Topics in Matroid Theory
Topics in Matroid Theory provides a brief introduction to matroid theory with an emphasis on algorithmic consequences.Matroid theory is at the heart of combinatorial optimization and has attracted various pioneers such as Edmonds, Tutte, Cunningham and La
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Leonidas S. Pitsoulis
Topics in Matroid Theory
SpringerBriefs in Optimization
Series Editors Panos M. Pardalos János D. Pintér Stephen M. Robinson Tamás Terlaky My T. Thai
For further volumes: http://www.springer.com/series/8918
SpringerBriefs in Optimization showcases algorithmic and theoretical techniques, case studies, and applications within the broad-based field of optimization. Manuscripts related to the ever-growing applications of optimization in applied mathematics, engineering, medicine, economics, and other applied sciences are encouraged.
Leonidas S. Pitsoulis
Topics in Matroid Theory
123
Leonidas S. Pitsoulis Department of Mathematical, Physical and Computational Sciences, School of Engineering Aristotle University of Thessaloniki Thessaloniki Greece
ISSN 2190-8354 ISBN 978-1-4614-8956-6 DOI 10.1007/978-1-4614-8957-3
ISSN 2191-575X (electronic) ISBN 978-1-4614-8957-3 (eBook)
Springer New York Heidelberg Dordrecht London Library of Congress Control Number: 2013947069 Mathematics Subject Classification (2010): 05B35, 52B40, 68R10, 97K30, 90C27 Ó Leonidas S. Pitsoulis 2014 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. Exempted from this legal reservation are brief excerpts in connection with reviews or scholarly analysis or material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Duplication of this publication or parts thereof is permitted only under the provisions of the Copyright Law of the Publisher’s location, in its current version, and permission for use must always be obtained from Springer. Permissions for use may be obtained through RightsLink at the Copyright Clearance Center. Violations are liable to prosecution under the respective Copyright Law. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. While the advice and information in this book are believed to be true and accurate at the date of publication, neither the authors nor the editors nor the publisher can accept any legal responsibility for any errors or omissions that may be made. The publisher makes no warranty, express or implied, with respect to the material contained herein. Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)
To Lenio, Vasilina, and Alexios
Preface
The purpose of this monograph is to expose a less-known decomposition result
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