Homework 8

# Homework 8 - CS180 Winter 2011 Homework 8 Due: 9th March...

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CS180 Winter 2011 Homework 8 Due: 9 th March When submitting your homework, please include your name at the top of each page. If you submit multiple pages, please staple them together . We also ask that you do something to indicate which name is your last name on the ﬁrst page, such as underlining it. Please submit your solutions with the problems solved in the order they are given. 1. Consider a set A = { a 1 ,...,a n } and a collection B 1 ,B 2 ,...B m of subsets of A (i.e., B i A for each i ) We say that a set H A is a hitting set for the collection B 1 ,B 2 ,...B m if H contains at least one element from each B i – that is, if H B i is not empty for each i . We now deﬁne the Hitting Set Problem 1 as follows. We are given a set A and a collection B of subsets of A , and a number k . We are asked: is there a hitting set H A for B so that the size of H is at most k ? Prove that

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## This note was uploaded on 04/16/2011 for the course CS 180 taught by Professor Moloudi during the Spring '08 term at UCLA.

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Homework 8 - CS180 Winter 2011 Homework 8 Due: 9th March...

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