EdgeRegularComplexNeutrosophicGraphStructureandit is  Application

S.AngelinKavithaRaj; S.N.SuberBathusha; S.SathamHussain; R.JahirHussain

Authors

S.AngelinKavithaRaj DepartmentofMathematics,SadakathullahAppaCollege,AffiliatedtoManonmaniamSundaranar University,Abishekapatti,Tirunelveli-627012,TamilNadu, India
S.N.SuberBathusha DepartmentofMathematics,SadakathullahAppaCollege, AffiliatedtoManonmaniamSundaranarUniversity,Abishekapatti,Tirunelveli-627012,TamilNadu, India;
S.SathamHussain SchoolofAdvancedScience,DivisionofMathematics,VelloreInstituteofTechnology,Chennai-600127
R.JahirHussain P.G.andResearchDepartmentofMathematics,JamalMohamedCollege,Trichy-620020, TamilNadu, India

Keywords:

SVCNGS,ηJ−edgeregular, totallyηJ−edgeregular,application

Abstract

AmodifiedversionofaNeutrosophicSet(NS),aComplexNeutrosophicSet(CNS)offersamore
accuratedescriptionofambiguoussituationsthanestablishedfuzzysets(FSs). Itiswidelyappliedinuncertain
control.ThisstudyofferstheideaofSingle-ValuedComplexNeutrophilicGraphStructure(SVCNGS).Further
researchisdone intotherelationshipbetweenanηJ−edgeregularSVCNGSdegreeandtheηJ-degreeof a
vertex. Also,we introducethenotionsof totallyηJ−edgeregularandregularηJ−edgeSVCNGS.There is
anexplanationof theconditions inwhichηJ−edgeregularSVCNGSandtotallyηJ−edgeregularSVCNGS
aresame. Moreover, this studyseveral ηJ−edgeregularandtotallyηJ−edgeregularSVCNGSproperties
usinganexample,andwehavediscussedtheirapplicationinSVCNGS.Finally,wedevelopanalgorithmthat
explainsthefundamentalworkingsofourapplication.

Doi: 10.5281/zenodo.10729912