CSE331 HW8 - CSE 331 Introduction to Algorithm Analysis and...

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CSE 331: Introduction to Algorithm Analysis and Design Fall 2011 Homework 8 Due Friday, November 11, 2011 by 1:15pm in class Please submit each problem separately, i.e. each problem should begin on a new page and only the pages for one problem should be stapled together. Failure to do so might result in some problem(s) not being graded. For general homework policies and our suggestions, please see the policy document. In particular, make sure you follow the collaboration policy properly. Do not turn in Q 3 and Q4. 1. (40 points ) Design an O ( m log n ) time algorithm that given an undirected graph G = ( V, E ) and edge weights c e > 0 for every e E , outputs the maximum spanning tree: i.e. among all the spanning trees for G , the algorithm outputs the one with the maximum total weight of edges (breaking ties arbitrarily). 2. (45 + 15 = 60 points ) In class we have seem algorithms that compute the MST in time O ( m log n ). This is under the assumption that the graph is given it its adjacency list repre- sentation. This of course is not as best as possible
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