On $M$-polynomial and topological indices of modified Cayley graph

Sandeep Kage; J. K. Mane; J. N. Salunke

doi:10.26637/MJM0901/0210

Abstract

The chemical and physical properties of hydrocarbons may be correlated and investigated with help of topological indices. M-polynomial play a vital role to estimate Topological indices. One of the symmetric graphs is the Cayley trees. In the present paper, we have produced modified Cayley graph from Cayley trees and estimated some degree based topological indices using the $M$-polynomial.

Keywords:

Molecular graph, degree based topological indices, M-Polynomial, Cayley Tree, Modified Cayley Graph

Mathematics Subject Classification:

Mathematics

Authors Imprint References Funding Related Articles Downloads

Sandeep Kage Department of Mathematics, Gondwana University, Gadchiroli, Gadchiroli–442605, India. https://orcid.org/0000-0003-2404-2654
J. K. Mane Research Supervisor, Sanjeevanee Mahavidyalaya, Chapoli, Latur–413513, India.
J. N. Salunke Ex-Professor, School of Mathematical Sciences, Swami Ramanand Teerth Marathwada University, Nanded–431606, India.

Pages: 1216-1220
Date Published: 25-03-2021
Vol. 9 No. 01 (2021): Malaya Journal of Matematik (MJM)

I. Gutman, Degree based Topological indices, Croatia Chemica Acta, 86(4)(2013), 351-361. DOI: https://doi.org/10.5562/cca2294

E. Deutsch and S. Klavzar, M-polynomial and degree based topological Indices, Iranian Journal of Mathematical Chemistry, 6(2015), 93-102.

R. R. Garg, Pravin Garg and B. K. Yadav, M-polynomial and topological Indices of Hanoi graph and generalised wheel graph, Malaya Journal of Mathematik, 8(4)(2020), 2149-2157. DOI: https://doi.org/10.26637/MJM0804/0140

Zahid Raza and M. E. K. Sukaiti, M-Polynomials and Degree Based Topological Indices of Some Nanostructures, Symmetry, 12(831)(2020), 1-16. DOI: https://doi.org/10.3390/sym12050831

I. Gutman, B. Furtula, Z. K. Vukicevic and G. Popivoda, On Zagreb Indices and Coindices, MATCH Commun. Math. Comput. Chem., 74(2015), 5-16.

M. S. Abdelgadar, C. Wang and S. A. Mohammed, Computation of Topological Indices of Some Special Graphs, Mathematics, 6(33)(2018), 115. DOI: https://doi.org/10.3390/math6030033

P. Allegrini, M. Buiatti, P. Grigolini and B. J. West, Fractional Brownian motion as a non stationary process: An alternative paradigm for DNA sequences, Physical Review E, 57(4)(1998), 4558-4567. DOI: https://doi.org/10.1103/PhysRevE.57.4558