Abstract
A topological index is a characteristic value which represents some structural properties of a chemical graph. We study strong double graphs and their generalization to compute Zagreb indices and Zagreb coindices. We provide their explicit computing formulas along with an algorithm to generate and verify the results. We also find the relation between these indices. A 3D graphical representation and graphs are also presented to understand the dynamics of the aforementioned topological indices.
Highlights
Chemical graph theory is an important topological field of mathematical chemistry that deals with mathematical modelling of chemical compound structures
We use the concept of edge partition to reduce computation complexity and obtain computing formulas for these indices
We study the first and second Zagreb indices of the strong double graph
Summary
Chemical graph theory is an important topological field of mathematical chemistry that deals with mathematical modelling of chemical compound structures. Published work [6, 7] motivated us to further investigate the Zagreb indices and coindices of strong double graphs. We study Zagreb indices and Zagreb coindices of strong double graphs.
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