Find a stable marriage matching for the instance given in the picture by applying the stable marriage algorithm a. in its men-proposing version. b. in its women-proposing version.
Find a stable marriage matching for the instance given in the picture by applying the stable marriage algorithm a. in its men-proposing version. b. in its women-proposing version.
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
Section: Chapter Questions
Problem 1PE
Related questions
Question
Find a stable marriage matching for the instance given in the picture by applying the stable marriage
a. in its men-proposing version.
b. in its women-proposing version.

Transcribed Image Text:Consider an instance of the stable marriage problem given by the following
ranking matrix:
α
B
Y
A
B C
1,3 2,2
3,1
3,1 1,3 2,2
2,2 3,1
1,3

Transcribed Image Text:Stable marriage algorithm
Input: A set of n men and a set of n women along with rankings of the women
by each man and rankings of the men by each woman with no ties
allowed in the rankings
Output: A stable marriage matching
Step 0 Start with all the men and women being free.
Step 1 While there are free men, arbitrarily select one of them and do the
following:
Proposal The selected free man m proposes to w, the next
woman on his preference list (who is the highest-ranked woman
who has not rejected him before).
Response If w is free, she accepts the proposal to be matched
with m. If she is not free, she compares m with her current mate. If
she prefers m to him, she accepts m's proposal, making her former
mate free; otherwise, she simply rejects m's proposal, leaving m
free.
Step 2 Return the set of n matched pairs.
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps

Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.Recommended textbooks for you

Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education

Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON

Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON

Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education

Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON

Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON

C How to Program (8th Edition)
Computer Science
ISBN:
9780133976892
Author:
Paul J. Deitel, Harvey Deitel
Publisher:
PEARSON

Database Systems: Design, Implementation, & Manag…
Computer Science
ISBN:
9781337627900
Author:
Carlos Coronel, Steven Morris
Publisher:
Cengage Learning

Programmable Logic Controllers
Computer Science
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education