hw7520_11_1 - (b Generalize the problem the algorithm and...

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CS 7250, Approximation Algorithms Homework 1 Thu, Jan 20, 2011 Due Thu, Jan 27, 2011 Problem 1: Maxcut, Greedy Approximation Algorithm Consider the cardinality maxcut problem, as defined in Vazirani Exercise 2.1 (page 22), and the greedy algorithm given also in Vazirani Exercise 2.1 (Algorithm 2.13, page 22.) In class (lecture 1-18-11) we showed that Algorithm 2.13 is a factor 1/2 approximation algorithm. (a) Give a class of graphs for which the 1/2 approximation factor is tight.
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Unformatted text preview: (b) Generalize the problem, the algorithm and its analysis to weighted graphs. Problem 2: Maxcut, Local Search Approximation Algorithm Vazirani Exercise 2.2 (page 23). Problem 3: Vertex Coloring Vazirani Problem 2.16 (pages 22 and 23). Note: : Widgerson’s original paper on this problem is reference 265 (page 372) in Vazirani’s book....
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