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CS7200: Algorithm Design and Analysis

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WRIGHT STATE UNIVERSITY Department of Computer Science and Engineering CS7200: Algorithm Design and Analysis Summer 2019 Midterm (50 pts) Prasad Write the answers only in the space provided. Use the “blank” sides of each page for scratch work. Be concise, precise and legible. Suggestion: Attempt the problems in the order of your comfort-level and familiarity. If you feel you are stuck, move onto other problems, complete them, and then return so that you attempt all the problems. NAME UID EMAIL This study source was downloaded by from CourseH on :35:36 GMT -05:00 1) [Stable Matching Problem: 5 + 5 pts] Consider an instance of the stable marriage problem with the priority lists: Albert Diane Emily Fergie Bradley Emily Diane Fergie Charles Diane Emily Fergie Diane Bradley Albert Charles Emily Albert Bradley Charles Fergie Albert Bradley Charles (a) Is {Albert-Fergie, Bradley-Emily, Charles-Diane} a stable matching? If yes, then provide an argument or show which pairs would you test for, for thorough verification. If no, provide a pair that causes instability. (b) Determine men-optimal solution if there exists a stable matching

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WRIGHT STATE UNIVERSITY
Department of Computer Science and Engineering
CS7200: Algorithm Design and Analysis

Summer 2019 Midterm (50 pts) Prasad




Write the answers only in the space provided. Use the “blank” sides of each
page for scratch work. Be concise, precise and legible.

Suggestion: Attempt the problems in the order of your comfort-level and
familiarity. If you feel you are stuck, move onto other problems, complete them,
and then return so that you attempt all the problems.




NAME


UID


EMAIL




This study source was downloaded by 100000899606070 from CourseHero.com on 10-07-2025 01:35:36 GMT -05:00


https://www.coursehero.com/file/80660659/midterm-sample2pdf/

, 1) [Stable Matching Problem: 5 + 5 pts]
Consider an instance of the stable marriage problem with the priority lists:

Albert Diane Emily Fergie
Bradley Emily Diane Fergie
Charles Diane Emily Fergie


Diane Bradley Albert Charles
Emily Albert Bradley Charles
Fergie Albert Bradley Charles


(a) Is {Albert-Fergie, Bradley-Emily, Charles-Diane} a stable matching? If yes,
then provide an argument or show which pairs would you test for, for
thorough verification. If no, provide a pair that causes instability.




(b) Determine men-optimal solution if there exists a stable matching.




This study source was downloaded by 100000899606070 from CourseHero.com on 10-07-2025 01:35:36 GMT -05:00


https://www.coursehero.com/file/80660659/midterm-sample2pdf/
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