Question 3 Answer the following questions: 1. Give an example of rankings for three applicants 1, 2, 3 and three jobs A, B, C. For which the Gale-Shapley algorithm (as presented in class) stops after three steps. 2. Consider the following rankings of applicants 1,2,3 and jobs A, B,C. Write all possible stable matchings for these rankings. You do not need to prove that they are stable. 1st 2nd 3rd 1 А В С Аpplicants 2 ВА С |1st 2nd 3rd A 2 1 3 B1 2 3 C| 1 2 3 Jobs 3 АВС 3. Using the rankings from the previous part, identify which stable matching is the output of the Gale-Shapley algorithm as presented in class.

Question 3 Answer the following questions: 1. Give an example of rankings for three applicants 1, 2, 3 and three jobs A, B, C. For which the Gale-Shapley algorithm (as presented in class) stops after three steps. 2. Consider the following rankings of applicants 1,2,3 and jobs A, B,C. Write all possible stable matchings for these rankings. You do not need to prove that they are stable. 1st 2nd 3rd 1 А В С Аpplicants 2 ВА С |1st 2nd 3rd A 2 1 3 B1 2 3 C| 1 2 3 Jobs 3 АВС 3. Using the rankings from the previous part, identify which stable matching is the output of the Gale-Shapley algorithm as presented in class.

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

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