Bounds of Some Topological Indices of the Cartesian Product of F-sum Graphs
Lower and upper bounds of Randic index(R), sum-connectivity index (SCI), arithmetic geometric index (AG1), Harmonic index (H) and multiplicative indices of Cartesian productof F-sum of connected graphs are obtained.
S. Akhter and M. Imran, The sharp bounds on general sum-connectivity index of four operations on graphs, J. Inequal. Appl. 2016 (2016), 241, DOI: 10.1186/s13660-016-1186-x.
H. Deng, D. Sarala, S.K. Ayyaswamy and S. Balachandran, The Zagreb indices of four operations on graphs, Appl. Math. Comput. 275 (2016), 422–431, DOI: 10.1016/j.amc.2015.11.058.
M. Eliasi and B. Taeri, Four new sums of graphs and their Wiener indices, Discrete Appl. Math. 157 (2009), 794–803, DOI: 10.1016/j.dam.2008.07.001.
I. Gutman, Degree-based topological indices, Croat. Chem. Acta 86(4) (2013), 351–361, DOI: 10.5562/cca2294.
F. Harary, Graph Theory, Narosa Publishing House, New Delhi (1969).
G. R. Roshini and Chandrakala S B., Multiplicative Zagreb indices of transformation graphs, Anusandhana Journal of Science, Engineering and Management 6(1) (May 2018).
G. R. Roshini, Chandrakala S. B. and B. Sooryanarayana, Randic index of transformation graphs, International Journal of Pure and Applied Mathematics 120 (6) (2018), 6229–6241.
H. P. Schultz, Topological organic chemistry. 1. Graph theory and topological indices of alkanes, J. Chem. Inf. Comput. Sci. 29 (1989), 227–228, DOI: 10.1021/ci00063a012.
W. Yan, B.-Y. Yang, Y.-N. Yeh, Wiener Indices and Polynomials of Five Graph Operators, Academia Sinica Taipei, Taiwan (2007).
eISSN 0975-5748; pISSN 0974-875X