M-Polynomials and Degree-Based Topological Indices of Triangular, Hourglass, and Jagged-Rectangle Benzenoid Systems

Abstract

Chemical graph theory is a branch of mathematical chemistry which has an important effect on the development of the chemical sciences. The study of topological indices is currently one of the most active research fields in chemical graph theory. Topological indices help to predict many chemical and biological properties of chemical structures under study. The aim of this report is to study the molecular topology of some benzenoid systems. M-polynomial has wealth of information about the degree-based topological indices. We compute M-polynomials for triangular, hourglass, and jagged-rectangle benzenoid systems, and from these M-polynomials, we recover nine degree-based topological indices. Our results play a vital role in pharmacy, drug design, and many other applied areas.

Topological indices and QSPR/QSAR analysis of some antiviral drugs being investigated for the treatment of COVID‐19 patients

“…In this direction, the M‐polynomial was introduced by Deutsch and Klavzar in 2015 [57] to compute the various degree based topological indices. Due to its wide applicability it has been used in various papers to derive formulas of degree based topological indices [58–64]. The Duo [65] recently proposed a new approach to determine M‐polynomial of chemical graph in which each vertex has only degree 2 or 3.…”

$M$-Polynomial and topological indices of Hanoi graph and generalized wheel graph

“…We assume G = (V, E) be a graph, where V is the set of objects called vertices and E is the set of unordered pair of elements of V called edges of the graph G. d(v) denotes the degree of vertex v is the number of edges incident on v in a graph G. A topological index is a graph invariant which is mostly applicable in chemistry. There are many degree based graph invariants such as Zagreb index, Randić index, SSD index, inverse sum index, ABC index, harmonic index etc., have been studied in the literature ( see [1], [2] and [3]).…”

H-Coverings of Path-Amalgamated Ladders and Fans

“…Baca et al proved d-antimagic labeling of type (1, 1, 1) for toroidal fullerenes in [18], while, in [19], Baca et al proved labeling for plane graphs containing Hamiltonian paths. For more details, we refer [20][21][22][23][24][25][26][27][28][29] and the references therein. In the present article, we have studied super H-antimagic labeling of path-amalgamation of ladder and fan for several differences, where H is isomorphic to cycles C 3 , C 4 , C 5 , and P 2 -amalgamation of two cycles C 3 and C 4 .…”