hw5 - 15-750 HW 5115-750 Graduate Algorithms Spring...

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Unformatted text preview: 15-750 HW 5115-750 Graduate Algorithms Spring 2009Miller and Dinitz and TangwongsanAssignment 5Due date: Wednesday, April 15Some Reminders:Read the Policies section on the course web site before you start working on this assignment. Collab-orationispermitted 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, Markovs inequality or isoperimetric bounds. For eachproblem, state whether you have seen it before. If you have questions, contact the course staff.Westronglyencourage you to type up your solutions (preferably using LaTeX). Extra-credit will begiven 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 ofoffice hours.1Something 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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hw5 - 15-750 HW 5115-750 Graduate Algorithms Spring...

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