Graph Labelled Topological Indices of Gaseous Alkanes and Their Environmental Implications

IJEP 45(2): 168-178 : Vol. 45 Issue. 2 (February 2025)

Anjali Trivedi and Paresh Andharia*

M.K. Bhavnagar University, Department of Mathematics, Bhavnagar –  364 001, Gujarat, India

Abstract

Gaseous alkanes, such as methane, ethane, propane and butane, are classified as volatile organic compounds that contribute to air pollution. Efforts to reduce air pollution often involve implementing cleaner technologies for predictive models. In this view, we have evaluated the density-based topological indices of these gaseous alkanes using graceful and biconditional cordial labelling, hypothesizing that by using them as predictors, more informed machine learning decisions can be made in various industries ranging from petroleum to environmental policymaking. The properties of alkanes, like the heat of combustion, OH reactivity, density and energy, are highly correlated with our calculated density-based topological indices, which underscores the application and implications of our work. By exploring the connection between chemical graph theory and the environmental influences of gaseous alkanes, we pave the way for predictive models and sustainable practices using graph labelling in the chemical industry. This investigation is the groundwork that provides new insights for future studies to build refining predictive models and advance environmental protection policies regarding hydrocarbons.

Keywords

Chemical graph theory, Graceful labelling, Biconditional cordial labelling, Topological indices, Linear regression model

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