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1、SomeOpenProblemsinGraphTheoryandComputationalGeometryDavidEppsteinUniv.ofCalifornia,IrvineDept.ofInformationandComputerScienceICS200,November9,2001OpenproblemsingraphtheoryandgeometryD.Eppstein,ICS200,11/9/01TwoModelsofAlgorithmsResearchI.Readlotsoftheoryp
2、apersII.Chooseaproblemwithlotsofpreviouswork(evidenceit’sinteresting)III.(optional)AddextracomplicationstotheproblemsoyoucanconvincepeopleyourresultsaremoredifficultthanpreviousworkIII.Findanalgorithmthat’sbetterthanallthepreviousresultsIV.Writeitupandpubl
3、ishitintheoryconferencesandjournalsI.LearnaboutareasoutsideoftheoreticalCSII.ChooseaprobleminoneofthoseapplicationareaswherefasterormoreaccuratesolutionscanmakeapracticaldifferenceIII.AbstractessentialfeaturestogetnewcleantheoreticalproblemIV.Findanalgorit
4、hmthat’sbetterthanallthepreviousresultsV.WriteitupandpublishitintheoryconferencesandjournalsVI.Implementandcommunicateyourresultswiththecommunityyourproblemcamefrom,discoverrelatedproblems,repeatOpenproblemsingraphtheoryandgeometryD.Eppstein,ICS200,11/9/01
5、Theoryfacultyresearch@ICSMikeDillencourtformerlygraphtheoryandgeometry,nowCSN/distributedcomputingDavidEppsteingraphalgorithmsandcomputationalgeometryfiniteelementsimulation,robuststatistics,parametricoptimizationMikeGoodrichalgorithms,efficientuseofmemory
6、hierarchyinformationvisualization,securityDanHirschbergdatacompression,patternmatchingpower-efficientdatatransmissionSandyIranionlinealgorithms,decisionmakingwithuncertaintycachedesign,networkrouting,transportationplanningGeorgeLuekerrandomization,binpacki
7、ngpeer-to-peerfiletransferplanningOpenproblemsingraphtheoryandgeometryD.Eppstein,ICS200,11/9/01SomeactivestudentresearchprojectsDavidHartshortestpathsinroadnetworksandrelatedgeometricgraphs(arrangementsoflinesandlinesegments)JavidHuseynovinvestigatingcombi
8、natoricsofpointandlineconfigurationsdynamicprogrammingspeedupsoverbruteforceenumerationSergeiKirschnerimplementandtestsupport-vector-machinealgorithmsimproveefficiencyofmachinelearningproceduresAnnaKolesniche
