Discrete Geometry and Optimization
Optimization has long been a source of both inspiration and applications for geometers, and conversely, discrete and convex geometry have provided the foundations for many optimization techniques, leading to a rich interplay between these subjects. The
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Károly Bezdek Antoine Deza Yinyu Ye Editors
Discrete Geometry and Optimization
Fields Institute Communications VOLUME 69 The Fields Institute for Research in Mathematical Sciences Fields Institute Editorial Board: Carl R. Riehm, Managing Editor Edward Bierstone, Director of the Institute Matheus Grasselli, Deputy Director of the Institute James G. Arthur, University of Toronto Kenneth R. Davidson, University of Waterloo Lisa Jeffrey, University of Toronto Barbara Lee Keyfitz, Ohio State University Thomas S. Salisbury, York University Noriko Yui, Queen’s University
The Fields Institute is a centre for research in the mathematical sciences, located in Toronto, Canada. The Institutes mission is to advance global mathematical activity in the areas of research, education and innovation. The Fields Institute is supported by the Ontario Ministry of Training, Colleges and Universities, the Natural Sciences and Engineering Research Council of Canada, and seven Principal Sponsoring Universities in Ontario (Carleton, McMaster, Ottawa, Toronto, Waterloo, Western and York), as well as by a growing list of Affiliate Universities in Canada, the U.S. and Europe, and several commercial and industrial partners.
For further volumes: http://www.springer.com/series/10503
K´aroly Bezdek • Antoine Deza • Yinyu Ye Editors
Discrete Geometry and Optimization
The Fields Institute for Research in the Mathematical Sciences
123
Editors K´aroly Bezdek Department of Mathematics & Statistics University of Calgary Calgary, AB, Canada
Antoine Deza Department of Computing and Software McMaster University Hamilton, ON, Canada
Yinyu Ye Department of Management Science and Engineering Stanford University Stanford, CA, USA
ISSN 1069-5265 ISSN 2194-1564 (electronic) ISBN 978-3-319-00199-9 ISBN 978-3-319-00200-2 (eBook) DOI 10.1007/978-3-319-00200-2 Springer New York Heidelberg Dordrecht London Library of Congress Control Number: 2013939587 Mathematics Subject Classification (2010): 52A10, 52A21, 52A35, 52B11, 52C15, 52C17, 52C20, 52C35, 52C45, 90C05, 90C22, 90C25, 90C27, 90C34 © Springer International Publishing Switzerland 2013 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 fr
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