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| courses:cs211:winter2018:journals:boyese:chapter1 [2018/01/22 21:55] – [Section 1.1 : A First Problem: Stable Matching] boyese | courses:cs211:winter2018:journals:boyese:chapter1 [2018/01/22 21:56] (current) – [Section 1.1 : A First Problem: Stable Matching] boyese | ||
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| There are several truths regarding the stable marriage problem that can all be verified by proof by contradiction.\\ | There are several truths regarding the stable marriage problem that can all be verified by proof by contradiction.\\ | ||
| Note that w represents a woman and m represents a man.\\ | Note that w represents a woman and m represents a man.\\ | ||
| - | \\ | + | |
| 1.1 w remains engaged from the point at which she receives her first proposal; and the sequence of partners to which she is engaged gets better and better. | 1.1 w remains engaged from the point at which she receives her first proposal; and the sequence of partners to which she is engaged gets better and better. | ||
| 1.2 The sequence of women to whom m proposes gets worse and worse. | 1.2 The sequence of women to whom m proposes gets worse and worse. | ||
