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1、538IEEETRANSACTIONSONPATTERNANALYSISANDMACHINEINTELLIGENCE,VOL.PAMI-8,NO.4,JULY1986ItcanbeproventhatcoloredgraphsandgraphmorphismsdefineaACKNOWLEDGMENTcategory.Especially,thereexistsanidentitymorphismandanas-TheauthorsaregratefultoR.Marty,J.Nievergelt,M.Reimer,sociativelawofcompos
2、itionofgraphmorphisms.andD.SteinerfortheircriticalcommentsonanearlierversionofAgraphproductionp=(PI,P2)consistsoftwographsB1andthispaper.B2togetherwithasetofgluingpointsKandtwoinjectivegraphmorphismsp1:K--B1andP2:K--B2.TheproductionpmaybeREFERENCESwrittenintheformp:B1--B2whereKand
3、themappingsK-bB1[11L.M.Brodie,"Onmodelingbehaviouralsemanticsofdatabases,"andK-*B2arereplacedbynaturalnumbersattachedtothever-inProc.Conf.VeryLargeDataBases,Cannes,France,1981,pp.ticesindicatingcorrespondinggluingpoints.32-42.AgraphHisadirectdeviationofgraphGifthereexistsapro-[2]J
4、.R.Abrial,"Datasemantics,"inDataBaseManagement,J.W.ductionB1--K--B2withanextensiond:K--DsuchthattheKlimbieandK.L.Koffeman,Eds.Amsterdam,TheNetherlands:followingdiagramiscommutative:North-Holland,1974,pp.1-59.PIP2131H.LevesqueandJ.Mylopoulos:"Aproceduralsemanticsforse-B1<-KB2mantic
5、networks,"inAssociativeNetworks,N.Findler,Ed.NewYork:Academic,1979,pp.93-120.[41V.DeAntonellisandB.Zonta,"Modellingeventsindatabaseap-(**)gdIhq(*)plicationsdesign,"inProc.Conf.VeryLargeDataBases,Cannes,France,1981,pp.23-31.qlq2Gi0DoH[5]R.M.Haralick,"Aspatialdatastructureforgeograp
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7、s,bothabovegluingdiagrams(*)Systems),vol.14,no.11,Nov.1981.and(**)arenothingelsebutpushoutsofcoloredgraphs.Thus[7]G.NagyandS.Wagle,"Geographicdataprocessing,"Comput.Sur-basedontheright(*)orleft(**)diagramwemaydefinetogetherveys,vol.11,no.2,pp.139-181,1979.18]R.A.LorieandA.Meier,"U
8、singarelationalDBMSforgeograph-wi