Keywords:-

Keywords: alpha Gourava index, gamma Gourava index, nanotube.

Article Content:-

Abstract

In this paper, we introduce the alpha Gourava and gamma Gourava indices of a graph. Also we compute the alpha and gamma Gourava indices of some standard graphs, armchair polyhex nanotubes and zigzag polyhex nanotubes.

References:-

References

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

V.R. Kulli, Graphs indices, in Hand Book of Research in Advanced Applications of Graph Theory in Modern Society, M.Pal, S.Samanta, A.Pal (eds.) IGI Global, USA (2020) 66-91.

V.R.Kulli, K-edge index of some nanostructures, Journal of Computer and Mathematical Sciences, 7(7) (2016) 373-378.

V.R. Kulli New Kulli-Basava indices of graphs, International Research Journal of Pure Algebra, 9(7) (2019) 58-63.

V.R.Kulli, Geometric-quadratic and quadratic-geometric indices, Annals of Pure and Applied Mathematics, 25(1) (2022) 1-5. DOI: http://dx.doi.org/10.22457/apam.v25n1a01854.

V.R.Kulli, New direction in the theory of graph index in graphs, International Journal of Engineering Sciences & Research Technology, 11(12) (2022) 1-8. DOI: 10.5281/zenodo.7505790.

I.Gutman and N.Trinajstic, Graph theory and molecular orbitals. Total π-electron energy of alternant hydrocarbons, Chem. Phys. Let. 17 (1972) 535-538.

B. Furtula and I. Gutman, A forgotten topological index, J. Math. Chem. 53 (2015), 1184-1190.

A.Alameri, N.Al-Naggar, M.Al-Rumaima and M.Alsharafi, Y-index of some graph operations, Int. J. of Applied Engineering Research, 15(2) (2020) 173-179.

X. Li and H. Zhao, Trees with the first three smallest and largest generalized topological indices, MATCH Commun. Math. Comput. Chem. 50(2004) 57-62.

V.R.Kulli, The Gourava indices and coindices of graphs, Annals of Pure and Applied Mathematics, 14(1), (2017) 33-38. DOI: http://dx.doi-org/10.22457/apam.v14n1a4

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.

V.R.Kulli, G.N.Adithya and N.D.Soner, Gourava indices of certain windmill graphs, International Journal of Mathematics Trends and Technology, 68(9) (2022) 51-59. https://doi.org/ 10.14445/22315373/IJMTT-V68I9P508.

V.R.Kulli, Gourava Sombor indices, International Journal of Engineering Sciences & Research Technology, 11(11) (2022) 29-38. DOI: 10.5281/zenodo.7505774.

V.R. Kulli, Gourava Nirmala indices of certain nanostructures, International Journal of Mathematical Archive, 14(2) (2023) 1-9.

V.R.Kulli, Gourava domination indices of graphs, International Journal of Mathematics and Computer Research, 11(8) (2023) 3680-3684. DOI:10.47191/ijmcr/v11i8.08.

V.R.Kulli, Sum and product connectivity Gouravs domination indices of graphs, International Journal of Mathematics and Statistics Invention, 11(4) (2023) 35-43. DOI:10.35629/4767-11043543.

V.R.Kulli, On hyper Gourava domination indices, International Journal of Engineering Sciences & Research Technology, 12(10) (2023) 12-20. DOI: 10.5281/zenodo.10036777.

K.G.Mirajkar and B.Pooja, On Gourava indices of som chemical graphs, International Journal of Applied Engineering research, 14(3) (2019) 743-749.

P.Poojary, A.Raghavendra, B.G.Shenoy, M.R.Farahani and B.Sooryanarayana, Certain topological indices and polynomials for the Isaac graphs, Journal of Discrete Mathematical Sciences &Cryptography, 24(2) (2021) 511-525.

Qi-Zhao Li, A.Virk, K.Nazar, I.Ahmed and I.Tlili, Valency based descriptors for silicon carbides bismuth (III) iodide and dendrimers in drug applications, Journal of Chemistry, vol. 2020, article ID 8616309, 17 pages.

M.C.Shanmukha, K.N.Anilkumar, N.S.Basavarajappa and K.M.Niranjan, Topological indices on properties of line graph of subdivision of plane graphs, Advances in Mathematics: Scientific Journal 9(4) (2020) 2121-2135.

Y.Wang, S.Kanwal, M.Liaqat, A.Aslam and U.Bashir, On second Gourava invariant for q-apex trees, Journal of Chemistry, vol. 2022, Article ID 7513770, 7 pages.

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How to Cite
Kulli, V. R. (2024). On Alpha and Gamma Gourava Indices. International Journal Of Mathematics And Computer Research, 12(4), 4139-4144. https://doi.org/10.47191/ijmcr/v12i4.04

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