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CSE331 Lecture 5

# CSE331 Lecture 5 - Lecture 5 CSE 331 Sep 9 2011 Homework 1...

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Lecture 5 CSE 331 Sep 9, 2011

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Homework 1 has been posted READ THE INSTRUCTIONS VERY CAREFULLY Posted online (link on the blog) Grading rubric will be posted by Tuesday next week
Graded HW 0 Pick up in recitations or TA office hours next week

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Not all signed forms turned in I’ll need confirmation in writing. No graded material will be handed back till I get this signed form from you!
A puzzle (if you’re bored) For any n , what is the maximum number of stable matchings (for the same problem instance)? Prove as tight upper and lower bounds as you can.

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If you’re free this weekend http://www.cse.buffalo.edu/events/theory-IV/

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Two Questions Does a stable marriage always exist? If one exists, how quickly can we compute one?
Gale-Shapley Algorithm Intially all men and women are free While there exists a free woman who can propose Let w be such a woman and m be the best man she has not proposed to w proposes to m If m is free (m,w) get engaged Else (m,w’) are engaged If m prefers w’ to w w remains free Else (m,w) get engaged and w’ is free Output the engaged pairs as the final output

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Difference from the book In the book’s description, the men do the proposing
GS algorithm: Firefly Edition 1 1 2 2 3 3 4 4 5 5 6 6 Mal Wash Simon Inara Zoe Kaylee

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CSE331 Lecture 5 - Lecture 5 CSE 331 Sep 9 2011 Homework 1...

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