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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 66 | Issue 6 | Year 2020 | Article Id. IJMTT-V66I6P513 | DOI : https://doi.org/10.14445/22315373/IJMTT-V66I6P513

Computation of Distance Based Connectivity Status Neighborhood Dakshayani Indices


V.R. Kulli
Abstract

Connectivity indices are applied to measure the chemical characteristics of chemical compounds in Chemical Sciences. In this paper, we introduce the sum and product status neighborhood Dakshayani indices, modified first and second status neighborhood Dakshayani indices, general first and second status neighborhood Dakshayani indices, atom bond connectivity status neighborhood Dakshayani index, geometricarithmetic status neighborhood Dakshayani index of a graph and compute exact formulas for complete, complete bipartite, wheel and friendship graphs.

Keywords
distance, status, connectivity status neighborhood Dakshayani indices, graph.
References

[1] V.R.Kulli, College Graph Theory, Vishwa International Publications, Gulbarga, India (2012).
[2] I. Gutman and O.E. Polansky, Mathematical Concepts in Organic Chemistry, Springer, Berlin (1986).
[3] V.R.Kulli, Multiplicative Connectivity Indices of Nanostructures, LAP LEMBERT Academic Publishing, (2018).
[4] 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 (2020) 66-91.
[5] V.R.Kulli, Some new status indices of graphs, International Journal of Mathematics Trends and Technology, 65(10) (2019) 70-76.
[6] V.R.Kulli, Some new multiplicative status indices of graphs, International Journal of Recent Scientific Research, 10, 10(F) (2019) 35568-35573.
[7] V.R.Kulli, Computation of status indices of graphs, International Journal of Mathematics Trends and Technology, 65(12) (2019) 54-61.
[8] V.R.Kulli, The (a, b)-status index of graphs, Annals of Pure and Applied Mathematics 21(2) (2020) 103-108.
[9] V.R.Kulli, Computation of ABC, AG and augmented status indices of graphs, International Journal of Mathematical Trends and Technology, 66(1) (2020) 1-7.
[10] V.R.Kulli, Status Gourava indices of graphs, International Journal of Recent Scientific Research, 11, 1(A) (2020) 36770-36773.
[11] V.R.Kulli, Multiplicative ABC, GA, AG, augmented and harmonic status indices of graphs, International Journal of Mathematical Archive, 11(1) (2020) 32-40.
[12] V.R.Kulli, Computation of status neighborhood indices of graphs, International Journal of Recent Scientific Research, 11(4) (2020) 38079-38085.
[13] V.R.Kulli, Computation of multiplicative status indices of graphs, International Journal of Mathematical Archive, 11(4) (2020) 1-6.
[14] V.R.Kulli, Distance based connectivity status neighborhood indices of certain graphs, International Journal of Mathematical Archive, 11(6) (2020) 17-23.
[15] V.R.Kulli, Computation of some new status neighborhood indices of graphs, International Research Journal of Pure Algebra, to appear.
[16] V.R.Kulli, Status neighborhood Dakshayani indices, submitted.

Citation :

V.R. Kulli, "Computation of Distance Based Connectivity Status Neighborhood Dakshayani Indices," International Journal of Mathematics Trends and Technology (IJMTT), vol. 66, no. 6, pp. 118-128, 2020. Crossref, https://doi.org/10.14445/22315373/IJMTT-V66I6P513

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