一些特殊图的3-彩虹控制数-(5387)

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3、iedinmanyfieldssuchasComputerScience,OperationsResearch,ManagementScience.Rainbowcontrolproblemisoneoftheextensiondevelopmentoftheclassicalcontrolproblems.Atthepresentstage,theRainbowdominationnumberresearchesmainlyconcentrateonfindingboundsof2-Rainbowdominationn

4、umber.Ithasmadegreatachievementaswell.Nonetheless,therearestillfewerresearcheson3-rainbowdominationnumber.Inthispaper,wefocusonfindingtheboundsof3-rainbowdominationofsomespecialgraphs.Firstwegiveanupperboundforthe3-rainbowdominationnumberofTreeswithsmalldiameterb

5、ytheconstructionmethod.Second,wegiveanupperboundonthe3-rainbowdominationnumberoftreeswithordern>5byinductionandtheideaofclassificationdiscussion.Finally,wegivea3-rainbowdominationnumberofGirdsandLinesthroughassignmentmethod.Inaddition,wehavemadesomeimprovementint

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