如果您无法下载资料，请参考说明：
1、部分资料下载需要金币，请确保您的账户上有足够的金币
2、已购买过的文档，再次下载不重复扣费
3、资料包下载后请先用软件解压，在使用对应软件打开
图的邻点可区别全染色和边染色的综述报告Graphcoloringisafundamentalconceptingraphtheory,whichreferstothetaskofassigningcolorstotheverticesoredgesofagraphsubjecttocertainrestrictions.Graphcoloringhasvariousapplicationsindifferentdomains,suchascomputerscience,socialnetworks,andbiology.Generally,therearetwotypesofgraphcoloring:vertexcoloringandedgecoloring.Vertexcoloringreferstotheassignmentofcolorstotheverticesofagraphsuchthatnotwoadjacentverticessharethesamecolor,whileedgecoloringinvolvesthecoloringofedgeswithdistinctcolorssothatnotwoadjacentedgessharethesamecolor.Inthisreport,wewilldiscussthedifferencebetweenvertexcoloringandedgecoloringandtheirapplications.VertexColoringVertexcoloringisthemostcommonlyusedconceptingraphcoloring.Invertexcoloring,asetofcolorsisassignedtoeachvertexofthegraph,andnotwoadjacentverticescanbeassignedthesamecolor.Theminimumnumberofcolorsrequiredtocoloragraphiscalledthechromaticnumberofthegraph.ThevertexcoloringproblemisNP-hard,whichimpliesthatthereisnoknownefficientalgorithmtofindtheoptimalsolutionforeverygraph.Oneofthemostpopularalgorithmsforvertexcoloringisbasedonthegreedyapproach.Thegreedyalgorithmassignsthecolortotheverticesonebyoneandchoosestheavailablecolorwhichhasbeenassignedtotheminimumnumberofneighboringvertices.Anotheralgorithmforvertexcoloringisthebacktrackingalgorithm,whichisarecursivealgorithmthatexhaustivelysearchesforallpossiblecolorarrangements.Inaddition,thereareseveralheuristicalgorithms,suchasWelshPowellalgorithm,DSATURalgorithmandothersthatcanbeusedtosolvevertexcoloringproblemeffectively.Applicationsofvertexcoloring:Vertexcoloringhasseveralpracticalapplicationsindomainssuchasscheduling,mapcoloring,registerallocation,andtimetabling.Inscheduling,vertexcoloringhelpstominimizethenumberofresourcesandtimerequiredtocompleteasetoftasks.Inmapcoloring,differentcountriesorregionscanbeassigneddifferentcolorstodistinguisheasily.Inregisterallocation,vertexcoloringcanhelptoassigntheregistersinthecomputersystemefficiently.Intimetabling,vertexcoloringcan
立即下载
