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1、http://www.paper.edu.cnAnImplementationMethodofTreeStructureBasedonMultilevelMarkingCodingTheoryWuShengyuanSchoolofComputerScienceandTechnologyShandongUniversityJinan,P.R.China250061Email:wsy@sdu.edu.cnAbstractBasedonmultilevelmarkingcodingtheory，thispaperpresentsanewtreeimple
2、mentationmethod,calledasmatrix-basedimplementationmethod,whichcanbeusedtoimplementbinarytree,generaltree,andanykindsoftrees.Comparingtotheexistentimplementationmethods,matrix-basedimplementationmethodissimpler,theoperationsoftreearesimplifiedandmoreefficient,andstoragespacecan
3、besavedKeywords:Treeimplementation;multilevelmarkingcodingtheory;matrix;multilevelmark.1IntroductionTreestructureisusuallyimplementedbypointers,calledaspointer-basedimplementation;sometreecanbeimplementedbyarray,suchascompletebinarytree.Sequentialtreeimplementationisanothertre
4、eimplementationmethod.Generaltreeimplementationcanbeasfollowing:parentpointerimplementation,implementationoflistofchildren,Left-Child/Right-Siblingimplementation;Dynamicnodeimplementation,andsoon.[1]Thispaperpresentsanewtreeimplementationmethod,calledasmatrix-basedimplementati
5、onmethod,whichcanbeusedtoimplementbinarytree,generaltree,andanykingsoftrees.Matrix-basedimplementationmethodismoreefficientandspacesavedcomparingtheimplementationmethodsused.Matrix-basedimplementationmethodisbasedonmultilevelmarktheory.[2-5]First,wediscussthederivationofthemet
6、hod;thendiscussmatrix-basedimplementationmethods;thelastpartisconclusion.2Derivationofmatrix-basedimplementationmethodTheideaofmatrix-basedimplementationmethodisgeneratedintheprocedureofmarkingasequencebymultilevelmark.Therefore,weshoulddiscusswhatmultilevelmarkis.[3]Theproced
7、uretodistinguishtheobjectsintoobjectgroupsinanobjectsequenceaccordingtosomeruleriscalledobjectgrouping.Binary0and1arecalledas0markand1markrespectively.Nextisoneofmultilevelmarkrules.Right1multilevelmarkrule:therightmostobjectinanobjectgroupmarkedwith1mark;theotherNobjectsinthe
8、objectgroupmarkedwith0mark;1Markiscalledasgrouprepresentative
