Abstract
Abstract In the modern era of the chemical science, the chemical graph theory has contributed significantly to exploring the properties of the chemical compounds. Currently, the computation of the topological indices is one of the most active directions of the research in the area of the chemical graph theory. The main feature of the study of the topological indices is its its ability of predicting the various physio-chemical properties. In this article, we compute several degree-based topological indices for the caboxy-terminated dendritic macromolecule. We compute Harmonic index, atom-bond connectivity index, geometric arithmetic index, sum connectivity index, inverse sum index, symmetric division degree, and Zagreb indices for caboxy-terminated dendritic macromolecule. The obtained results have potential to predict biochemical properties such as viscosity, entropy, and boiling point.
Highlights
In the modern era of the chemical science, the chemical graph theory has contributed significantly to exploring the properties of the chemical compounds
The sum connectivity index was introduced in Zhou and Trinajstic (2009), which is given by the formula: (4)
In 2010, two more topological indices were introduced by Vukicevic and Gasperov (2010) and Vukicevic (2010), which are named inverse sum index and symmetric division degree index, respectively: (5)
Summary
In the modern era of the chemical science, the chemical graph theory has contributed significantly to exploring the properties of the chemical compounds. More topological indices (invariants) have been defined over the last few decades, which are useful in approximating the biochemical properties of molecular structures. In 2010, two more topological indices were introduced by Vukicevic and Gasperov (2010) and Vukicevic (2010), which are named inverse sum index and symmetric division degree index, respectively: (5)
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