chap1 - C h ap ter D a taS tru c tu re sandA lgo r ithm...

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Unformatted text preview: C h ap ter D a taS tru c tu re sandA lgo r ithm sonW o rd s In th isbookw echoo seon e face to fth eth eo ryo fa lgo r ithm s ,nam e ly tha to fda tastru c tu res anda lgo r ithm sonw o rd s(str ing s ,sequ en ces)to illu stra tep robab ilist ic ,com b ina to r ia land ana ly t ictechn iqu eso fana ly s is .In th ischap ter ,w eb r ie yd escr ib esom eda ta stru c tu resand a lgo r ithm sonw o rd stha ta reu sed ex ten s iv e ly th roughou tth ebook to illu stra teth em e thod s o fana ly s is . D a taS tru c tu resanda lgo r ithm sonw o rd shav eexp er ien cedan eww av eo fin terestdu eto anum b ero fnov e lapp lica t ion s in com pu tersc ien ce ,comm un ica t ion s ,andb io logy .Am ong o th ers ,th ese in c lud edynam icha sh ing ,pa rt ia lm a tch re tr ieva lo fm u lt id im en s iona lda ta , sea rch ingand so rt ing ,pa tternm a tch ing ,con ic treso lu t iona lgo r ithm sfo rb road ca stcom- m un ica t ion s ,da tacom p ress ion ,cod ing ,secu r ity ,gen essea rch ing ,DNA sequ en c ing ,gnom e m ap s ,doub led igestp rob lem ,and so fo rth .T o sa t is fy th esed iv ers iedd em and sva r iou sda ta stru c tu resw erep ropo sed fo rth esea lgo r ithm s .U ndoub t ly ,th em o stpopu la rda ta stru c tu res ina lgo r ithm sonw o rd sa red ig ita ltrees [,,](e .g .,tr ies ,PATR IC IA ,d ig ita lsea rch trees) ,and inpa rt icu la rsux trees [,,,,,,].W ed iscu ssb e low va r i- ou sd ig ita ltreesand in trodu cesev era lpa ram e terscha rac ter iz ing th em tha tw esha llstudy th roughou tth ebook . T h e im po rtan ceo fd ig ita ltreesstem from th e irabundan ceo fapp lica t ion s ino th erp rob- lem ssu cha sda tacom p ress ion (c f.S ec t ion .) ,pa tternm a tch ing (c f.S ec t ion .) ,and th e sho rtestcomm on sup erstr ingp rob lem (c f.S ec t ion .) .T h esep rob lem srecen t lyb ecam e v ery im po rtan tdu eto th en eed fo ran ec ien tsto rageand tran sm iss iono fm u lt im ed ia ,and po ss ib leapp lica t ion sto th eDNA sequ en c ing . G raph sandd irec tedacy c licg raph s(DAG )a lsond sev era lapp lica t ion s inp rob lem son str ing s .Inpa rt icu la r ,w econ s id erth e ed itd is tan ce p rob lem and itsva r ian ts(c f.S ec t ion .) . F ina lly ,w ec lo seth ischap terw ithab r ie fd iscu ss iono fcerta in c la sso fop t im iza t ionp rob lem s ong raph stha tndapp lica t ion s fo ra lgo r ithm sonw o rd s(c f.S ec t ion .) . .D ig ita lT ree s W esta rtou rd iscu ss ionw ithab r ie frev iew o fth e d ig ita ltree s .T h em o stba s icd ig ita ltree know na sa tr ie (th enam ecom es from re tr ie va l) isd en edrst ,and th eno th erd ig ita ltrees (su cha sPATR IC IA ,d ig ita lsea rch treesand sux trees)a red escr ib ed in term so fth etr ie . D a taS tru c tu re sandA lgo r ithm sonW o rd s X 1 X 2 X 3 X 4 Digital Search Tree trie X 1 X 2 X 3 X 4 1 1 1 X 1 X 2 X 3 X 4 Patricia F igu re . :A tr ie ,P a tr ic ia tr ieandad ig ita lsea rch tree(D ST )bu iltfrom th e fo llow ing fou rstr ing s X = ::: , X = ::: , X = ::: ,and X = :::...
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This note was uploaded on 05/01/2010 for the course CS 434 taught by Professor Spankowski during the Spring '10 term at Purdue University-West Lafayette.

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chap1 - C h ap ter D a taS tru c tu re sandA lgo r ithm...

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