Excursions In Modern Mathematics, 9th E...9th EditionTannenbaum Publisher: PEARSONISBN: 9780134494142
Excursions In Modern Mathematics, 9th E...
Solutions for Excursions In Modern Mathematics, 9th Edition
Problem 1E:
For the graph shown in Fig 5-29, a.give the vertex set. b.give the edge list. c.give the degree of...Problem 2E:
For the graph shown in Fig. 5-30, a.give the vertex set. b.give the edge list. c.give the degree of...Problem 3E:
For the graph shown in Fig. 5-31, 1.give the vertex set. 2.give the edge list. 3.give the degree of...Problem 4E:
For the graph shown in Fig. 5-32, a.give the vertex set. b.give the edge list. c.give the degree of...Problem 5E:
Consider the graph with vertex set {K,R,S,T,W} and edge list RS, RT, TT, TS, SW, WW, WS. Draw two...Problem 6E:
Consider the graph with vertex set {A,B,C,D,E} and edge list AC, AE, BD, BE, CA, CD, CE, DE. Draw...Problem 7E:
Consider the graph with vertex set {A,B,C,D,E} and edge list AD, AE, BC, BD, DD, DE. Without drawing...Problem 8E:
Consider the graph with vertex set {A,B,C,X,Y,Z} and edge list AX, AY, AZ, BB, CX, CY, CZ, YY....Problem 9E:
a.Give an example of a connected graph with eight vertices such that each vertex has degree 2....Problem 10E:
a.Give an example of a connected graph with eight vertices: six of degree 2 and two of degree 3....Problem 11E:
Consider the graph in Fig. 5-33. a. Find a path from C to F passing through vertex B but not through...Problem 12E:
Consider the graph in Fig. 5-33. a. Find a path from D to E passing through vertex G only once. b....Problem 13E:
Consider the graph in Fig. 5-33. a. Find all circuits of length 1. Hint: Loops are circuits of...Problem 14E:
Consider the graph in Fig 5-34 a.Find all circuits of length 1. Hint: Loops are circuits of length...Problem 15E:
List all the bridges in each of the following graphs: a. the graph in Fig. 5-33. b. the graph with...Problem 16E:
List all the bridges in each of the following graphs: a. the graph in Fig. 5-34 b. the graph with...Problem 17E:
Consider the graph in Fig 5-35. a. List all the bridges in this graph. b. If you remove all the...Problem 18E:
Consider the graph in Fig 5-36. a. List all the bridges in this graph. b. If you remove all the...Problem 19E:
Figure 5-37 shows a map of the downtown area of the picturesque hamlet of Kingsburg, with the Kings...Problem 20E:
Figure 5-38 is a map of downtown Royalton, showing the Royalton River running through the downtown...Problem 21E:
A night watchman must walk the streets of the Green Hills subdivision shown in Fig. 5-39. The night...Problem 22E:
A mail carrier must deliver mail on foot along the streets of the Green Hills subdivision shown in...Problem 23E:
Six teams (A,B,C,D,E,andF) are entered in a softball tournament. The top two seeded teams (AandB)...Problem 24E:
The Kangaroo Lodge of Madison Country has 10 members A,B,C,D,E,F,G,H,I and J. The club has five...Problem 25E:
Table 5-3 summarizes the Facebook friendships between a group of eight individuals an F indicates...Problem 26E:
The Dean of students office wants to know how the seven general education courses selected by...Problem 27E:
Figure 5-40 shows the downtown area of the small village of Kenton. The village wants to have a...Problem 29E:
In Exercise 29 through 34 choose from the following answers and provide a short explanation for your...Problem 30E:
In Exercise 29 through 34 choose from the following answers and provide a short explanation for your...Problem 31E:
In Exercise 29 through 34 choose from the following answers and provide a short explanation for your...Problem 32E:
In Exercises 29 through 34 choose from the following answers and provide a short explanation for...Problem 33E:
In Exercise 29 through 34 choose from the following answers and provide a short explanation for your...Problem 34E:
In Exercise 29 through 34 choose from the following answers and provide a short explanation for your...Problem 35E:
Find the Euler circuit for the graph in Fig.5-47. Show the answer by labeling the edges 1, 2, 3, and...Problem 36E:
Find the Euler circuit for the graph in Fig.5.48_. Show your answer by labeling the edges 1, 2, 3,...Problem 37E:
Find the Euler path for the graph in Fig.5-49_. Show your answer by labeling the edges 1, 2, 3, and...Problem 38E:
Find the Euler path for the graph in Fig.5-50. Show your answer by labeling the edges 1, 2, 3, and...Problem 39E:
Find an Euler circuit for the graph in Fig 5-51. Use B as the starting and ending point of the...Problem 40E:
Find the Euler circuit for the graph in Fig 5-52. Use P as the starting and ending vertex of the...Problem 41E:
Suppose you are using Fleurys algorithm to find an Euler circuit for a graph and you are in middle...Problem 42E:
Suppose you are using Fleurys algorithm to find an Euler circuit for a graph and you are in middle...Problem 47E:
Find an optimal semi-eulerization for the graph in Fig. 5-56. You are free to choose the starting...Problem 48E:
Find an optimal semi-eulerization for the graph in Fig. 5-57. You are free to choose the starting...Problem 53E:
A security guard must patrol on foot the streets of the Green Hills subdivision shown in Fig. 5-39....Problem 54E:
A mail carrier must deliver mail on foot along the streets of the Green Hills subdivision shown in...Problem 55E:
This exercise refers to the Fourth of July parade problem introduced in Exercise 27. Find an optimal...Problem 56E:
This exercise refers to the Fourth of July parade problem introduced in Exercise 27. Find an optimal...Problem 57E:
Consider the following puzzle: You must trace Fig 5-58 without retracing any lines. We know this is...Problem 58E:
a.Explain why in every graph the sum of the degrees of all vertices equals twice the number of...Problem 60E:
Regular graphs. A graph is called regular if every vertex has the same degree. Let G be a connected...Problem 61E:
Suppose G is a disconnected graph with exactly two odd vertices. Explain why the two odd vertices...Problem 62E:
Consider the following game. You are given N vertices and are required to build a graph by adding...Problem 63E:
Figure 5-59 shows a map of the downtown area of the picturesque hamlet of Kingsburg. You have been...Problem 64E:
Kissing circuits. When two circuits in a graph have no edges in common but share a common vertex v,...Problem 66E:
Exercises 66 through 68 refer to Example 5.23 . In this example, the problem is to find an optimal...Problem 67E:
Exercises 66 through 68 refer to Example 5.23 . In this example, the problem is to find an optimal...Problem 68E:
Exercises 66 through 68 refer to Example 5.23 . In this example, the problem is to find an optimal...Problem 69E:
This exercise comes to you courtesy of Euler himself. Here is the question in Eulers own words,...Problem 70E:
Running Suppose G is a connected graph with N vertices, all of even degree. Let k denote the number...Problem 71E:
Running Suppose G is a connected graph with N2 even vertices and two odd vertices. Let k denote the...Browse All Chapters of This Textbook
Chapter 1 - The Mathematics Of Elections The Paradoxes Of DemocracyChapter 2 - The Mathematics Of Power Weighted VotingChapter 3 - The Mathematics Of Sharing Fair-division GamesChapter 4 - The Mathematics Of Apportionment Making The RoundsChapter 5 - The Mathematics Of Getting Around Euler Paths And CircuitsChapter 6 - The Mathematics Of Touring Traveling Salesman ProblemsChapter 7 - The Mathematics Of Networks The Cost Of Being ConnectedChapter 8 - The Mathematics Of Scheduling Chasing The Critical PathChapter 9 - Population Growth Models There Is Strength In NumbersChapter 10 - Financial Mathematics Money Matters
Chapter 11 - The Mathematics Of Symmetry Beyond ReflectionChapter 12 - Fractal Geometry The Kinky Nature Of NatureChapter 13 - Fibonacci Numbers And The Golden Ratio Tales Of Rabbits And GnomonsChapter 14 - Censuses, Surveys, Polls, And Studies The Joys Of Collecting DataChapter 15 - Graphs, Charts And Numbers The Data Show And TellChapter 16 - Probabilities, Odds, And Expectations Measuring Uncertainty And RiskChapter 17 - The Mathematics Of Normality The Call Of The Bell
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