Keywords:-
Keywords:
domination degree, domination Nirmala index, modified domination Nirmala index, graph
Article Content:-
Abstract
In this study, we introduce the domination Nirmala index, modified domination Nirmala index and their corresponding exponentials of a graph.Furthermore, we compute these domination Nirmala indices for some standard graphs, windmill graphs, book graphs.
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. V.R.Kulli, Computing Banhatti indices of networks, International Journal of Advances in Mathematics, 2018(1) 2018) 31-40.
5. V.R.Kulli, Dakshayani indices, Annals of Pure and Applied Mathematics, 18(2) (2018) 139-146.
6. V.R.Kulli, Neighborhood indices of nanostructures, International Journal of Current Research in Life Sciences, 8(1) (2019) 2998-3006.
7. 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.
8. V.R.Kulli, Nirmala index, International Journal of Mathematics Trends and Technology,67(3) (2021) 8-12.
9. V.R.Kulli, V.Lokesha and Nirupadi K, Computation of inverse Nirmala indices of certain nanostructures, International Journal of Mathematical Combinatorics, 2 (2021) 32-39.
10. V.R.Kulli and I.Gutman, On some mathematical properties of Nirmala index, Annals of Pure and Applied Mathematics, 23(2) (2021) 93-99.
11. I.Gutman and V.R.Kulli, Nirmala energy, Open Journal of Discrete Applied Mathematics, 4(2) (2021) 11-16.
12. Mohit R. Nandargi and V.R.Kulli, The (a, b)-Nirmala index, International Journal of Engineering Sciences and Research Technology, 11(2) (2022) 37-42.
13. V.R.Kulli, Neighborhood Nirmala index and its exponential of nanocones and dendrimers, International Journal of Engineering Sciences and Research Technology, 10(5) (2021) 47-56.
14. V.R.Kulli, On multiplicative inverse Nirmala indices, Annals of Pure and Applied Mathematics, 23(2) (2021) 57-61.
15. V.R.Kulli, Different versions of Nirmala index of certain chemical stuctures, International Journal of Mathematics Trends and Technology, 67(7) (2021) 56-63.
16. V.R.Kulli, New irregularity Nirmala indices of some chemical structures, International Journal of Engineering Sciences and Research Technology, 10(8) (2021) 33-42.
17. I.Gutman, V.R.Kulli and I.Redzepovic, Nirmala index of Kragujevac trees, International Journal of Mathematics Trends and Technology, 67(6) (2021) 44-49.
18. V.R.Kulli, B.Chaluvaraju and T.V.Asha, Computation of Nirmala indices of some chemical networks, Journal of Ultra Scientists of Physical Sciences-A, 33(4) (2021) 30-41.
19. V.R.Kulli, Banhatti Nirmala index of certain chemical networks, International Journal of Mathematics Trends and Technology, 68(4) (2022) 12-17.
20. V.R.Kulli, Status Nirmala index and its exponential of a graph, Annals of Pure and Applied Mathematics, 25(2) (2021) 85-90.
21. V.R.Kulli, HDR Nirmala index, International Journal of Mathematics and Computer Research, 10(7) (2022) 2796-2800.
22. V.R.Kulli, Computation of E-Bnhatti Nirmala indices of tetrameric 1,3-Adamantane, Annals of Pure and Applied Mathematics, 26(2) (2022) 119-124.
23. V.R.Kulli, Reverse Nirmala index, International Journal of Engineering Sciences and Research Technology, 10(8) (2022) 12-19.
24. V.R.Kulli, Revan Nirmala index, Annals of Pure and Applied Mathematics, 26(1) (2022) 7-13.
25. V.R.Kulli, Multiplicative Nirmala and Banhatti-Nirmala indices of certain nanostar dendrimers, International Journal of Mathematical Archive, 13(10) (2022) 8-15.
26. V.R.Kulli, Temperature Sombor and Temperature Nirmala indices, International Journal of Mathematics and Computer Research, 10(9) (2022) 2910-2915.
27. V.R.Kulli, Edge versions of Sombor and Nirmala indices of some nanotubes and nanotori, International Journal of Mathematics and Computer Research, 11(3) (2023) 3305-3310.
28. V.R.Kulli, Gourava Nirmala indices of certain nanostructures, International Journal of Mathematical Archive, 14(2) (2023) 1-9.
29. A.H.Karim, N.E.Arif and A.M.Ramadan, The M-Polynomial and Nirmalaindex of certain composite graphs, Tikrit Journal of Pure Science, 27(3) (2022) 92-101.
30. N.K.Raut and G.K.Sanap, On Nirmala indices of carbon nanocone C4[2], IOSR Journal of Mathematics, 18(4) (2022) 10-15.
31. N.F.Yalcin, Bounds on Nirmala energy of graphs, Acta Univ. Sapientiae Informatica, 14(2) (2022) 302-315.
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. V.R.Kulli, Computing Banhatti indices of networks, International Journal of Advances in Mathematics, 2018(1) 2018) 31-40.
5. V.R.Kulli, Dakshayani indices, Annals of Pure and Applied Mathematics, 18(2) (2018) 139-146.
6. V.R.Kulli, Neighborhood indices of nanostructures, International Journal of Current Research in Life Sciences, 8(1) (2019) 2998-3006.
7. 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.
8. V.R.Kulli, Nirmala index, International Journal of Mathematics Trends and Technology,67(3) (2021) 8-12.
9. V.R.Kulli, V.Lokesha and Nirupadi K, Computation of inverse Nirmala indices of certain nanostructures, International Journal of Mathematical Combinatorics, 2 (2021) 32-39.
10. V.R.Kulli and I.Gutman, On some mathematical properties of Nirmala index, Annals of Pure and Applied Mathematics, 23(2) (2021) 93-99.
11. I.Gutman and V.R.Kulli, Nirmala energy, Open Journal of Discrete Applied Mathematics, 4(2) (2021) 11-16.
12. Mohit R. Nandargi and V.R.Kulli, The (a, b)-Nirmala index, International Journal of Engineering Sciences and Research Technology, 11(2) (2022) 37-42.
13. V.R.Kulli, Neighborhood Nirmala index and its exponential of nanocones and dendrimers, International Journal of Engineering Sciences and Research Technology, 10(5) (2021) 47-56.
14. V.R.Kulli, On multiplicative inverse Nirmala indices, Annals of Pure and Applied Mathematics, 23(2) (2021) 57-61.
15. V.R.Kulli, Different versions of Nirmala index of certain chemical stuctures, International Journal of Mathematics Trends and Technology, 67(7) (2021) 56-63.
16. V.R.Kulli, New irregularity Nirmala indices of some chemical structures, International Journal of Engineering Sciences and Research Technology, 10(8) (2021) 33-42.
17. I.Gutman, V.R.Kulli and I.Redzepovic, Nirmala index of Kragujevac trees, International Journal of Mathematics Trends and Technology, 67(6) (2021) 44-49.
18. V.R.Kulli, B.Chaluvaraju and T.V.Asha, Computation of Nirmala indices of some chemical networks, Journal of Ultra Scientists of Physical Sciences-A, 33(4) (2021) 30-41.
19. V.R.Kulli, Banhatti Nirmala index of certain chemical networks, International Journal of Mathematics Trends and Technology, 68(4) (2022) 12-17.
20. V.R.Kulli, Status Nirmala index and its exponential of a graph, Annals of Pure and Applied Mathematics, 25(2) (2021) 85-90.
21. V.R.Kulli, HDR Nirmala index, International Journal of Mathematics and Computer Research, 10(7) (2022) 2796-2800.
22. V.R.Kulli, Computation of E-Bnhatti Nirmala indices of tetrameric 1,3-Adamantane, Annals of Pure and Applied Mathematics, 26(2) (2022) 119-124.
23. V.R.Kulli, Reverse Nirmala index, International Journal of Engineering Sciences and Research Technology, 10(8) (2022) 12-19.
24. V.R.Kulli, Revan Nirmala index, Annals of Pure and Applied Mathematics, 26(1) (2022) 7-13.
25. V.R.Kulli, Multiplicative Nirmala and Banhatti-Nirmala indices of certain nanostar dendrimers, International Journal of Mathematical Archive, 13(10) (2022) 8-15.
26. V.R.Kulli, Temperature Sombor and Temperature Nirmala indices, International Journal of Mathematics and Computer Research, 10(9) (2022) 2910-2915.
27. V.R.Kulli, Edge versions of Sombor and Nirmala indices of some nanotubes and nanotori, International Journal of Mathematics and Computer Research, 11(3) (2023) 3305-3310.
28. V.R.Kulli, Gourava Nirmala indices of certain nanostructures, International Journal of Mathematical Archive, 14(2) (2023) 1-9.
29. A.H.Karim, N.E.Arif and A.M.Ramadan, The M-Polynomial and Nirmalaindex of certain composite graphs, Tikrit Journal of Pure Science, 27(3) (2022) 92-101.
30. N.K.Raut and G.K.Sanap, On Nirmala indices of carbon nanocone C4[2], IOSR Journal of Mathematics, 18(4) (2022) 10-15.
31. N.F.Yalcin, Bounds on Nirmala energy of graphs, Acta Univ. Sapientiae Informatica, 14(2) (2022) 302-315.
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Kulli, V. R. (2023). Domination Nirmala Indices of Graphs. International Journal Of Mathematics And Computer Research, 11(06), 3497-3502. https://doi.org/10.47191/ijmcr/v11i6.05
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