Keywords:-
Keywords:
domination augmented Banhatti index, domination augmented Banhatti sum index, nanostructure.
Article Content:-
Abstract
In this study, we introduce the domination augmented Banhatti index, domination augmented Banhatti sum index and their corresponding polynomials of a graph. We compute these newly defined domination augmented Banhatti indices for some important chemical drugs such as chloroquine and hydroxychloroquine which are appeared in medical science.
References:-
References
1. V.R.Kulli, College Graph Theory, Vishwa International Publications, Gulbarga, India (2012).
2. V.R.Kulli, Theory of Domination in Graphs, Vishwa International Publications, Gulbarga, India (2010).
3. 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.
4. S.Wagner and H.Wang, Introduction Chemical Graph Theory, Boca Raton, CRC Press, (2018).
5. M.V.Diudea (ed.) QSPR/QSAR Studies by Molecular Descriptors, NOVA New York, (2001).
6. B.Furtula,A.Graovac and D.Vukicevic, Augmented Zagreb index, J. Math. Chem. 48 (2010) 370-380.
7. V.R.Kulli, New augmented Zagreb indices, International of Mathematical Archive, 8(8) (2017) 101-108.
8. T.V.Asha, V.R.Kulli and B.Chaluvaraju, Different types of augmented Zagreb indices of some chemical drugs: A QSPR model, Eurasian Chemical Communications, 4 (2022) 513-524.
9. Y.Huang, B.Liu and L.Gan, Augmented Zagreb index of connected graphs, MATCH Commun. Math. Comput. Chem. 67 (2012) 483-494.
10. V.R.Kulli, ABC Banhatti and augmented Banhatti indices of chemical networks, Journal of Chemistry and Chemical Sciences, 8(8) (2018) 1018-1025.
11. D.Wang, Y.Huang and B.Liu, Bounds on augmented Zagreb index, MATCH Commun. Math. Comput. Chem. 68 (2012) 209-216.
12. V.R.Kulli, Different versions of sum augmented Banhatti index of certain chemical structures, International of Mathematical Archive, 14(3) (2023) 1-9.
13. V.R.Kulli, Multiplicative ABC, GA, AG, augmented and harmonic status indices of graphs, International of Mathematical Archive, 11(1) (2020) 32-40.
14. V.R.Kulli, Sum augmented and multiplicative sum augmented indices of some nanostructures, Journal of Mathematics and Informatics, 24 (2023) 27-31.
15. 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.
16. V.R.Kulli, Domination Nirmala indices of graphs, International Journal of Mathematics and Computer Research, 11(6) (2023) 3497-3502.
17. V.R.Kulli, Multiplicative domination Nirmala indices of graphs, International Journal of Mathematics And its Applications, (2023).
18. V.R.Kulli, Domination Dharwad indices of graphs, submitted.
19. V.R.Kulli, Domination product connectivity indices of graphs, Annals of Pure and Applied Mathematics, (2023).
20. S.Raju, Puttuswamy and S.R.Nayaka, On the second domination hyper index of graph and some graph operations, Advances and Applications in Discrete Mathematics, 39(1) (2023) 125-143.
21. B.Basavanagoud, V.R.Kulli and V.V.Teli, Equitable dominating graph, International Journal of Mathematical Sciences and Engineering Applications, 9(2) (2015) 109-114.
22. V.R.Kulli, The semientire total dominating graph. Advances in Domination Theory-II, (2013) 75-80.
23. V.R.Kulli and B.Janakiram, Global nonsplit domination in graphs, National Academy Science Letters, 28(11/12) (2005) 389.
24. V.R.Kulli and B.Janakiram, The bloch nonsplit domination number of a graph, International Journal of Management of Systems, 20(2004) 219-228.
25. V.R.Kulli and N.R.Nandargi, Inverse domination and some new parameters, Advances in Domination Theory-I, (2012) 121-126.
26. V.R.Kulli and M.B.Kattimani, A note on maximal domination number of a graph, Graph Theory Notes of New York, New YorkAcademy of Sciences, 39 (2000) 35-36,
27. V.R.Kulli and M.B.Kattimani, Global accurate domination in graphs, International Journal of Scientific and Research Publication, 3(10) (2013) 1-3.
28. V.R.Kulli and M.B.Kattimani, Connected accurate domination in graphs, Journal of Computer and Mathematical Sciences, 6(12) (2015) 682-687.
29. V.R.Kulli and R.R.iyer, The total minimal dominating graph, Advances in Domination Theory-I, (2012) 15-24.
30. V.R.Kulli and B.Janakiram, Regular set domination in graphs, National Academy Science Letters (India), 32(11) (2009) 351.
31. B.Basavanagoud, V.R.Kulli and V.V.Teli, Semientire equitable dominating graphs, International Journal of Mathematical Combinatorics, 3 (2014) 49-54.
32. V.R.Kulli, Secure edge domination in graphs, Annals of Pure and Applied Mathematics, 12(1) (2016) 95-99.
33. V.R.Kulli, B.Chaluvaraju and M.Kumar, Graphs with equal secure total domination and inverse secure total domination number, Journal of Information and Optimization Sciences, 39(2) (2018) 467-473.
34. H.Ahmed, A.Alwardi, M.Ruby Salestina and N.D.Soner, Domination, γ-domination topological indices and φ-polynomial of some chemical structures applied for the treatment of COVID-19 patients, Biointerface Research in Applied Chemistry, 11(5) (2021) 13290-13302.
2. V.R.Kulli, Theory of Domination in Graphs, Vishwa International Publications, Gulbarga, India (2010).
3. 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.
4. S.Wagner and H.Wang, Introduction Chemical Graph Theory, Boca Raton, CRC Press, (2018).
5. M.V.Diudea (ed.) QSPR/QSAR Studies by Molecular Descriptors, NOVA New York, (2001).
6. B.Furtula,A.Graovac and D.Vukicevic, Augmented Zagreb index, J. Math. Chem. 48 (2010) 370-380.
7. V.R.Kulli, New augmented Zagreb indices, International of Mathematical Archive, 8(8) (2017) 101-108.
8. T.V.Asha, V.R.Kulli and B.Chaluvaraju, Different types of augmented Zagreb indices of some chemical drugs: A QSPR model, Eurasian Chemical Communications, 4 (2022) 513-524.
9. Y.Huang, B.Liu and L.Gan, Augmented Zagreb index of connected graphs, MATCH Commun. Math. Comput. Chem. 67 (2012) 483-494.
10. V.R.Kulli, ABC Banhatti and augmented Banhatti indices of chemical networks, Journal of Chemistry and Chemical Sciences, 8(8) (2018) 1018-1025.
11. D.Wang, Y.Huang and B.Liu, Bounds on augmented Zagreb index, MATCH Commun. Math. Comput. Chem. 68 (2012) 209-216.
12. V.R.Kulli, Different versions of sum augmented Banhatti index of certain chemical structures, International of Mathematical Archive, 14(3) (2023) 1-9.
13. V.R.Kulli, Multiplicative ABC, GA, AG, augmented and harmonic status indices of graphs, International of Mathematical Archive, 11(1) (2020) 32-40.
14. V.R.Kulli, Sum augmented and multiplicative sum augmented indices of some nanostructures, Journal of Mathematics and Informatics, 24 (2023) 27-31.
15. 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.
16. V.R.Kulli, Domination Nirmala indices of graphs, International Journal of Mathematics and Computer Research, 11(6) (2023) 3497-3502.
17. V.R.Kulli, Multiplicative domination Nirmala indices of graphs, International Journal of Mathematics And its Applications, (2023).
18. V.R.Kulli, Domination Dharwad indices of graphs, submitted.
19. V.R.Kulli, Domination product connectivity indices of graphs, Annals of Pure and Applied Mathematics, (2023).
20. S.Raju, Puttuswamy and S.R.Nayaka, On the second domination hyper index of graph and some graph operations, Advances and Applications in Discrete Mathematics, 39(1) (2023) 125-143.
21. B.Basavanagoud, V.R.Kulli and V.V.Teli, Equitable dominating graph, International Journal of Mathematical Sciences and Engineering Applications, 9(2) (2015) 109-114.
22. V.R.Kulli, The semientire total dominating graph. Advances in Domination Theory-II, (2013) 75-80.
23. V.R.Kulli and B.Janakiram, Global nonsplit domination in graphs, National Academy Science Letters, 28(11/12) (2005) 389.
24. V.R.Kulli and B.Janakiram, The bloch nonsplit domination number of a graph, International Journal of Management of Systems, 20(2004) 219-228.
25. V.R.Kulli and N.R.Nandargi, Inverse domination and some new parameters, Advances in Domination Theory-I, (2012) 121-126.
26. V.R.Kulli and M.B.Kattimani, A note on maximal domination number of a graph, Graph Theory Notes of New York, New YorkAcademy of Sciences, 39 (2000) 35-36,
27. V.R.Kulli and M.B.Kattimani, Global accurate domination in graphs, International Journal of Scientific and Research Publication, 3(10) (2013) 1-3.
28. V.R.Kulli and M.B.Kattimani, Connected accurate domination in graphs, Journal of Computer and Mathematical Sciences, 6(12) (2015) 682-687.
29. V.R.Kulli and R.R.iyer, The total minimal dominating graph, Advances in Domination Theory-I, (2012) 15-24.
30. V.R.Kulli and B.Janakiram, Regular set domination in graphs, National Academy Science Letters (India), 32(11) (2009) 351.
31. B.Basavanagoud, V.R.Kulli and V.V.Teli, Semientire equitable dominating graphs, International Journal of Mathematical Combinatorics, 3 (2014) 49-54.
32. V.R.Kulli, Secure edge domination in graphs, Annals of Pure and Applied Mathematics, 12(1) (2016) 95-99.
33. V.R.Kulli, B.Chaluvaraju and M.Kumar, Graphs with equal secure total domination and inverse secure total domination number, Journal of Information and Optimization Sciences, 39(2) (2018) 467-473.
34. H.Ahmed, A.Alwardi, M.Ruby Salestina and N.D.Soner, Domination, γ-domination topological indices and φ-polynomial of some chemical structures applied for the treatment of COVID-19 patients, Biointerface Research in Applied Chemistry, 11(5) (2021) 13290-13302.
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Kulli, V. R. (2023). Domination Augmented Banhatti, Domination Augmented Banhatti Sum Indices of Certain Chemical Drugs. International Journal Of Mathematics And Computer Research, 11(7), 3558-3564. https://doi.org/10.47191/ijmcr/v11i7.10