MIT6_042JS10_lec15_prob

MIT6_042JS10_lec15_prob - Massachusetts Institute of...

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Unformatted text preview: Massachusetts Institute of Technology 6.042J/18.062J, Spring 10 : Mathematics for Computer Science March 8 Prof. Albert R. Meyer revised March 2, 2010, 734 minutes In-Class Problems Week 6, Mon. Problem 1. Four Students want separate assignments to four VI-A Companies. Here are their preference rankings: Student Albert: Rich: Megumi: Justin: Company AT&T: Justin, Albert, Megumi, Rich Bellcore: Megumi, Rich, Albert, Justin HP: Justin, Megumi, Albert, Rich Draper: Rich, Justin, Megumi, Albert Companies HP, Bellcore, AT&T, Draper AT&T, Bellcore, Draper, HP HP, Draper, AT&T, Bellcore Draper, AT&T, Bellcore, HP Students (a) Use the Mating Ritual to find two stable assignments of Students to Companies. (b) Describe a simple procedure to determine whether any given stable marriage problem has a unique solution, that is, only one possible stable matching. Problem 2. A preserved invariant of the Mating ritual is: For every girl, G , and every boy, B , if G is crossed off B s list, then G has a favorite...
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This note was uploaded on 05/27/2011 for the course CS 6.042J taught by Professor Prof.albertr.meyer during the Spring '11 term at MIT.

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MIT6_042JS10_lec15_prob - Massachusetts Institute of...

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