COMS 4231: Analysis of Algorithms I, Fall 2010
Problem Set 6,
due Tuesday December 7, in class
Note:
We
plan
to
post
solutions
on
Tuesday
after
the
class,
in
preparation for the final, so no late homeworks will be accepted.
Please follow the homework submission guidelines posted on the web
As usual, for each of the algorithms that you give, include an explanation of how the
algorithm works, why it is correct, what is its running time, and why it has the claimed
running time.
Problem 1
. a. Exercise 24.32 in CLRS, page 663.
b.
Exercise 24.34 in CLRS, page 663.
Problem 2.
Do Problem 241 in CLRS, page 678.
Problem 3
.
Do Problem 263 (“Algorithmic consulting”) in CLRS, page 761.
Problem 4
.
The
Maximum Independent Set (MIS)
problem is as follows: Given an
undirected graph G=(N,E),
find a maximumsize set S of nodes that are pairwise non
adjacent, i.e. there is no edge connecting any two nodes of S (such a set of nodes is called
independent).
1. Give an efficient algorithm to solve the MIS problem when G is bipartite.
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 Spring '10
 Staff
 Algorithms, Graph Theory, Bipartite graph, ILP, Optimal Testing problem

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