Chemical Relevance and Expected Values of K-Banhatti Indices ‎for Random Cyclodecane Chains

  • Authors

    • Priyanka Agarwal Department of Mathematics, Dibrugarh University, Dibrugarh, India, 786004
    • A. Bharali Department of Mathematics, Dibrugarh University, Dibrugarh, India, 786004
    https://doi.org/10.14419/1hbdss79

    Received date: June 13, 2025

    Accepted date: July 19, 2025

    Published date: July 27, 2025

  • Chemical Graph Theory;‎ Topological Indices;‎ Cyclodecane Chains;‎ Genes;‎ Pharmacogenomics;‎ Expected Values;‎ Comparisons

  • Abstract

    Cyclodecane, a remarkable cyclic hydrocarbon, comprises larger ‎molecular structures or polymers formed by interlinking multiple ‎cyclodecane rings. These interactions are crucial in ‎pharmacogenomics, as the strategic design of a compound decisively ‎influences its interactions with gene products, including enzymes and ‎receptors. In the dynamic field of mathematical chemistry, chemical ‎graph theory plays a crucial role in enhancing our understanding of ‎the complex properties of chemical compounds. Currently, one of the ‎most promising areas of research involves the calculation of ‎topological indices. Among these indices, the First K hyper-Banhatti ‎index, Second K hyper-Banhatti index, Modified first K-Banhatti index, ‎and Modified second K-Banhatti index serve as important topological ‎descriptors that significantly contribute to our analysis of the ‎physicochemical, biological, and structural characteristics of chemical ‎compounds. This article aims to determine the expected values of ‎these topological descriptors for random cyclodecane chains, ‎presenting our findings in significant numerical tables and insightful ‎graphical representations. Through this exploration, we aim to deepen ‎our appreciation of how these descriptors impact the fundamental ‎properties of chemical compounds, paving the way for future ‎discoveries in this compelling field.

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  • How to Cite

    Agarwal, P. . ., & Bharali , A. . (2025). Chemical Relevance and Expected Values of K-Banhatti Indices ‎for Random Cyclodecane Chains. International Journal of Basic and Applied Sciences, 14(3), 361-372. https://doi.org/10.14419/1hbdss79