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1、AbstractFourcolortheorem,isalsocalled"fourcolorconjecture(4CC)"andisalsoknownas"fourcolorproblem".Itreferstoamapfilledwithonlyfourcolors,andeachregionofthemapcanbefilledonecolor,andadjacentareasofthemapwithdifferentcolors.Successfullycertificationoffou
2、rcolortheoremmakethecartographyintheefficiencyhasbeengreatlyimproved.So,itismeaningfultofindamorereasonableoptimizationalgorithmtosolvethefourcolorproblemformapcoloring.Traditionalalgorithmscanonlybeappliedtodealwiththesmallerdimensionsproblems.Oncethe
3、problemislarge,Timeconsumingofthealgorithmoftengrowsexponentially.So,itisnecessarytoproposeahighlyintelligentoptimizationalgorithm.Thisarticlehasanalyzedthebackgroundandstatusofresearchingbothathomeandabroadonthefourcolorproblemformapcoloringfirstly,ex
4、pressestheimportanceandpracticalityofsolvingthefourcolorproblemformapcoloringbyanefficientandintelligentoptimizationalgorithm.Thenthearticlehasintroducedtheabstractmodeloffour-colorproblemformapcoloring,proposedthesolution.Throughanalyzedtheprinciplean
5、dprocessoftheexistingsearchalgorithmsthatsuchasgeneticalgorithmandsimulatesannealingalgorithm,thisarticlesummeduptheadvantagesandshortcomingsofthegeneticalgorithmandsimulatedannealingalgorithmwhendealingthefour-colorproblemformapcoloringseparately,andt
6、hencomparesthegeneticalgorithmandsimulatedannealingalgorithm.Itdesignedimprovementprocessofgeneticalgorithmnext,anddesignedintegrationprocesswithsimulatedannealingalgorithm,thendevelopedamapcoloringmodule.Throughexperimentsandconvergenceanalysis,itobta
7、inthattheimprovedalgorithmissuperiorthanthestandardgeneticalgorithm.Finally,themodulehasbeenembeddedintheexperimentalplatformandusedintheproductionpracticeofcartography.KeyWords:FourColorProblem;GeneticAlgorithm;SimulatedAnnealingAlgorithm;Fitness;Metr
8、opolisCriterion-II-目錄摘要...........................................................................................................IAbstract.................................................................................................