Geometric-arithmetic index-energy predicting the physical properties of alkanes

Articles in Press

Document Type : Original paper

Authors

1 Department of Mathematics, Samarkand International University of Technology, Samarkand 140100, Uzbekistan

2 Polytechnique Montreal, Montreal, QC, Canada

3 Department of Mathematical and Natural Sciences, Prince Mohammad Bin Fahd University, P.O. Box 1664, Al Khobar 31952, Saudi Arabia

4 RISE, MASEP Group, University of Sharjah, Sharjah 27272, UAE

Abstract

The topological indices play a crucial role in generating the weighted adjacency matrix, which exhibits significant diversity from both theoretical and application perspectives compared to the ordinary adjacency matrix. One such notable weighted matrix is the geometric-arithmetic matrix, generated from the well-known GA (geometric-arithmetic) index. Here, we focus on a comparative study of the GA index and the geometric-arithmetic energy GAE. We establish several tight bounds on GAE involving various graph invariants and identify the corresponding extremal graphs. Additionally, we compare the correlation of the molecular property Bp (boiling point) with GA and GAE. Our findings reveal that the Bp shows good correlation with GAE than with GA index. Furthermore, we examine the role of GAE in explaining different properties of drugs associated with kidney disease.

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References

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Communications in Combinatorics and Optimization

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Available Online from 30 December 2024

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