practiceexam3fa07SOL

practiceexam3fa07SOL - Practice Exam 3 Name_SOLUTIONS TA...

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Practice Exam 3 Name _______ SOLUTIONS _________ TA Name _________________________ Be sure to use a #2 pencil. Calculators are allowed, but cell phones or palm pilots are NOT acceptable. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) If a graph has 99 vertices, how many edges are in the minimum spanning tree? A) 98 (N-1) B) 99 C) 100 D) 9 E) Cannot be determined with the given information. 2) What is the name of the algorithm for finding the minimum spanning tree of a connected graph? A) Brute Force B) Cheapest Link C) Kruskal’s Algorithm D) Hamilton’s Method E) None of the above. Use the graph to answer questions #3 - #5. 3) Using Kruskal’s algorithm, what is the value of the edge chosen first? A) 15 B) 9 C) 2 D) 1 E) None of the above. 4) Using Kruskal’s algorithm, which of the following edges are NOT chosen? A) 6 B) 3 C) 5 D) 10 E) None of the above. 5) What is the weight of the tree resulting from Kruskal’s algorithm? A) 92 B) 36 C) 34 – 1+1+2+3+5+6+8+8 D) 41 E) None of the above.
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6) Which of the following is Binet’s formula for computing the th n Fibonacci number? A) 2 ) 1 ( + n n B) 5 2 5 1 2 5 1 N N - - + C) ( 29 ! 1 - n D) ! n E) None of the above. 7) What is the th 10 Fibonacci number? A) 10 B) 55 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, … C) 34 D) 89 E) None of the above. 8)
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practiceexam3fa07SOL - Practice Exam 3 Name_SOLUTIONS TA...

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