Suppose that there are m students who want to take part in n projects. A student is allowed to join in a particular project only if the student is qualified for the project. Each project can only have a limited number of students, and each student can take part in at most one project. The goal is to maximize the number of students that are admitted to the projects. Show how to solve this problem by transforming it into a maximum flow problem. What is the running time of your algorithm?

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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Suppose that there are m students who want to take part in n projects. A student
is allowed to join in a particular project only if the student is qualified for the project. Each
project can only have a limited number of students, and each student can take part in at most
one project. The goal is to maximize the number of students that are admitted to the projects.
Show how to solve this problem by transforming it into a maximum flow problem. What is the
running time of your algorithm?
Transcribed Image Text:Suppose that there are m students who want to take part in n projects. A student is allowed to join in a particular project only if the student is qualified for the project. Each project can only have a limited number of students, and each student can take part in at most one project. The goal is to maximize the number of students that are admitted to the projects. Show how to solve this problem by transforming it into a maximum flow problem. What is the running time of your algorithm?
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