Edge Version of Multiplicative Connectivity Indices of Some Nanotubes and Nanotorus
Keywords:
Molecular graph, multiplicative sum connectivity index, multiplicative product connectivity index, nanotubes, nanotorus
Abstract
We propose two new connectivity indices the edge version of multiplicative sum connectivity index and the edge version of multiplicative product connectivity index of a molecular graph. In this paper, we compute these indices for some families of nanotubes and nanotorus.
References
V.R.Kulli, College Graph Theory, Vishwa International Publications, Gulbarga, India (2012).
I.Gutman and O.E.Polansky, Mathematical Concepts in Organic Chemistry, Springer, Berlin, (1986).
R.Todeschini and V.Consonni, Molecular Descriptors for Chemoinformatics, Wiley-VCH, Weinheim, (2009).
M. Randic, On characterization of molecular branching, Journal of the American Chemical Society, 97(23)(1975), 6609-6615.
V.R.Kulli, On multiplicative connectivity indices of certain nanotubes, Annals of Pure and Applied Mathematics, 12(2)(2016), 169-176.
M.Eliasi, A.Iranmanesh and I.Gutman, Multiplicative versions of first Zagreb index, MATCH Commun. Math. Comput. Chem., 68(2012), 217-230.
I.Gutman, Multiplicative Zagreb indices of trees, Bull. Soc. Math. Banja Luka, 18(2011), 17-23.
V.R.Kulli, Multiplicative connectivity indices of TUC4C8[m, n] and TUC4[m, n] nanotubes, Journal of Computer and Mathematical Sciences, 7(11)(2016), 599-605.
V.R.Kulli, First multiplicative K Banhatti index and coindex of graphs, Annals of Pure and Applied Mathematics, 11(2)(2016), 79-82.
V.R.Kulli, Second multiplicative K Banhatti index and coindex of graphs, Journal of Computer and Mathematical Sciences, 7(5)(2016), 254-258.
V.R.Kulli, On multiplicative K Banhatti and multiplicative K hyper-Banhatti indices of V-Phenylenic nanotubes and nanotorus, Annals of Pure and Applied Mathematics, 11(2)(2016), 145-150.
V.R.Kulli, Multiplicative connectivity indices of nanostructures, Journal of Ultra Scientist of Physical Sciences, A29(1)(2017), 1-10.
V.R.Kulli, Some new multiplicative geometric-arithmetic indices, Journal of Ultra Scientist of Physical Sciences, A29(2)(2017), 52-57.
V.R.Kulli, A new multiplicative arithmetic-geometric index, International Journal of Fuzzy Mathematical Archive, 12(2)(2017), 49-53.
V.R.Kulli, On K hyper-Banhatti indices and coindices of graphs, International Journal of Mathematical Archive, 7(6)(2016), 60-65.
V.R.Kulli, Multiplicative hyper-Zagreb indices and coindices of graphs: Computing these indices of some nanostructures, International Research Journal of Pure Algebra, 6(7)(2016), 342-347.
V.R.Kulli, The Gourava indices and coindices of graphs, Annals of Pure and Applied Mathematics, 14(1)(2017), 33-38.
V.R.Kulli, Two new multiplicative atom bond connectivity indices, Annals of Pure and Applied Mathematics, 13(1)(2017), 1-7.
V.R.Kulli, New multiplicative arithmetic-geometric indices, Journal of Ultra Scientist of Physical Sciences, A29(6)(2017), 205-211.
V.R.Kulli, B.Stone, S.Wang and B.Wei, Generalized multiplicative indices of polycyclic aromatic hydrocarbons and benzenoid systems, Z. Naturforsch, 72(6)(2017), 573-576.
M.N.Husin, R.Hasni, M.Imran and H.Kamarulhaili, The edge version of geometric-arithmetic index of nanotubes and nanotori, Optoelectron Adv. Mater.-Rapid Comm., 9(9-10) (2015), 1292-1300.
V.R.Kulli, Edge version of F-index, general sum connectivity index of certain nanotubes, Annals of Pure and Applied Mathematics, 14(3)(2017), 449-455.
V.R.Kulli, Edge version of multiplicative atom bond connectivity index of certain nanotubes and nanotorus, submitted.
[
24] V.R.Kulli, Edge version of general reformulated Zagreb index of certain nanotubes and nanotori, submitted.
I.Gutman and O.E.Polansky, Mathematical Concepts in Organic Chemistry, Springer, Berlin, (1986).
R.Todeschini and V.Consonni, Molecular Descriptors for Chemoinformatics, Wiley-VCH, Weinheim, (2009).
M. Randic, On characterization of molecular branching, Journal of the American Chemical Society, 97(23)(1975), 6609-6615.
V.R.Kulli, On multiplicative connectivity indices of certain nanotubes, Annals of Pure and Applied Mathematics, 12(2)(2016), 169-176.
M.Eliasi, A.Iranmanesh and I.Gutman, Multiplicative versions of first Zagreb index, MATCH Commun. Math. Comput. Chem., 68(2012), 217-230.
I.Gutman, Multiplicative Zagreb indices of trees, Bull. Soc. Math. Banja Luka, 18(2011), 17-23.
V.R.Kulli, Multiplicative connectivity indices of TUC4C8[m, n] and TUC4[m, n] nanotubes, Journal of Computer and Mathematical Sciences, 7(11)(2016), 599-605.
V.R.Kulli, First multiplicative K Banhatti index and coindex of graphs, Annals of Pure and Applied Mathematics, 11(2)(2016), 79-82.
V.R.Kulli, Second multiplicative K Banhatti index and coindex of graphs, Journal of Computer and Mathematical Sciences, 7(5)(2016), 254-258.
V.R.Kulli, On multiplicative K Banhatti and multiplicative K hyper-Banhatti indices of V-Phenylenic nanotubes and nanotorus, Annals of Pure and Applied Mathematics, 11(2)(2016), 145-150.
V.R.Kulli, Multiplicative connectivity indices of nanostructures, Journal of Ultra Scientist of Physical Sciences, A29(1)(2017), 1-10.
V.R.Kulli, Some new multiplicative geometric-arithmetic indices, Journal of Ultra Scientist of Physical Sciences, A29(2)(2017), 52-57.
V.R.Kulli, A new multiplicative arithmetic-geometric index, International Journal of Fuzzy Mathematical Archive, 12(2)(2017), 49-53.
V.R.Kulli, On K hyper-Banhatti indices and coindices of graphs, International Journal of Mathematical Archive, 7(6)(2016), 60-65.
V.R.Kulli, Multiplicative hyper-Zagreb indices and coindices of graphs: Computing these indices of some nanostructures, International Research Journal of Pure Algebra, 6(7)(2016), 342-347.
V.R.Kulli, The Gourava indices and coindices of graphs, Annals of Pure and Applied Mathematics, 14(1)(2017), 33-38.
V.R.Kulli, Two new multiplicative atom bond connectivity indices, Annals of Pure and Applied Mathematics, 13(1)(2017), 1-7.
V.R.Kulli, New multiplicative arithmetic-geometric indices, Journal of Ultra Scientist of Physical Sciences, A29(6)(2017), 205-211.
V.R.Kulli, B.Stone, S.Wang and B.Wei, Generalized multiplicative indices of polycyclic aromatic hydrocarbons and benzenoid systems, Z. Naturforsch, 72(6)(2017), 573-576.
M.N.Husin, R.Hasni, M.Imran and H.Kamarulhaili, The edge version of geometric-arithmetic index of nanotubes and nanotori, Optoelectron Adv. Mater.-Rapid Comm., 9(9-10) (2015), 1292-1300.
V.R.Kulli, Edge version of F-index, general sum connectivity index of certain nanotubes, Annals of Pure and Applied Mathematics, 14(3)(2017), 449-455.
V.R.Kulli, Edge version of multiplicative atom bond connectivity index of certain nanotubes and nanotorus, submitted.
[
24] V.R.Kulli, Edge version of general reformulated Zagreb index of certain nanotubes and nanotori, submitted.
How to Cite
V.R.Kulli. (2017). Edge Version of Multiplicative Connectivity Indices of Some Nanotubes and Nanotorus. International Journal of Current Research in Science and Technology, 3(11), 7-15. Retrieved from https://crst.gfer.org/index.php/crst/article/view/105
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