Zagreb indices and Zagreb coindices of the line graphs of the subdivision graphs
Nur Hafiza Azwani Mohd Saidi, Mohamad Nazri Husin, Nur Baini Ismail
Abstract
A graph invariant is one of the tools of topological indices used in chemical graph theory. Recently, most of chemist study in Zagreb indices and Zagreb coindices related to the connectivity of atom in molecular graph. Represented as graph, G. In this paper, we study two families of Polyphenylene dendrimers, namely D1[n] and D2[n]. We also compute their topological indices, Zagreb indices and Zagreb coindices based on the concept of the line graphs of the subdivision graphs. Furthermore, we give closed analytical results of these indices for graphs D1[n] and D2[n].
Topics & Concepts
SubdivisionLine graphCombinatoricsTopological indexMathematicsPathwidthGraphDiscrete mathematics1-planar graphGeographyArchaeologyGraph theory and applicationsComputational Drug Discovery MethodsSynthesis and Properties of Aromatic Compounds