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Handbook of Data Structures and Applications Second Edition Handbook of Data Structures and Applications Second Edition Edited by Dinesh P. Mehta Sartaj Sahni MATLAB(cid:2)RisatrademarkofTheMathWorks,Inc.andisusedwithpermission.TheMathWorksdoesnotwarranttheaccuracyofthetextor exercisesinthisbook.Thisbook’suseordiscussionofMATLAB(cid:2)Rsoftwareorrelatedproductsdoesnotconstituteendorsementorsponsorship byTheMathWorksofaparticularpedagogicalapproachorparticularuseoftheMATLAB(cid:2)Rsoftware. CRCPress Taylor&FrancisGroup 6000BrokenSoundParkwayNW,Suite300 BocaRaton,FL33487-2742 (cid:2)c 2018byTaylor&FrancisGroup,LLC CRCPressisanimprintofTaylor&FrancisGroup,anInformabusiness NoclaimtooriginalU.S.Governmentworks Printedonacid-freepaper InternationalStandardBookNumber-13:978-1-4987-0185-3(Hardback) Thisbookcontainsinformationobtainedfromauthenticandhighlyregardedsources.Reasonableeffortshavebeenmadetopublishreliabledata andinformation,buttheauthorandpublishercannotassumeresponsibilityforthevalidityofallmaterialsortheconsequencesoftheiruse.The authorsandpublishershaveattemptedtotracethecopyrightholdersofallmaterialreproducedinthispublicationandapologizetocopyright holdersifpermissiontopublishinthisformhasnotbeenobtained.Ifanycopyrightmaterialhasnotbeenacknowledgedpleasewriteandletus knowsowemayrectifyinanyfuturereprint. ExceptaspermittedunderU.S.CopyrightLaw, nopart ofthisbookmaybereprinted, reproduced,transmitted,orutilizedinanyformby anyelectronic,mechanical,orothermeans,nowknownorhereafterinvented,includingphotocopying,microfilming,andrecording,orinany informationstorageorretrievalsystem,withoutwrittenpermissionfromthepublishers. Forpermissiontophotocopyorusematerialelectronicallyfromthiswork,pleaseaccesswww.copyright.com(http://www.copyright.com/)or contacttheCopyrightClearanceCenter,Inc.(CCC),222RosewoodDrive,Danvers,MA01923,978-750-8400.CCCisanot-for-profitorgani- zationthatprovideslicensesandregistrationforavarietyofusers.FororganizationsthathavebeengrantedaphotocopylicensebytheCCC,a separatesystemofpaymenthasbeenarranged. TrademarkNotice:Productorcorporatenamesmaybetrademarksorregisteredtrademarks,andareusedonlyforidentificationandexplanation withoutintenttoinfringe. LibraryofCongressCataloging-in-PublicationData Names:Mehta,DineshP.,editor.|Sahni,Sartaj,editor. Title:Handbookofdatastructuresandapplications/editedbyDineshP.MehtaandSartajSahni. Othertitles:Datastructuresandapplications Description:Secondedition.|BocaRaton,Florida:CRCPress,[2018]|Includesbibliographicalreferencesandindex. Identifiers:LCCN2017041375|ISBN9781498701853(hardback)|ISBN9781315119335(e-book) Subjects:LCSH:Systemdesign--Handbooks,manuals,etc.|Datastructures(Computerscience)--Handbooks,manuals,etc. Classification:LCCQA76.9.S88H3632005|DDC005.7/3--dc23LCrecordavailableathttps://lccn.loc.gov/2017041375 VisittheTaylor&FrancisWebsiteat http://www.taylorandfrancis.com andtheCRCPressWebsiteat http://www.crcpress.com Toourwives, UshaMehtaandNeetaSahni Contents PrefacetotheSecondEdition.....................................................................................................................................xi PrefacetotheFirstEdition........................................................................................................................................xiii Editors..........................................................................................................................................................................xv Contributors..............................................................................................................................................................xvii PART I Fundamentals 1 AnalysisofAlgorithms.......................................................................................................................................3 SartajSahni 2 BasicStructures.................................................................................................................................................23 DineshP.Mehta 3 Trees...................................................................................................................................................................35 DineshP.Mehta 4 Graphs................................................................................................................................................................49 NarsinghDeo PART II Priority Queues 5 LeftistTrees........................................................................................................................................................69 SartajSahni 6 SkewHeaps........................................................................................................................................................77 C.PanduRangan 7 Binomial,Fibonacci,andPairingHeaps.........................................................................................................85 MichaelL.Fredman 8 Double-EndedPriorityQueues.......................................................................................................................97 SartajSahni PART III Dictionary Structures 9 HashTables......................................................................................................................................................117 PatMorin 10 BloomFilterandItsVariants.........................................................................................................................131 ShigangChen 11 BalancedBinarySearchTrees........................................................................................................................151 ArneAndersson,RolfFagerberg,andKimS.Larsen 12 FingerSearchTrees.........................................................................................................................................171 GerthStøltingBrodal vii viii Contents 13 Splaytrees........................................................................................................................................................179 SanjeevSaxena 14 RandomizedDictionaryStructures...............................................................................................................197 C.PanduRangan 15 TreeswithMinWeightedPathLength..........................................................................................................215 WojciechRytter 16 BTrees..............................................................................................................................................................233 DonghuiZhang PART IV Multidimensional/Spatial Structures 17 MultidimensionalSpatialDataStructures....................................................................................................251 HananSamet 18 PlanarStraightLineGraphs...........................................................................................................................277 Siu-WingCheng 19 Interval,Segment,Range,PrioritySearchTrees..........................................................................................291 D.T.LeeandHung-IYu 20 QuadtreesandOcttrees..................................................................................................................................309 SrinivasAluru 21 BSPTrees..........................................................................................................................................................329 BruceF.Naylor 22 R-Trees.............................................................................................................................................................343 ScottLeuteneggerandMarioA.Lopez 23 ManagingSpatio-TemporalData..................................................................................................................359 SumeetDuaandS.S.Iyengar 24 KineticDataStructures..................................................................................................................................377 LeonidasGuibas 25 OnlineDictionaryStructures.........................................................................................................................389 TeofiloF.Gonzalez 26 Cuttings............................................................................................................................................................397 BernardChazelle 27 ApproximateGeomQueryStructures..........................................................................................................405 ChristianA.DuncanandMichaelT.Goodrich 28 GeometricandSpatialDataStructuresinExternalMemory.....................................................................419 JeffreyScottVitter PART V Miscellaneous 29 Tries..................................................................................................................................................................445 SartajSahni 30 SuffixTreesandSuffixArrays........................................................................................................................461 SrinivasAluru 31 StringSearching..............................................................................................................................................477 AndrzejEhrenfeuchtandRossM.McConnell Contents ix 32 BinaryDecisionDiagrams.............................................................................................................................495 Shin-ichiMinato 33 PersistentDataStructures..............................................................................................................................511 HaimKaplan 34 DataStructuresforSets..................................................................................................................................529 RajeevRaman 35 CacheObliviousDataStructures...................................................................................................................545 LarsArge,GerthStøltingBrodal,andRolfFagerberg 36 DynamicTrees.................................................................................................................................................567 CamilDemetrescu,IreneFinocchi,andGiuseppeF.Italiano 37 DynamicGraphs.............................................................................................................................................581 CamilDemetrescu,IreneFinocchi,andGiuseppeF.Italiano 38 SuccinctRepresentationofDataStructures.................................................................................................595 J.IanMunroandS.SrinivasaRao 39 RandomizedGraphDataStructures.............................................................................................................611 SurenderBaswanaandSandeepSen 40 SearchingandPriorityQueuesino(logn)Time.........................................................................................627 ArneAndersson PART VI Data Structures in Langs and Libraries 41 FunctionalDataStructures............................................................................................................................639 ChrisOkasaki 42 LEDA,aPlatformforCombinatorialandGeometricComputing.............................................................653 StefanNaeher 43 DataStructuresinC++...................................................................................................................................667 MarkAllenWeiss 44 DataStructuresinJDSL..................................................................................................................................679 MichaelT.Goodrich,RobertoTamassia,andLucaVismara 45 DataStructureVisualization..........................................................................................................................697 JohnStasko 46 DrawingTrees..................................................................................................................................................707 SebastianLeipert 47 DrawingGraphs..............................................................................................................................................723 PeterEadesandSeok-HeeHong 48 ConcurrentDataStructures...........................................................................................................................741 MarkMoirandNirShavit PART VII Applications 49 IPRouterTables..............................................................................................................................................765 SartajSahni,KunSukKim,andHaibinLu 50 MultidimensionalPacketClassification........................................................................................................783 PankajGupta

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The Handbook of Data Structures and Applications was first published over a decade ago. This second edition aims to update the first by focusing on areas of research in data structures that have seen significant progress. While the discipline of data structures has not matured as rapidly as other ar
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The Handbook of Data Structures and Applications was first published over a decade ago. This second edition aims to update the first by focusing on areas of research in data structures that have seen significant progress. While the discipline of data structures has not matured as rapidly as other ar

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