises 1120, (a)State whether the graph has...Ch. 14.2 - Prob. 12ECh. 14.2 - For Exercises 1120, (a)State whether the graph has...Ch. 14.2 - Prob. 14ECh. 14.2 - For Exercises 1120, (a)State whether the graph has...Ch. 14.2 - Prob. 16ECh. 14.2 - For Exercises 1120, (a)State whether the graph has...Ch. 14.2 - Prob. 18ECh. 14.2 - For Exercises 1120, (a)State whether the graph has...Ch. 14.2 - For Exercises 1120, (a)State whether the graph has...Ch. 14.2 - Prob. 21ECh. 14.2 - Prob. 22ECh. 14.2 - Prob. 23ECh. 14.2 - Prob. 24ECh. 14.2 - Prob. 25ECh. 14.2 - For Exercises 2126, draw a graph for the figures...Ch. 14.2 - Prob. 27ECh. 14.2 - Prob. 28ECh. 14.2 - Prob. 29ECh. 14.2 - Prob. 30ECh. 14.2 - Prob. 31ECh. 14.2 - Prob. 32ECh. 14.2 - For Exercises 33 and 34, determine if an Euler...Ch. 14.2 - For Exercises 33 and 34, determine if an Euler...Ch. 14.2 - Prob. 35ECh. 14.2 - Prob. 37ECh. 14.2 - Prob. 38ECh. 14.2 - Draw some sample graphs and use them to discuss...Ch. 14.2 - Prob. 40ECh. 14.2 - Prob. 41ECh. 14.2 - Prob. 42ECh. 14.2 - Explain why the word connected is crucial...Ch. 14.2 - Prob. 44ECh. 14.2 - Prob. 45ECh. 14.2 - Prob. 46ECh. 14.3 - Find a Hamilton path that begins at vertex C for...Ch. 14.3 - Prob. 2TTOCh. 14.3 - Prob. 3TTOCh. 14.3 - The driving times in minutes between four cities...Ch. 14.3 - Prob. 5TTOCh. 14.3 - Prob. 6TTOCh. 14.3 - Prob. 7TTOCh. 14.3 - What is the difference between a Hamilton path and...Ch. 14.3 - Prob. 2ECh. 14.3 - Give an example of a problem in our world that can...Ch. 14.3 - Prob. 4ECh. 14.3 - Prob. 5ECh. 14.3 - Prob. 6ECh. 14.3 - Describe what a typical traveling salesperson...Ch. 14.3 - Prob. 8ECh. 14.3 - Prob. 9ECh. 14.3 - Prob. 10ECh. 14.3 - For Exercises 1118, find two different Hamilton...Ch. 14.3 - Prob. 12ECh. 14.3 - Prob. 13ECh. 14.3 - Prob. 14ECh. 14.3 - For Exercises 1118, find two different Hamilton...Ch. 14.3 - Prob. 16ECh. 14.3 - Prob. 17ECh. 14.3 - Prob. 18ECh. 14.3 - For Exercises 1118, find two different Hamilton...Ch. 14.3 - Prob. 20ECh. 14.3 - Prob. 21ECh. 14.3 - Prob. 22ECh. 14.3 - For Exercises 1924, find two different Hamilton...Ch. 14.3 - Prob. 24ECh. 14.3 - Prob. 25ECh. 14.3 - Prob. 26ECh. 14.3 - For Exercises 2528, find the number of Hamilton...Ch. 14.3 - Prob. 28ECh. 14.3 - Prob. 29ECh. 14.3 - For Exercises 29 and 30, use the brute force...Ch. 14.3 - For Exercises 3134, use the nearest neighbor...Ch. 14.3 - Prob. 32ECh. 14.3 - Prob. 33ECh. 14.3 - Prob. 34ECh. 14.3 - In Exercises 3538, use the cheapest link algorithm...Ch. 14.3 - Prob. 36ECh. 14.3 - Prob. 37ECh. 14.3 - Prob. 38ECh. 14.3 - Prob. 39ECh. 14.3 - For Exercises 3942, use the information in the...Ch. 14.3 - Prob. 41ECh. 14.3 - Prob. 42ECh. 14.3 - Prob. 43ECh. 14.3 - For Exercises 4346, use the information in the...Ch. 14.3 - For Exercises 4346, use the information in the...Ch. 14.3 - Prob. 46ECh. 14.3 - Prob. 47ECh. 14.3 - A pizza delivery person has five prearranged...Ch. 14.3 - Prob. 49ECh. 14.3 - Prob. 50ECh. 14.3 - Prob. 51ECh. 14.3 - Prob. 52ECh. 14.3 - When planning routes, distance isnt always the key...Ch. 14.3 - Prob. 54ECh. 14.3 - Repeat questions 51 through 54, choosing four...Ch. 14.3 - Prob. 56ECh. 14.3 - Prob. 57ECh. 14.3 - Prob. 58ECh. 14.3 - Find a road atlas that has a mileage chart. Pick...Ch. 14.3 - Prob. 60ECh. 14.3 - Prob. 61ECh. 14.3 - Prob. 62ECh. 14.3 - Prob. 63ECh. 14.3 - Prob. 64ECh. 14.3 - Prob. 65ECh. 14.3 - Prob. 66ECh. 14.4 - Prob. 1TTOCh. 14.4 - Prob. 2TTOCh. 14.4 - Prob. 3TTOCh. 14.4 - Prob. 4TTOCh. 14.4 - Prob. 5TTOCh. 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 - For Exercise 716, decide whether or not each graph...Ch. 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 - As a new suburban neighborhood is being built, the...Ch. 14.4 - Prob. 35ECh. 14.4 - Prob. 36ECh. 14.4 - Prob. 37ECh. 14.4 - Prob. 38ECh. 14.4 - Prob. 39ECh. 14.4 - In the last two sections, we used both Hamilton...Ch. 14.4 - Prob. 41ECh. 14.4 - Prob. 42ECh. 14 - Use the graph shown in Figure 14-62 for Exercise...Ch. 14 - Prob. 2RECh. 14 - Prob. 3RECh. 14 - Prob. 4RECh. 14 - Prob. 5RECh. 14 - Prob. 6RECh. 14 - Use the graph shown in Figure 14-62 for Exercises...Ch. 14 - Prob. 8RECh. 14 - Prob. 9RECh. 14 - Prob. 10RECh. 14 - Prob. 11RECh. 14 - Prob. 12RECh. 14 - Prob. 13RECh. 14 - Repeat Exercise 13 for the graphs from Exercises...Ch. 14 - Prob. 15RECh. 14 - Prob. 16RECh. 14 - Prob. 17RECh. 14 - Prob. 18RECh. 14 - Prob. 19RECh. 14 - Prob. 20RECh. 14 - Prob. 21RECh. 14 - Prob. 22RECh. 14 - Prob. 23RECh. 14 - Prob. 24RECh. 14 - Prob. 25RECh. 14 - Prob. 26RECh. 14 - Prob. 27RECh. 14 - Prob. 28RECh. 14 - Prob. 29RECh. 14 - Prob. 30RECh. 14 - Prob. 31RECh. 14 - Prob. 32RECh. 14 - Prob. 33RECh. 14 - Prob. 34RECh. 14 - For the following graph: (a)What is the degree of...Ch. 14 - Draw a graph with two bridges, and the...Ch. 14 - Prob. 3CTCh. 14 - Prob. 4CTCh. 14 - (a)For the graph shown in Figure 14-73, find an...Ch. 14 - Prob. 6CTCh. 14 - For the housing plan shown in Figure 14-75, draw a...Ch. 14 - Prob. 8CTCh. 14 - Use the brute force method to find the shortest...Ch. 14 - Use the nearest neighbor method and cheapest link...Ch. 14 - Prob. 11CTCh. 14 - 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
- Given the graph as below. Determine whether it is Eulerian circuit, semi-Eulerian or neither. State the path if Eulerian exists. a b C darrow_forward10. Which of the following paths is a bipartite graph? A. P307 B. P105 C. Pist D. P1000arrow_forwardRefer to the graph attached, and answer the following 1. What is the length of the path2. A – B – D – G?3. How many edges are there? Choices: 1.Yes2. No3. 84. 145. Vertex H6. 67. H, D, E, F8. 39. 410. D, E, F11. Vertex G12. 913. 13arrow_forward
- Refer to the graph attached, and answer the following 1. How many vertices are there?2. How many vertices with even degree?3. Which vertex has the highest degree? Choices: 1.Yes2. No3. 84. 145. Vertex H6. 67. H, D, E, F8. 39. 410. D, E, F11. Vertex G12. 913. 13arrow_forward. In question # 52, Name three bridges in the given graph.arrow_forwardUse the graph to determine whether the path described is an Euler path, an Euler circuit, or neither. Explain your answer. D, C.E, B. A. С. В. F.E D. Choose the correct answer below. O A. The path described is an Euler path because every vertex is traveled exactly once. O B. The path described is neither an Euler path nor an Euler circuit because not every edge is traveled once. O C. The path described is an Euler circuit because it is an Euler path that begins and ends at the different vertices. O D. The path described is neither an Euler path nor an Euler circuit because at least one edge is traveled more than once. O E. The path described is an Euler path becanse every edge is traveled exactly once O F. The path described is an Euler circuit because it is an Euler path that begins and ends at the same vertex.arrow_forward
- For the graph below, which choice best describes the path BCDEFGAB B A D G E F a. Hamiltonian Cycle O b. Eulerian Circuit O C. A closed trail but not a cycle. O d. A Path, but not a circuitarrow_forwarddod Euler Pa. Name: Rhea Payne cuits Worksheet 1. In the graph below, the vertices represent cities. Edges indicate a direct bus route between cities. D H 3. How many vertices does the graph have? b. How many edges does the graph have? 8 9 E G b. C. What is the degree of A? 2 b d. What is the degree of E? Find a path from A to F that would take 3 bus routes. A-D D-E E-F A student claims to have found an Euler circuit on each graph below as indicated with arrows. Name 1 reason why the indicated path is not an Euler circuit. 3 5 Name 2 reasons why the indicated path is not an Euler circuit. 5 edges more than once visits edges 8 2 Euter Livarrow_forwardSolve the problem. The following graph Select one: a. B ← E e. F none of these b. has no Hamilton circuit. C. has several Hamilton circuits, none of which contain the edge BE. d. has several Hamilton circuits, all of which contain the edge CE. has a single Hamilton circuit (and its mirror-image circuit). -OHarrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
Algebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal Littell
Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning
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
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
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