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Unformatted text preview: CS 473G Homework 3 (due March 9, 2007) Spring 2007 CS 473G: Graduate Algorithms, Spring 2007 Homework 3 Due Friday, March 9, 2007 Remember to submit separate, individually stapled solutions to each problem. As a general rule, a complete, fullcredit solution to any homework problem should fit into two typeset pages (or five handwritten pages). If your solution is significantly longer than this, you may be including too much detail. 1. (a) Let X [1 .. m ] and Y [1 .. n ] be two arbitrary arrays. A common supersequence of X and Y is another sequence that contains both X and Y as subsequences. Describe and analyze an efficient algorithm to compute the function scs ( X, Y ) , which gives the length of the shortest common supersequence of X and Y . (b) Call a sequence X [1 .. n ] oscillating if X [ i ] < X [ i +1] for all even i , and X [ i ] > X [ i +1] for all odd i . Describe and analyze an efficient algorithm to compute the function los ( X ) , which gives the length of the longest oscillating subsequence of an arbitrary array X of integers....
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 Spring '11
 Smith
 Graph Theory, Empty set, Natural number, Graph theory objects, Travelling salesman problem

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