Manlove, D. F. and O'Malley, G. (2005) Student-Project Allocation with Preferences over Projects. In: Algorithms and Complexity in Durham 2005: Proceedings of the First ACiD Workshop, Durham, UK, 08-10 Jul 2005, pp. 69-80. ISBN 9781904987109
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Abstract
We study the problem of allocating students to projects, where both students and lecturers have preferences over projects, and both projects and lecturers have capacities. In this context we seek a stable matching of students to projects, which respects these preference and capacity constraints. Here, the stability definition generalises the corresponding notion in the context of the classical Hospitals / Residents problem. We show that stable matchings can have different sizes, and the problem of finding a maximum cardinality stable matching is NP-hard, though approximable within a factor of 2.
Item Type: | Conference Proceedings |
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Status: | Published |
Refereed: | Yes |
Glasgow Author(s) Enlighten ID: | Manlove, Professor David and O'Malley, Dr Gregg |
Authors: | Manlove, D. F., and O'Malley, G. |
College/School: | College of Science and Engineering > School of Computing Science |
ISBN: | 9781904987109 |
Copyright Holders: | Copyright © 2005 The Authors |
First Published: | First published in Algorithms and Complexity in Durham 2005: Proceedings of the First ACiD Workshop: 69-80 |
Publisher Policy: | Reproduced in accordance with the publisher copyright policy |
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