NANOSYSTEMS: PHYSICS, CHEMISTRY, MATHEMATICS, 2020, 11 (3), P. 267–274
M-polynomial and related degree-based topological indices of the third type of hex-derived network
Shibsankar Das – Department of Mathematics, Institute of Science, Banaras Hindu University, Varanasi-221005, Uttar Pradesh, India; shib.iitm@gmail.com
Shikha Rai – Department of Mathematics, Institute of Science, Banaras Hindu University, Varanasi-221005, Uttar Pradesh, India; shikharai48@gmail.com
In the field of chemical graph theory, a topological index is a real number which is correlated with the various physical properties, biological activities and chemical reactivities of molecular graphs. In recent trends, M-polynomials are used to compute numerous degree-based topological indices. Hex-derived networks have a wide range of applications in pharmaceutical sciences, electronics and communication networks. In this paper, we would like to determine a general form of M-polynomial for the third type of hex-derived network of dimension n and hence generate the related degree-based topological indices. Additionally, we plot the M-polynomial and all the related degree-based topological indices for several n.
Keywords: Third type of hex-derived network, Degree-based topological indices, M-polynomial, Graph polynomial.
PACS 02.10.Ox, 61.48.c DOI 10.17586/2220-8054-2020-11-3-267-274
