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hw5 - 15-750 HW 5 1 15-750 Graduate Algorithms Spring 2009...

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15-750 HW 5 1 15-750 — Graduate Algorithms — Spring 2009 Miller and Dinitz and Tangwongsan Assignment 5 Due date: Wednesday, April 15 Some Reminders: Read the Policies section on the course web site before you start working on this assignment. Collab- oration is permitted for this assignment; however, you must write up your own solutions. When solving these problems, you should refrain from looking up solutions from outside sources; however, you should feel free to look up, say, Markov’s inequality or isoperimetric bounds. For each problem, state whether you have seen it before. If you have questions, contact the course staff. We strongly encourage you to type up your solutions (preferably using LaTeX). Extra-credit will be given if we use your wonderful write-up in our solutions. You may neatly hand-write your solutions, but if we have trouble reading them, you will be required to type up future solutions. When you give an algorithm, please also explain why it is correct and analyze its running time. Start EARLY! We encourage you to start working on this assignment early and take full advantage of office hours. 1 Something about Laplacian (25 pts.) The Laplacian of a graph encodes a number of interesting properties of the graph. In this problem, we will examine some (random) facts about graph Laplacians.
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