Keywords:-

Keywords: Kepler Banhatti index, modified Kepler Banhatti index, graph, dendrimer.

Article Content:-

Abstract

We introduce a novel vertex degree based topological index, called Kepler Banhatti index. Also we put forward the modified Kepler Banhatti index of a graph. We propose the Kepler Banhatti and modified Kepler Banhatti exponentials of a graph. In this study, we determine the newly defined the Kepler Banhatti indices and their corresponding exponentials for certain dendrimers. Furthermore, we establish some properties of the Kepler Banhatti index.

References:-

References

V.R.Kulli, College Graph Theory, Vishwa International Publications, Gulbarga, India (2012).

V.R.Kulli, Graph indices, in Hand Book of Research on Advanced Applications of Application Graph Theory in Modern Society, M. Pal. S. Samanta and A. Pal, (eds) IGI Global, USA (2019) 66-91.

I.Gutman and O.E.Polansky, Mathematical Concepts in Organic Chemistry, Springer, Berlin (1986).

V.R.Kulli, Multiplicative Connectivity Indices of Nanostructures, LAP LEMBERT Academic Publishing (2018).

R.Todeschini and V.Consonni, Molecular Descriptors for Chemoinformatics, Wiley-VCH, Weinheim, (2009).

I.Gutman and N.Trinajstic, Graph Theory and Molecular Orbitals. Total phi-electron energy of alternant hydrocarbons, Chemical Physics Letters, 17(4) (1972) 535-538.

T.Doslic, B.Furtula, A.Graovac, I.Gutman, S.Moradi and Z.Yarahmadi, On vertex degree based molecular structure descriptors, MATCH Commun. Math. Comput. Chem. 66 (2011) 613-626.

X.Li and I.Gutman, Mathematical aspects of Randic type molecular structure descriptors, Univ. Kragujevac, Kragujevac, (2006).

I.Gutman and B.Furtula (eds.) Recent results in theory of Randic index, Univ. Kragujevac, Kragujevac, (2008).

I.Gutman, B.Furtula and M.S.Oz, Geometric approach to vertex degree based topological indices-Elliptic Sombor index theory and application, International Journal of Quantum Chemistry, 124(2) (2024) e27151.

G.Almkvist and B.Bemdt, Am.Math. Monthly, 95 (1988) 585.

I.Gutman, V.R.Kulli, B. Chaluvaraju and H.S.Boregowda, On Banhatti and Zagreb indices, Journal of the International Mathematical Virtual Institute, 7(2017) 53-67. DOI: 10.7251/JIMVI17011053G.

V.R.Kulli, Elliptic Revan index and its exponential of certain networks, International Journal of Mathematics and Computer Research, 12(2) (2024) 4055-4061.

M.Aruvi, J.M.Joseph and E.Ramganesh, The second Gourava index of some graph products, Advances in Mathematics: Scientific Journal, 9(12) (2020) 10241-10249.

G.N.Adithya, N.D.Soner and M.Kirankumar, Gourava indices for Jahangir graph and phase transfer catalyst, Journal of Emerging Technologies and Innovative Research, 10(6) (2023) f394-f399.

B.Basavanagoud and S.Policepatil, Chemical applicability of Gourava and hyper Gourava indices, Nanosystems: Physics, Chemistry, Mathematics, 12(2) (2021) 142-150.

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Kulli, V. R. (2024). Kepler Banhatti and Modified Kepler Banhatti Indices. International Journal Of Mathematics And Computer Research, 12(6), 4310-4314. https://doi.org/10.47191/ijmcr/v12i6.08

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