The (a, b)-Status Neighborhood Dakshayani Index

  IJMTT-book-cover
 
International Journal of Mathematics Trends and Technology (IJMTT)
 
© 2021 by IJMTT Journal
Volume-67 Issue-1
Year of Publication : 2021
Authors : V.R.Kulli
  10.14445/22315373/IJMTT-V67I1P512

MLA

MLA Style: V.R.Kulli  "The (a, b)-Status Neighborhood Dakshayani Index" International Journal of Mathematics Trends and Technology 67.1 (2021):79-87. 

APA Style: V.R.Kulli(2021). The (a, b)-Status Neighborhood Dakshayani Index  International Journal of Mathematics Trends and Technology, 79-87.

Abstract
Many distance based topological indices of a graph have been studied in the literature. In this paper, we introduce the F1-status neighborhood Dakshayani index, the general status neighborhood Dakshayani index, symmetric division status neighborhood Dakshayani index, first and second status neighborhood Dakshayani-Gourava indices, (a, b)-status neighborhood Dakshayani index of a graph. Also we propose the F1-status neighborhood Dakshayani polynomial, symmetric division status neighborhood Dakshayani polynomial, first and second status neighborhood Dakshayani-Gourava polynomials of a graph. We compute these newly defined status neighborhood Dakshayani indices for certain standard graphs and friendship graphs.

Reference

[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] R.Todeschini and V. Consonni, Molecular Descriptors for Chemoinformatics, Wiley-VCH, Weinheim, (2009).
[4] H.Wiener, Structural determination of paraffin boiling points, J. Amer. Chem. Soc. 69(1947) 17-20.
[5] D.Plavsic, S. Nikolić and N. Trinajstić, On the Harary index for the characterization of chemical graphs, J. Math. Chem., 12 (1993) 235-250.
[6] V.R.Kulli, Some new status indices of graphs, International Journal of Mathematics Trends and Technology, 65(10) (2019) 70-76.
[7] H.S.Ramane and A.S. Yalnaik, Status connectivity indices graphs and its applications to the boiling point of benzenoid hydrocarbons, Journal of Applied Mathematics and Computing, 55 (2017) 607-627.
[8] K.P.Narayankar and D.Selvan, Geometric-arithmetic index of graphs, International Journal of Mathematical Archive, 8(7) (2017) 230-233.
[9] H.S.Ramane, B. Basavanagoud and A.S. Yalnaik, Harmonic status index of graphs, Bulletin of Mathematical Sciences and Applications, 17(2016) 24-32.
[10] V.R.Kulli, Status Gourava indices of graphs, International Journal of Recent Scientific Research, 10, 1(B) (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 Multiplicative status Gourava indices of graphs, International Journal of Mathematical Archive, 11(5) (2020) 23-28.
[13] V.R.Kulli, Computation of status neighborhood indices of graph, International Journal of Recent Scientific Research, 11(4) (2020) 38079-38085.
[14] V.R.Kulli, Multiplicative status neighborhood indices of graphs, International Journal of Engineering Sciences and Research Technology, 9(6) (2020) 110-120.
[15] V.R.Kulli, Distance based connectivity status neighborhood indices of certain graphs, International Journal of Mathematical Archive, 11(6) (2020) 17-23.
[16] V.R.Kulli, Computation of some new status neighborhood indices of graph, International Research Journal of Pure Algebra, 10(6) (2020) 6-13.
[17] V.R.Kulli, Some new status neighborhood indices of graphs, International Journal of Mathematics Trends and Technology, 66(9) (2020) 139-153.
[18] V.R.Kulli, Computation of Square status and inverse sum status indices of certain graphs, Annals of Pure and Applied Mathematics, 22(1) (2020) 1-6.
[19] V.R.Kulli, Inverse sum status and modified status indices of graphs and their multiplicative versions, International Journal of Recent Scientific Research, 11(10) (2020) 39753-39759.
[20] V.R.Kulli, Status neighborhood Dakshayani indices, International Journal of Mathematical Archive, 11(7) (2020) 7-16.
[21] V.R.Kulli, Computation of distance based connectivity status neighborhood Dakshayani indices, International Journal of Mathematics Trends and Technology, 66(6) (2020) 118-128.
[22] V.R.Kulli, Computing multiplicative topological indices of certain graphs, submitted.
[23] V.R.Kulli, Computing new status neighborhood Dakshayani indices, submitted.

Keywords : status, F1-status neighborhood Dakshayani index, symmetric division status neighborhood Dakshayani index, (a, b)-status neighborhood Dakshayani index, graph.