Based on the Gale-Shapley Algorithm, what would happen if we allow any man m or woman ww to have preference lists Pref( m), Pref(w) where |Pref(m)| < n or |Pref(w)| < n, n is the total number of men/women.

Database System Concepts
7th Edition
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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Based on the Gale-Shapley Algorithm, what would happen if we
allow any man m or woman w to have preference lists Pref(
m), Pref(w) where |Pref(m)| < n or [Pref(w)| < n, n is the total
number of men/women.
Transcribed Image Text:Based on the Gale-Shapley Algorithm, what would happen if we allow any man m or woman w to have preference lists Pref( m), Pref(w) where |Pref(m)| < n or [Pref(w)| < n, n is the total number of men/women.
Using Python to implement Gale-Shapley Algorithm that we
discussed in the class.
After your program is ready, test it with this scenario (feel free to
hard-code the input):
M = {m1,m2, m3, M4}
W = {w1,w2, W3, W4}
Pref(m1) = (w1, W2, W3, W4)
Pref(m2)
(w3, W2, W1, W4)
Pref(m3) = (w3, W4, W2, W1)
Pref(m4) =
(w4, W3, W2, Uw1)
Pref(w1) =
3D (т4, тз, тј, т2)
Pref(w2) = (m1, m3, m4, m2)
Pref(w3) = (m1, m2, m4, m3)
Pref(w4) = (m4, m1 , m2 , M3)
Transcribed Image Text:Using Python to implement Gale-Shapley Algorithm that we discussed in the class. After your program is ready, test it with this scenario (feel free to hard-code the input): M = {m1,m2, m3, M4} W = {w1,w2, W3, W4} Pref(m1) = (w1, W2, W3, W4) Pref(m2) (w3, W2, W1, W4) Pref(m3) = (w3, W4, W2, W1) Pref(m4) = (w4, W3, W2, Uw1) Pref(w1) = 3D (т4, тз, тј, т2) Pref(w2) = (m1, m3, m4, m2) Pref(w3) = (m1, m2, m4, m3) Pref(w4) = (m4, m1 , m2 , M3)
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