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Dendrimers are highly branched organic macromolecules with successive layers of branch units surrounding a central core. The M-polynomial of nanotubes has been vastly investigated as it produces many degree-based topological indices. These indices are invariants of the topology of graphs associated with molecular structure of nanomaterials to correlate(More)
Topological indices and polynomials are predicting properties like boiling points, fracture toughness, heat of formation, etc., of different materials, and thus save us from extra experimental burden. In this article we compute many topological indices for the family of circulant graphs. At first, we give a general closed form of M-polynomial of this family(More)
The discovery of new nanomaterials adds new dimensions to industry, electronics, and pharmaceutical and biological therapeutics. In this article, we first find closed forms of M-polynomials of polyhex nanotubes. We also compute closed forms of various degree-based topological indices of these tubes. These indices are numerical tendencies that often depict(More)
the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Abstract In this paper, we establish a new third order iterative method for solving nonlinear equations. The efficiency index of the method is 1.442 2 which is the equal to the Halley's and(More)
The recent discovery of boron triangular nanotubes competes with carbon in many respects. The closed form of M-polynomial of nanotubes produces closed forms of many degree-based topological indices which are numerical parameters of the structure and, in combination, determine properties of the concerned nanotubes. In this report, we give M-polynomials of(More)
In this paper, we present a modified two-step fixed point iterative method for solving nonlinear functional equations and analyzed. The modified two-step fixed point iterative method has convergence of order two. The modified two-step fixed point iterative method converges faster than the fixed point method. The comparison table demonstrates the faster(More)
A topological index of graph G is a numerical parameter related to G, which characterizes its topology and is preserved under isomorphism of graphs. Properties of the chemical compounds and topological indices are correlated. In this report, we compute closed forms of first Zagreb, second Zagreb, and forgotten polynomials of generalized prism and toroidal(More)
Let G be a connected graph with diameter diam () G and (,) d x y denotes the shortest distance between any two distinct vertices , xy in G. Radio labeling (multi-level distance labeling or distance labeling) of G is a one-to-one mapping : () {0} f V G Z   satisfying (,) | () () | () 1 d x y f x f y diam G     for all , () x y V G . The span of a(More)
In this paper, we present a new fixed point iterative method for solving nonlinear functional equations and analyzed. The new fixed point iterative method has convergence of order two. The new fixed point iterative method converges faster than the fixed point method. The comparison table demonstrates the faster convergence of new fixed point method. 1(More)
In this paper, we present a new modified two-step Jungck iterative method (NMJIM) for solving nonlinear functional equations and analyzed. The new modified two-step Jungck iterative method has convergence of order five and efficiency index 2.2361 which is larger than all Jungck type iterative methods and the methods discussed in Table 1. The new modified(More)