Keywords:-

Keywords: modified domination Sombor index, modified domination Sombor exponential, domination Sombor exponential, graph.

Article Content:-

Abstract

In this paper, we introduce the modified domination Sombor index and its corresponding exponential of a graph. Also we introduce the domination Sombor exponential of a graph. We compute the modified domination Sombor index and its corresponding exponential for some standard graphs, French windmill graphs, friendship graphs and book graphs. Furthermore, we establish some properties of the domination Sombor index.

References:-

References

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

V.R.Kulli, Theory of Domination in Graphs, Vishwa International Publications, Gulbarga, India (2010).

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

M.V.Diudea (ed.) QSPR/QSAR Studies by Molecular Descriptors, NOVA New York, (2001).

A.M.Hanan Ahmed, A.Alwardi and M.Ruby Salestina, On domination topological indices of graphs, International Journal of Analysis and Applications, 19(1) (2021) 47-64.

S.Raju, Puttuswamy and A.Alsinai, Different type’s domination topological indices of some chemical drugs graph, Eur. Chem. Bull. 12(5) (2023) 4334-4345.

V.R.Kulli, Domination Nirmala indices of graphs, International Journal of Mathematics and Computer Research, 11(6) (2023) 3497-3502.

V.R.Kulli, Multiplicative domination Nirmala indices of graphs, International Journal of Mathematics And its Applications, 11(3) (2023) 11-20.

V.R.Kullli,Domination Dharwad indices of graphs, submitted.

V.R.Kulli, Domination product connectivity indices of graphs, Annals of Pure and Applied Mathematics, 27(2) (2023) 73-78.

V.R.Kulli, Domination augmented Banhatti, domination augmented Banhatti sum indices of certain chemical drugs, International Journal of Mathematics and Computer Research, 11(7) (2023) 3558-3564.

V.R.Kulli, Domination atom bond sum connectivity indices of certain nanostructures, International Journal of Engineering sciences and Research Technology, 11(7) (2023).

V.R.Kulli, Irregularity domination Nirmala and domination Sombor indices of certain drugs, International Journal of Mathematical Archive, submitted.

A.A.Shashidhar. H.Ahmed, N.D.Soner and M.Cancan, Domination version: Sombor index of graphs and its significance in predicting physicochemical properties of butane derivatives, Eurasian Chemical Communications,5 (2023) 91-102.

S.Alikhani and N.Ghanbari, Sombor index of polymers, MATCH Commun. Math. Comput. Chem. 86 (2021).

R.Cruz, I.Gutman and J.Rada, Sombor index of chemical graphs, Appl. Math. Comput. 399 (2021) 126018.

H.Deng, Z.Tang and R.Wu, Molecular trees with extremal values of Sombor indices, Int. J. Quantum Chem.DOI: 10.1002/qua.26622.

I.Gutman, V.R.Kulli and I.Redzepovic, Sombor index of Kragujevac trees, Ser. A: Appl. Math. Inform. And Mech. 13(2) (2021) 61-70.

B.Horoldagva and C.Xu, On Sombor index of graphs, MATCH Commun. Math. Comput. Chem. 86 (2021).

V.R.Kulli, Neighborhood Sombor indices, International Journal of Mathematics Trends and Technology, 68(6) (2022) 195-204.

V.R.Kulli, Computation of reduced Kulli-Gutman Sombor index of certain networks, Journal of Mathematics and Informatics, 23 (2022) 1-5.

V.R.Kulli, Multiplicative KG Sombor indices of some networks, International Journal of Mathematics Trends and Technology, 68(10) (2022) 1-7.

V.R.Kulli and I.Gutman, Sombor and KG Sombor indices of benzenoid systems and phenylenes, Annals of Pure and Applied Mathematics, 26(2) (2022) 49-53.

V.R.Kulli, N.Harish, and B.Chaluvaraju, Sombor leap indices of some chemical drugs, RESEARCH REVIEW International Journal of Multidisciplinary, 7(10) (2022) 158-166.

V.R.Kulli, J.A.Mendez-Bermudez, J.M.Rodriguez and J.M.Sigarreta, Revan Sombor indices: Analytical and statistical study, on random graphs, Mathematical Boisciences and Engineering, 20(2) (2022) 1801-1819.

H.R.Manjunatha, V.R.Kulli and N.D.Soner, The HDR Sombor index, International Journal of Mathematics Trends and Technology, 68(4) (2022) 1-6.

V.R.Kulli, F-Sombor and modified Sombor indices of certain nanotubes, Annals of Pure and Applied Mathematics, 27(1) (2023) 13-17.

V.R.Kulli, Gourava Sombor indices, International Journal of Engineering sciences and Research Technology, 11(11) (2023) 29-38.

V.R.Kulli, Edge version of Sombor and Nirmala indices of some nanotubes and nanotori, International Journal of Mathematics and Computer Research, 11(3) (2023) 3305-3310.

N.N.Swamy, T.Manohar, B.Sooryanarayana and I.Gutman, Reverse Sombor index, Bulletin of the International Mathematical Virtual Institute, 12(2) (2022) 267-272.

V.R.Kulli, The disjoint total domination number of a graph, Annals of Pure and Applied Mathematics, 11(2) (2016) 33-38.

V.R.Kulli, Inverse and disjoint secure dominating sets in graphs, International Journal of Mathematical Archive, 7(8) (2016) 13-17.

V.R.Kulli, On entire domination transformation graphs and fuzzy transformation graphs, International Journal of Fuzzy Mathematical Archive, 8(1) (2015) 43-49.

V.R.Kulli and N.D.Soner, The connected total domination number of a graph, Journal of Analysis and Computation, 2(2) (2006) 183-189.

V.R.Kulli, Inverse and disjoint restrained domination in graphs, International Journal of Fuzzy Mathematical Archive, 11(1) (2016) 9-15.

N.N.Swamy, T.Manohar, B.Sooryanarayana and I.Gutman, Reverse Sombor index, Bulletin of the International Mathematical Virtual Institute, 12(2) (2022) 267-272.

Downloads

Citation Tools

How to Cite
Kulli, V. R. (2023). Modified Domination Sombor Index and its Exponential of a Graph. International Journal Of Mathematics And Computer Research, 11(8), 3639-3644. https://doi.org/10.47191/ijmcr/v11i8.03