Solutions for EBK EXCURSIONS IN MODERN MATHEMATICS
Problem 1E:
For the digraph shown in Fig. 8-25, find a.the indegree and outdegree of A. b.the indegree and...Problem 2E:
For the digraph shown in Fig. 8-26, find Figure 8-26 a.the indegree and outdegree of A. b.the...Problem 3E:
For the digraph in Fig. 8-25, find a.all path of length 2 from A to D. b.all path of length 3 from A...Problem 4E:
For the digraph in Fig. 8-26, find a.a path of length 1 from B to E. b.a path of length 2 from B to...Problem 5E:
For the digraph in Fig. 8-25, find a.all cycles of length 2. b.all cycles of length 3. c.all cycles...Problem 6E:
For the digraph in Fig. 8-26, find a.all cycles of length 2. b.all cycles of length 3. c.all cycles...Problem 8E:
For the digraph in Fig.8-26, find a.all vertices that are incident to A. b.all vertices that are...Problem 9E:
a.Draw a digraph with vertex-set V={A,B,C,D} and arc-set A={AB,AC,AD,BD,DB}. b.Draw a digraph with...Problem 10E:
a.Draw a digraph with vertex-set V={A,B,C,D} and arc-set A={AB,AC,AD,BC,BD,DB,DC}. b.Draw a digraph...Problem 12E:
Consider the digraph with vertex-set V={V,W,X,Y,Z} and arc-set A={VW,VZ,WZ,XV,XY,XZ,YW,ZY,ZW}....Problem 16E:
A mathematics textbook consists of 10 chapters. Although many of the chapters are independent of the...Problem 18E:
The digraph in Fig. 8-29 is an example of a tournament digraph. In this example the vertices of the...Problem 20E:
Wobble, a start-up company, is developing a search engine for the Web. Given a particular search...Problem 21E:
A project consists of eight tasks labeled A through H. The processing time P-time and precedence...Problem 22E:
A project consists of eight tasks labeled A through H. The processing time P-time and precedence...Problem 26E:
A ballroom is to be set up for a large wedding reception. Table 8-5 shows the tasks to be carried...Problem 29E:
Exercises 29 through 32 refer to a project consisting of 11 tasks A through K with the following...Problem 30E:
Exercises 29 through 32 refer to a project consisting of 11 tasks A through K with the following...Problem 32E:
Exercises 29 through 32 refer to a project consisting of 11 tasks A through K with the following...Problem 34E:
Exercises33 and 34 refer to the Martian Habitat Unit scheduling project with N=2 processors...Problem 38E:
Using the priority list G,F,E,D,C,B,A, schedule the project described by the project diagraph shown...Problem 40E:
Using the priority list G,F,E,D,C,B,A, schedule the project described by the project digraph shown...Problem 44E:
Use the decreasing-time algorithm to schedule the project described by the project digraph shown in...Problem 46E:
Use the decreasing-time algorithm to schedule the project described by the project digraph shown in...Problem 48E:
Consider the project described by the digraph shown in Fig. 8-37, and assume that you are to...Problem 49E:
Consider the project described by the digraph shown in Fig. 8-38, and assume that you are to...Problem 50E:
Consider the project described by the digraph shown in Fig. 8-39, and assume that you are to...Problem 51E:
Consider the project digraph shown in Fig.8-40. a.Use the backflow algorithm to find the critical...Problem 52E:
Consider the project digraph shown in Fig.8-40. a.Schedule the project with N=3 processors using the...Problem 54E:
Consider the project digraph shown in Fig.8-41. a.Use the backflow algorithm to find the critical...Problem 55E:
Schedule the Apartments Unlimited project given in Exercise25 Table8-4 with N=2 processors using the...Problem 56E:
Schedule the project given in Exercise26 Table8-5 setting up a ballroom for a wedding with N=3...Problem 57E:
Consider the project described by the project digraph shown in Fig.8-42. a. Find the critical path...Problem 58E:
Consider the project digraph shown in Fig.8-43, with the processing time given in hours. a.Find the...Problem 60E:
Symmetric and totally asymmetric digraphs. A digraph is called symmetric if, whenever there is an...Problem 62E:
Let W represent the sum of the processing times of all the tasks, N be the number of processors, and...Problem 63E:
You have N=2 processors to process M independent tasks i.e., there are no precedence relations at...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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For courses in Liberal Arts Mathematics. Math: Applicable, Accessible, Modern Excursions in Modern Mathematics introduces readers to the power and beauty of math. By developing an appreciation for the aesthetics and applicability of mathematics, reader
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