Keywords:-
Keywords:
δ vertex degree, delta Banhatti-Sombor indices, network.
Article Content:-
Abstract
Recently, a novel degree concept has been defined in Graph Theory: δ vertex degree of a vertex in a graph. In this paper, the first, second, third, fourth, fifth and sixth delta Banhatti-Sombor indices of a graph are defined by using δ vertex degree concept. Furthermore, we compute these newly defined delta Banhatti-Sombor indices for four families of networks.
References:-
References
1. V.R. Kulli, College Graph Theory, Vishwa International Publications, Gulbarga, India (2012).
2. S.Wagner and H.Wang, Introduction Chemical Graph Theory, Boca Raton, CRC Press, (2018).
3. M.V.Diudea (ed.) QSPR/QSAR Studies by Molecular Descriptors, NOVA New York, (2001).
4. V.R.Kulli, δ-Sombor index and its exponential of certain nanotubes, Annals of Pure and Applied Mathematics, 23(1) (2021) 37-42.
5. V.R.Kulli, δ-Banhatti, hyper δ-Banhatti indices and their polynomials of certain networks, International Journal of Engineering Sciences and Research Technology, 10(3) (2021) 1-8.
6. S.B.B.Altindag, I.Milovannovic and E.Milovanocic M.Matejic, S.Stankov , Remark on delta and reverse degree indices, Sci. Pub. State Univ. Novi Pazar, Ser. A: Appl. Math. Inform. Mech. 15(1) (2022) 37-47.
7. V.R.Kulli, Delta atom bond connectivity indices of certain networks, International Journal of Mathematics and its Applications, 11(4) (2023) 89-98.
8. V.R.Kulli, On delta harmonic and multiplicative delta harmonic indices of some nanostructures, International Journal of Mathematics and Statistics Invention, 11(5) (2023) 38-45.
9. V.R.Kulli, Delta F, modified delta Sombor and delta sigma indices of certain nanotubes and networks, International Journal of Mathematics and Computer Research, 11(10) (2023) 3813-3820.
10. B.K.Majhi, V.R.Kulli and I.N.Cangul, Sum connectivity delta Banhatti and product connectivity delta Banhatti indices of certain nanotubes, submitted.
11. V.R.Kulli, On Delta Nirmala and multiplicative delta Nirmala indices of certain nanotubes, Annals of Pure and Applied Mathematics, (2023).
12. E.Milovannovic and I.Milovanocic, M.Matejic, S.Stankov and S.B.B.Altindag , Bounds for the reverse (delta) first Zagreb indices, Sci. Pub. State Univ. Novi Pazar, Ser. A: Appl. Math. Inform. Mech. 15(1) (2023) 49-59.
13. S.Alikhani and N.Ghanbari, Sombor index of polymers, MATCH Commun. Math. Comput. Chem. 86 (2021).
14. R.Cruz, I.Gutman and J.Rada, Sombor index of chemical graphs, Appl. Math. Comput. 399 (2021) 126018.
15. H.Deng, Z.Tang and R.Wu, Molecular trees with extremal values of Sombor indices, Int. J. Quantum Chem.DOI: 10.1002/qua.26622.
16. I.Gutman, Sombor indices-back to geometry, Open Journal of Discrete Applied Matematics,5(2) (2022) 1-5.
17. I.Gutman, I.Redzepovic and V.R.Kulli, KG-Sombor index of Kragujevac trees, Open Journal of Discrete Applied Matematics,5(2) (2022) 19-25.
18. B.Horoldagva and C.Xu, On Sombor index of graphs, MATCH Commun. Math. Comput. Chem. 86 (2021).
19. V.R.Kulli, Neighborhood Sombor indices, International Journal of Mathematics Trends and Technology, 68(6) (2022) 195-204.
20. V.R.Kulli, Computation of reduced Kulli-Gutman Sombor index of certain networks, Journal of Mathematics and Informatics, 23 (2022) 1-5.
21. V.R.Kulli, Multiplicative KG Sombor indices of some networks, International Journal of Mathematics Trends and Technology, 68(10) (2022) 1-7.
22. 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.
23. 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.
24. 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.
25. 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.
26. V.R.Kulli, F-Sombor and modified Sombor indices of certain nanotubes, Annals of Pure and Applied Mathematics, 27(1) (2023) 13-17.
27. V.R.Kulli, Gourava Sombor indices, International Journal of Engineering sciences and Research Technology, 11(11) (2023) 29-38.
28. 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.
29. V.R.Kulli, Irregularity domination Nirmala and domination Sombor indices of certain drugs, International Journal of Mathematical Archive, 14(8) (2023) 1-7.
30. V.R.Kulli, Modified domination Sombor index and its exponential of a graph, International Journal of Mathematics and Computer Research, 11(8) (2023) 3639-3644.
31. 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.
2. S.Wagner and H.Wang, Introduction Chemical Graph Theory, Boca Raton, CRC Press, (2018).
3. M.V.Diudea (ed.) QSPR/QSAR Studies by Molecular Descriptors, NOVA New York, (2001).
4. V.R.Kulli, δ-Sombor index and its exponential of certain nanotubes, Annals of Pure and Applied Mathematics, 23(1) (2021) 37-42.
5. V.R.Kulli, δ-Banhatti, hyper δ-Banhatti indices and their polynomials of certain networks, International Journal of Engineering Sciences and Research Technology, 10(3) (2021) 1-8.
6. S.B.B.Altindag, I.Milovannovic and E.Milovanocic M.Matejic, S.Stankov , Remark on delta and reverse degree indices, Sci. Pub. State Univ. Novi Pazar, Ser. A: Appl. Math. Inform. Mech. 15(1) (2022) 37-47.
7. V.R.Kulli, Delta atom bond connectivity indices of certain networks, International Journal of Mathematics and its Applications, 11(4) (2023) 89-98.
8. V.R.Kulli, On delta harmonic and multiplicative delta harmonic indices of some nanostructures, International Journal of Mathematics and Statistics Invention, 11(5) (2023) 38-45.
9. V.R.Kulli, Delta F, modified delta Sombor and delta sigma indices of certain nanotubes and networks, International Journal of Mathematics and Computer Research, 11(10) (2023) 3813-3820.
10. B.K.Majhi, V.R.Kulli and I.N.Cangul, Sum connectivity delta Banhatti and product connectivity delta Banhatti indices of certain nanotubes, submitted.
11. V.R.Kulli, On Delta Nirmala and multiplicative delta Nirmala indices of certain nanotubes, Annals of Pure and Applied Mathematics, (2023).
12. E.Milovannovic and I.Milovanocic, M.Matejic, S.Stankov and S.B.B.Altindag , Bounds for the reverse (delta) first Zagreb indices, Sci. Pub. State Univ. Novi Pazar, Ser. A: Appl. Math. Inform. Mech. 15(1) (2023) 49-59.
13. S.Alikhani and N.Ghanbari, Sombor index of polymers, MATCH Commun. Math. Comput. Chem. 86 (2021).
14. R.Cruz, I.Gutman and J.Rada, Sombor index of chemical graphs, Appl. Math. Comput. 399 (2021) 126018.
15. H.Deng, Z.Tang and R.Wu, Molecular trees with extremal values of Sombor indices, Int. J. Quantum Chem.DOI: 10.1002/qua.26622.
16. I.Gutman, Sombor indices-back to geometry, Open Journal of Discrete Applied Matematics,5(2) (2022) 1-5.
17. I.Gutman, I.Redzepovic and V.R.Kulli, KG-Sombor index of Kragujevac trees, Open Journal of Discrete Applied Matematics,5(2) (2022) 19-25.
18. B.Horoldagva and C.Xu, On Sombor index of graphs, MATCH Commun. Math. Comput. Chem. 86 (2021).
19. V.R.Kulli, Neighborhood Sombor indices, International Journal of Mathematics Trends and Technology, 68(6) (2022) 195-204.
20. V.R.Kulli, Computation of reduced Kulli-Gutman Sombor index of certain networks, Journal of Mathematics and Informatics, 23 (2022) 1-5.
21. V.R.Kulli, Multiplicative KG Sombor indices of some networks, International Journal of Mathematics Trends and Technology, 68(10) (2022) 1-7.
22. 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.
23. 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.
24. 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.
25. 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.
26. V.R.Kulli, F-Sombor and modified Sombor indices of certain nanotubes, Annals of Pure and Applied Mathematics, 27(1) (2023) 13-17.
27. V.R.Kulli, Gourava Sombor indices, International Journal of Engineering sciences and Research Technology, 11(11) (2023) 29-38.
28. 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.
29. V.R.Kulli, Irregularity domination Nirmala and domination Sombor indices of certain drugs, International Journal of Mathematical Archive, 14(8) (2023) 1-7.
30. V.R.Kulli, Modified domination Sombor index and its exponential of a graph, International Journal of Mathematics and Computer Research, 11(8) (2023) 3639-3644.
31. 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.
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Kulli, V. (2023). Delta Banhatti-Sombor Indices of Certain Networks. International Journal Of Mathematics And Computer Research, 11(11), 3875-3881. https://doi.org/10.47191/ijmcr/v11i11.07
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