Neighborhood Indices of Nanostructures
Keywords:
F-neighborhood index, general first neighborhood index, nanostructures
Abstract
A topological index is a numerical parameter mathematically derived from the graph structure. In this study, we propose the modified first neighborhood index, neighborhood inverse degree, neighborhood zeroth order index, F-neighborhood index and general first neighborhood index of a graph. Also we introduce the first neighborhood polynomial, total neighborhood polynomial and F-neighborhood polynomial of a graph. Furthermore we compote exact formulas for line graphs of subdivision graphs of 2D-lattice, nanotube and nantorus of T UC4C8[p, q].
References
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V.R. Kulli, College Graph Theory, Vishwa International Publications, Gulbarga, India, (2012).
A. Graovac, M. Ghorbani and M. A. Hosseinzadeh, Computing fifth geometric-arithmetic index of nanostar dendrimers, Journal of Mathematical Nanoscience, 1(1)(2011), 33-42.
V. R. Kulli, General fifth M-Zagreb indices and fifth M-Zagreb polynomials of PAMAM dendrimers, International Journal of Fuzzy Mathematical Archive, 13(1)(2017), 99-103.
V. R. Kulli, Some new multiplicative geometric-arithmetic indices, Journal of Ultra Scientist of Physical Sciences A, 29(2)(2017), 52-57.
V. R. Kulli, Some new fifth multiplicative Zagreb indices of PAMAM dendrimers, Journal of Global Research in Mathematics, 5(2)(2018), 82-86.
B. Basavanagoud, A. P. Barangi and S. M. Hosamani, First neighbourhood Zagreb index of some nanostructures, Proceedings IAM, 7(2)(2018), 178-193.
S. Mondal. N. De and A. Pal, On neighborhood index of product of graphs, ArXiv: 1805.05273vi [Math. Co] 14 May 2018.
A. Ashrafi and S. Yousefi, Computing Wiener index of T UC4C8(S) nanotorus, MATCH Commun. Math. Comput. Chem., 57(2)(2017), 403-310.
V. R. Kulli, Computing fifth arithmetic-geometric index of certain nanostructures, Journal of Computer and Mathematical Sciences, 8(7)(2017), 197-201.
V. R. Kulli, Two new multiplicative atom bond connectivity indices, Annals of Pure and Applied Mathematics, 13(1)(2017), 1-7.
M. F. Nadeem, S. Zafar and Z. Zahid, On certain topological indices of the line graph of subdivision graphs, Appl. Math. Comput., 271(2015), 790-794.
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).
V.R. Kulli, College Graph Theory, Vishwa International Publications, Gulbarga, India, (2012).
A. Graovac, M. Ghorbani and M. A. Hosseinzadeh, Computing fifth geometric-arithmetic index of nanostar dendrimers, Journal of Mathematical Nanoscience, 1(1)(2011), 33-42.
V. R. Kulli, General fifth M-Zagreb indices and fifth M-Zagreb polynomials of PAMAM dendrimers, International Journal of Fuzzy Mathematical Archive, 13(1)(2017), 99-103.
V. R. Kulli, Some new multiplicative geometric-arithmetic indices, Journal of Ultra Scientist of Physical Sciences A, 29(2)(2017), 52-57.
V. R. Kulli, Some new fifth multiplicative Zagreb indices of PAMAM dendrimers, Journal of Global Research in Mathematics, 5(2)(2018), 82-86.
B. Basavanagoud, A. P. Barangi and S. M. Hosamani, First neighbourhood Zagreb index of some nanostructures, Proceedings IAM, 7(2)(2018), 178-193.
S. Mondal. N. De and A. Pal, On neighborhood index of product of graphs, ArXiv: 1805.05273vi [Math. Co] 14 May 2018.
A. Ashrafi and S. Yousefi, Computing Wiener index of T UC4C8(S) nanotorus, MATCH Commun. Math. Comput. Chem., 57(2)(2017), 403-310.
V. R. Kulli, Computing fifth arithmetic-geometric index of certain nanostructures, Journal of Computer and Mathematical Sciences, 8(7)(2017), 197-201.
V. R. Kulli, Two new multiplicative atom bond connectivity indices, Annals of Pure and Applied Mathematics, 13(1)(2017), 1-7.
M. F. Nadeem, S. Zafar and Z. Zahid, On certain topological indices of the line graph of subdivision graphs, Appl. Math. Comput., 271(2015), 790-794.
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 Indices of Nanostructures. International Journal of Current Research in Science and Technology, 5(3), 1-14. Retrieved from https://crst.gfer.org/index.php/crst/article/view/112
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