10. Consider the graph given below. We will use the Brute Force Method, as follows.B4Da. Use the Fundamental Principle of Counting to determine how many unique Hamiltonian circuitsare possible.b. Construct a tree diagram to find each of these possible circuits.c. Use wiggly lines to show each of these possible circuits.d. Determine which circuit would be optimal.11. Consider the graph given in #10. Using the Nearest Neighbor algorithm starting at vertex B, find thecost of the Hamiltonian circuit for this graph. Compare this answer to the answer obtained in #10.Does the nearest-neighbor algorithm always find the minimum cost Hamiltonian circuit?

Since you have asked multiple questions, we will solve the Question (10) (a) and (b) for you. If…

Answered: Consider the graph given below. We will…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

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Part 2: Apportioning the Math Classes 6xe uoy zanoiresup sniwollot or 19waA 2nolbo1i noisutiz dase o tas qas Based on the enrollment figures from the previous year, a community college expects the total enrollment in mathematics courses, broken down by course, to be that given in the table below. enihiA obs9 bs The college employs 15 mathematics professors and they each teach five sections. The mathematics department chair decides to apportion the classes among the six subjects offered according to the expected enrollment. Apportion the classes using Hamilton's and Webster's methods. Round all values to three decimal places when showing work. (Hint: Websters modified divisor is between 34 and 34.5.) alorlw show worle of suz M.bon M 290sig Ismiosb asidt ot 2sulev lic bnuo 9noITIoqgo Hamilton's final Webster's final Course Course Quota Apportionment Apportionment Enrollment DMA 862 Algebra 561 YM ot siiohor Trigonometry 151 ot s7ohs3 imsilv Precalculus 423 Calculus I 382 Calculus II 224…
3. Symbolize the following, which require frequent use of the horseshoe. Use only the ab- breviations provided. J = John will make supper; W = Mary is working late; M = Mary will make supper; L = John is working late; H = John is very hungry; B = John's boss requires his work- ing late; 0 = It is a holiday; D = John washes the dishes b. Mary will make supper if John is working late. d. John works late if and only if Mary does not. f. John will not work late unless his boss requires it. h. John or Mary will work late, but not both. j. Only if John works late and it is not a holiday will Mary make supper. 1. John will make supper and wash the dishes unless it is a holiday or he is working late.
Exercise 5.5. John owns six discs: 3 of classical music, 2 of jazz and one of rock (all of them different). How many possible ways does John have if he wants to store these discs on a shelf, if: (a) No restrictions are enforced; (b) The classical discs and the jazz discs have to be stored together; (c) The classical discs have to be stored together, but the jazz discs have to be separated.
Use the dot method to add the numbers below. If the number needs a dot, put a dot (period) to the right of the number. Otherwise leave it blank.
2. The following table shows the list of the math exams with student IDs registered for each course. we want to schedule the exams so that two exams with common students don't fall on the same day. What is the minimum number of days we need to schedule these exams? Math 101: 2001 2003 2004 2008 Math 201: 2002 2003 2008 Math 232: 2002 2005 2007 2006 Math 241: 2003 2004 2006 Math 344: 2001 2005
For the three-part question that follows, provide your answer to each part in the given workspace. Identify each part with a coordinating response. Be sure to clearly label each part of your response as Part A, Part B, and Part C. View the rubric linked above for help if needed. For Part A, Part B, and Part C, use the scenario below. Show all work. Cards are drawn from a standard 52-card deck without replacement. Part A: Two cards are drawn. What is the probability that the first card is a five and the second card is a six? Part B: Two cards are drawn. What is the probability that both cards are fives? Is the probability that both cards are fives greater or less than the probability that a five and six are drawn? Explain. Part C: Three cards are drawn. What is the probability that exactly two cards are fives?
3. How many different Hamiltonian circuits starting with edge BH are in the following graph? A G E D F B H
%3D %3D %3D n(A) = 35, n(B) = 85, n(AUB) = 90, n(U) = 100 HUVUV8UV the four disjoint subsets. Given the following information, determine the number of elements in each of

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Consider the graph given below. We will use the Brute Force Method, as follows. 3 8 a. Use the Fundamental Principle of Counting to determine how many unique Hamiltonian circuits are possible. p. Construct a tree diagram to find each of these possible circuits.