Entropy Measures of Topological Indices Based Molecular Structure of Benzenoid Systems

Abstract

Graph theory plays a significant role in the applications of chemistry, pharmacy, communication, maps, and aeronautical fields. A benzenoid is a class of chemical compounds with at least one benzene ring(hexagon as a graph) and resonance bonds in the benzene ring give increased stability in benzenoids. The molecules of chemical compounds are modeled as a graph to study the properties of the compounds. The geometric structure of the compound relates to a few physical properties such as boiling point, enthalpy, π-electron energy, and molecular weight. Entropy is a thermodynamic function in physics that measures the randomness and disorder of molecules in a particular system or process based on the diversity of configurations that molecules might take. Degree-based entropy is used to address a wide range of problems in the domains of mathematics, biology, chemical graph theory, organic and inorganic chemistry, and other disciplines. This paper focusses on computing analytical expressions of degree-based entropy measures for benzenoid systems.

Keywords:

• Degree-based entropy
• edge weight-based entropy
• benzenoid systems

AMS SUBJECT CLASSIFICATION:

• 05C92
• 92E10

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

The first author is supported by the Natural Science Foundation of Anhui Province Higher School [KJ2020A0780, 2022AH051859, 2022AH051864].