International Journal of Mathematics Trends and Technology
Volume 65 | Issue 10 | Year 2019 | Article Id. IJMTT-V65I10P510 | DOI : https://doi.org/10.14445/22315373/IJMTT-V65I10P510
In this study, we propose the first and second hyper status indices, sum connectivity status index, product connectivity status index, atom bond connectivity status index, geometric-arithmetic status index, general first and second status indices of a graph and determine their values for some standard graphs, wheel graphs, friendship graphs.
[1] V.R.Kulli, College Graph Theory, Vishwa International Publications, Gulbarga, India (2012).
[2] 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, Neighborhood Dakshayani indices, International Journal of Mathematical Archive, 10(7) (2019) 23-31.
[5] 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.
[6] V.R.Kulli, The Gourava indices and coindices of graphs, Annals of Pure and Applied Mathematics, 14(1) (2017) 33-38.
[7] V.R. Kulli, Revan indices of oxide and honeycomb networks, International Journal of Mathematics and its Applications, 5(4-E) (2017) 663-667.
[8] V.R. Kulli, Dakshayani indices, Annals of Pure and Applied Mathematics, 18(2) (2018) 139-146.
[9] B. Basavanagoud, P. Jakkannavar, Kulli-Basava indices of graphs, Inter. J. Appl. Engg. Research, 14(1) (2018) 325-342.
[10] S. Ediz, Maximal graphs of the first reverse Zagreb beta index, TWMS J. Appl. Eng. Math. 8 (2018) 306-310.
[11] P. Kandan, E. Chandrasekaran, M. Priyadharshini, The Revan weighted szeged index of graphs, Journal of Emerging Technologies and Innovative Research, 5(9) (2018) 358-366.
[12] A. M. Naji, N. D. Soner, I. Gutman, On leap Zagreb indices of graphs, Commun. Comb. Optim. 2(2) (2017) 99-107.
[13] I. Gutman, V.R. Kulli, B. Chaluvaraju and H. S. Boregowda, On Banhatti and Zagreb indices, Journal of the International Mathematical Virtual Institute, 7 (2017) 53-67.
[14] B. Zhou and N. Trinajstic, On a novel connectivity index, J. Math. Chem. 46(2009) 1252-1270.
[15] 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.
[16] H.S. Ramane, B. Basavagoud and A.S. Yalnaik, Harmonic status index of graphs, Bulletin of Mathematical Sciences and Applications, 17 (2016) 24-32.
[17] H.S.Ramane, A.S. Yalnaik and R. Sharafdini, Status connectivity indices and coindices of graphs and its computation to some distance balanced graphs, AKCE International Journal of Graphs and Combinatorics, (2018) https://doi.org/10.1016j.akcej.2018.09.002.
[18] V.R. Kulli, Some new multiplicative status indices of graphs, submitted.
[19] V.R. Kulli, Computation of status indices of graphs, submitted.
[20] V.R. Kulli, The (a, b)-status index of graphs, submitted.
V.R.Kulli, "Some New Status Indices of Graphs," International Journal of Mathematics Trends and Technology (IJMTT), vol. 65, no. 10, pp. 70-76, 2019. Crossref, https://doi.org/10.14445/22315373/IJMTT-V65I10P510
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