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CS 473: Algorithms, Fall 2010
HW 9 (due Tuesday, November 16)
This homework contains four problems.
Read the instructions for submitting homework on
the course webpage
. In particular,
make sure
that you write the solutions for the problems on
separate sheets of paper; the sheets for each problem should be stapled together. Write your name
and netid on each sheet.
Collaboration Policy:
For this home work, Problems 13 can be worked in groups of up to 3
students each.
Problem 0 should be answered in Compass as part of the assessment HW9Online and
should be done individually.
0. (10 pts) HW9Online on Compass.
1. (25 pts) Given an undirected graph
G
= (
V,E
) and two distinct nodes
s,t
describe an
algorithm that decides if there are
k
internally nodedisjoint paths between
s
and
t
. Two
s

t
paths
P
and
Q
are internally nodedisjoint if they do not share any nodes other than
s
and
t
.
2. (35 pts) Let
G
= (
V,E
) be a ﬂow network with source
s
and sink
t
. Describe a polynomial
time algorithm to check if
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This note was uploaded on 01/22/2011 for the course CS 473 taught by Professor Chekuri,c during the Fall '08 term at University of Illinois, Urbana Champaign.
 Fall '08
 Chekuri,C
 Algorithms

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