Consider the instance of stable matching with preference lists as given in the the following tables. Hospitals are A,B,C,D, the they're preference list A wx Y Z B wx zY c x wY Z Dx wz Y Students are X,Y,Z,W, and their preference lists are: WDCBA x DCBA YCDAB Iz c D A B a. Use the Gale-Shapley algorithm to find the Hospital-Optimal (and Student-Pessimal) stable matching. b. Use the Gale-Shapley algorithm to find the Student-Optimal (and Hospital-Pessimal) stable matching.

Database System Concepts
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ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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2. Consider the instance of stable matching with preference lists as given in the the following tables. Hospitals are A,B,C,D, the they're preference lists a
A WX Y Z
BWX z Y
cx wY Z
DX wz Y
Students are X,Y,Z,W, and their preference lists are:
WDCBA
XDCBA
YCDAB
ZCDAB
a. Use the Gale-Shapley algorithm to find the Hospital-Optimal (and Student-Pessimal) stable matching.
b. Use the Gale-Shapley algorithm to find the Student-Optimal (and Hospital-Pessimal) stable matching.
Transcribed Image Text:2. Consider the instance of stable matching with preference lists as given in the the following tables. Hospitals are A,B,C,D, the they're preference lists a A WX Y Z BWX z Y cx wY Z DX wz Y Students are X,Y,Z,W, and their preference lists are: WDCBA XDCBA YCDAB ZCDAB a. Use the Gale-Shapley algorithm to find the Hospital-Optimal (and Student-Pessimal) stable matching. b. Use the Gale-Shapley algorithm to find the Student-Optimal (and Hospital-Pessimal) stable matching.
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