M-polynomial and topological indices Poly (EThyleneAmidoAmine) dendrimers
Murat Cancan, Süleyman Ediz, Hafiz Mutee ur Rehman, Deeba Afzal
Abstract
Dendrimers are constructed by the successive addition of layers of branching groups. Topological indices are numerical numbers associated which are graph invariant up to isomorphism. In this report, we give closed form of M-polynomial of PETAA dendrimers and from this M-polynomial, we recover many topological indices. These topological indices help to predict physcio-chemical properties of the underling dendrimers, and help to the study of the properties of the materials of ship building. We also give graphical representation of our results.
Topics & Concepts
DendrimerBranching (polymer chemistry)Topological indexIsomorphism (crystallography)MathematicsPolynomialRepresentation (politics)GraphTopology (electrical circuits)Invariant (physics)Pure mathematicsDiscrete mathematicsCombinatoricsChemistryMathematical analysisPolymer chemistryCrystallographyLawCrystal structurePolitical scienceOrganic chemistryMathematical physicsPoliticsGraph theory and applicationsComputational Drug Discovery MethodsSynthesis and Properties of Aromatic Compounds