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  Incidence Theorems andTheir Applications Full text available at: http://dx.doi.org/10.1561/0400000056  Incidence Theorems andTheir Applications Zeev Dvir Princeton University Princeton, NJ 08540 USAzdvir@princeton.edu  Boston – Delft Full text available at: http://dx.doi.org/10.1561/0400000056  Foundations and Trends R   inTheoretical Computer Science Published, sold and distributed by: now Publishers Inc.PO Box 1024Hanover, MA 02339USATel. +1-781-985-4510www.nowpublishers.comsales@nowpublishers.com Outside North America: now Publishers Inc.PO Box 1792600 AD DelftThe NetherlandsTel. +31-6-51115274The preferred citation for this publication is Z. Dvir, Incidence Theorems and TheirApplications, Foundation and Trends R  in Theoretical Computer Science, vol 6,no 4, pp 257–393, 2010ISBN: 978-1-60198-620-7c  2012 Z. Dvir All rights reserved. No part of this publication may be reproduced, stored in a retrievalsystem, or transmitted in any form or by any means, mechanical, photocopying, recordingor otherwise, without prior written permission of the publishers.Photocopying. In the USA: This journal is registered at the Copyright Clearance Cen-ter, Inc., 222 Rosewood Drive, Danvers, MA 01923. Authorization to photocopy items forinternal or personal use, or the internal or personal use of specific clients, is granted bynow Publishers Inc. for users registered with the Copyright Clearance Center (CCC). The‘services’ for users can be found on the internet at: www.copyright.comFor those organizations that have been granted a photocopy license, a separate systemof payment has been arranged. Authorization does not extend to other kinds of copy-ing, such as that for general distribution, for advertising or promotional purposes, forcreating new collective works, or for resale. In the rest of the world: Permission to pho-tocopy must be obtained from the copyright owner. Please apply to now Publishers Inc.,PO Box 1024, Hanover, MA 02339, USA; Tel. +1-781-871-0245; www.nowpublishers.com;sales@nowpublishers.comnow Publishers Inc. has an exclusive license to publish this material worldwide. Permissionto use this content must be obtained from the copyright license holder. Please apply to nowPublishers, PO Box 179, 2600 AD Delft, The Netherlands, www.nowpublishers.com; e-mail:sales@nowpublishers.com Full text available at: http://dx.doi.org/10.1561/0400000056  Foundations and Trends R   inTheoretical Computer Science Volume 6 Issue 4, 2010 Editorial Board Editor-in-Chief:Madhu Sudan Microsoft Research New England One Memorial Drive Cambridge, Massachusetts 02142 USA Editors Bernard Chazelle (Princeton)Oded Goldreich (Weizmann Inst.)Shafi Goldwasser (MIT and Weizmann Inst.)Jon Kleinberg (Cornell University)L´aszl´o Lov´asz (Microsoft Research) Christos Papadimitriou (UC. Berkeley)Prabhakar Raghavan (Yahoo! Research)Peter Shor (MIT)Madhu Sudan (Microsoft Research)´Eva Tardos (Cornell University)Avi Wigderson (IAS) Full text available at: http://dx.doi.org/10.1561/0400000056
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