Neighborhood Dakshayani Indices of Nanostructures
Keywords:
Neighborhood Dakshayani index, F-neighborhood Dakshayani index, general first neighborhood Dakshayani index, nanostructures
Abstract
In this paper, we introduce the total neighborhood Dakshayani index, modified vertex neighborhood Dakshayani index, neighborhood Dakshayani inverse degree, neighborhood Dakshayani zeroth order index, F-neighborhood Dakshayani index and general first neighborhood Dakshayani index of a graph. Furthermore we propose the vertex neighborhood Dakshayani polynomial, total neighborhood Dakshayani polynomial and F-neighborhood Dakshayani polynomial of a graph. We determine exact formulas for line graphs of subdivision graphs of 2-D lattice, nanotube and nanotorus of T UC4C8[p, q].
References
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V. R. Kulli, F-Revan index and F-Revan polynomial of some families of benzenoid systems, Journal of Global Research in Mathematical Archives, 5(11)(2018), 1-6.
V. R. Kulli, Computing the F-ve-degree index and its polynomial of dominating oxide and regular triangulate oxide networks, International Journal of Fuzzy Mathematical Archive, 16(1)(2018), 1-6.
V. R. Kulli, Computing square Revan index and its polynomial of certain benzenoid systems, International Journal of Mathematics Archive, 9(12)(2018), 41-49.
V. R. Kulli, On the square ve-degree index and its polynomial of certain network, Journal of Global Research in Mathematical Archives, 5(10)(2018), 1-4.
V. R. Kulli, Square reverse index and its polynomial of certain networks, International Journal of Mathematical Archive, 9(10)(2018), 27-33.
V. R. Kulli, Reduced second hyper-Zagreb index and its polynomial of certain silicate networks, Journal of Mathematics and Informatics, 14(2018), 11-16.
V. R. Kulli, On KV indices and their polynomials of two families of dendrimers, International Journal of Current Research in Life Sciences, 7(9)(2018), 2739-2744.
V. R. Kulli, Leap hyper-Zagreb indices and their polynomials of certain graphs, International Journal of Current Research in Life Sciences, 7(10)(2018), 2783-2791.
A. Ashrafi and S. Yousefi, Computing Wiener index of TUC4C8(S) nanotorus, MATCH Commun. Math, Comput. Chem., 57(2)(2017), 403-410.
V. R. Kulli, Two new multiplicative atom bond connectivity indices, Annals of Pure and Applied Mathematics, 13(1)(2017), 1-7.
V. R. Kulli, Neighborhood indices of nanostructures, International Journal of Current Research in Science and Technology, 5(3)(2019), 1-14.
V. R. Kulli, Multiplicative neighborhood indices, Annals of Pure and Applied Mathematics, 19(2)(2019), 175-181.
G. Su and L. Xu, Topological indices of the line graph of subdivision graph and their Schur bounds, Appl. Math. Comput., 253(2015), 395-401.
V. R. Kulli, Multiplicative Connectivity Indices of Nanostructures, LAP LEMBERT Academic Publishing, (2018).
R. Todeschini and V. Consonni, Molecular Descriptors for Chemoinformatics, Wiley-VCH, Weinheim, (2009).
V. R. Kulli, Neighborhood Dakshayani indices, submitted.
B. Furtula and I. Gutman, A forgotten topological index, J. Math. Chem., 53(2015), 1184-1190.
N. De, F-index of bridge and chain graphs, Malay. J. Fund. Appl. Malay. Sci., 12(2016), 109-113.
V. R. Kulli, Computing F-reverse index and F-reverse polynomial of certain networks, International Journal of Mathematical Archive, 9(8)(2018), 27-33.
V. R. Kulli, F-Revan index and F-Revan polynomial of some families of benzenoid systems, Journal of Global Research in Mathematical Archives, 5(11)(2018), 1-6.
V. R. Kulli, Computing the F-ve-degree index and its polynomial of dominating oxide and regular triangulate oxide networks, International Journal of Fuzzy Mathematical Archive, 16(1)(2018), 1-6.
V. R. Kulli, Computing square Revan index and its polynomial of certain benzenoid systems, International Journal of Mathematics Archive, 9(12)(2018), 41-49.
V. R. Kulli, On the square ve-degree index and its polynomial of certain network, Journal of Global Research in Mathematical Archives, 5(10)(2018), 1-4.
V. R. Kulli, Square reverse index and its polynomial of certain networks, International Journal of Mathematical Archive, 9(10)(2018), 27-33.
V. R. Kulli, Reduced second hyper-Zagreb index and its polynomial of certain silicate networks, Journal of Mathematics and Informatics, 14(2018), 11-16.
V. R. Kulli, On KV indices and their polynomials of two families of dendrimers, International Journal of Current Research in Life Sciences, 7(9)(2018), 2739-2744.
V. R. Kulli, Leap hyper-Zagreb indices and their polynomials of certain graphs, International Journal of Current Research in Life Sciences, 7(10)(2018), 2783-2791.
A. Ashrafi and S. Yousefi, Computing Wiener index of TUC4C8(S) nanotorus, MATCH Commun. Math, Comput. Chem., 57(2)(2017), 403-410.
V. R. Kulli, Two new multiplicative atom bond connectivity indices, Annals of Pure and Applied Mathematics, 13(1)(2017), 1-7.
V. R. Kulli, Neighborhood indices of nanostructures, International Journal of Current Research in Science and Technology, 5(3)(2019), 1-14.
V. R. Kulli, Multiplicative neighborhood indices, Annals of Pure and Applied Mathematics, 19(2)(2019), 175-181.
G. Su and L. Xu, Topological indices of the line graph of subdivision graph and their Schur bounds, Appl. Math. Comput., 253(2015), 395-401.
How to Cite
V. R. Kulli. (2019). Neighborhood Dakshayani Indices of Nanostructures. International Journal of Current Research in Science and Technology, 5(7), 1-12. Retrieved from https://crst.gfer.org/index.php/crst/article/view/113
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