There are numeric numbers that define chemical descriptors represent the entire structure of a graph, which contain basic structure. Of these, main factors topological indices such they related to different physical properties primary compounds. The biological activity compounds can be constructed by help indices. In theoretical chemistry, numerous have been invented, as Zagreb index, Randić Wiener and many more. Hex-derived networks an assortment valuable applications in drug store,...

A graph invariant is a number that can be easily and uniquely calculated through graph. Recently, part of mathematical invariants has been portrayed utilized for relationship examination. Nevertheless, no reliable appraisal embraced to pick, how much these are associated with network in interconnection networks various fields computer science, physics, chemistry. In this paper, the study talks about sudoku will fractal nature having some applications science like puzzle game, intelligent...

In the research of QSAR and QSPR correlations, topological indices such as Randi'c index, Zagreb ABC geometric-arithmetic index have been proposed to analyze bio-compatibility chemical compounds. Chemical graph theory is combination Chemistry Graph theory, this deals with topology mathematical study isomerism development which has applications in QSPR. article, we consider Octahedron networks find out above mentioned degree based indices.

A topological index is a numerical representation of chemical structure, while descriptor correlates certain physico-chemical characteristics underlying compounds besides its representation. large number properties like properties, thermodynamic activity, and biological activity are determined by the applications graph theory. The can be constructed help indices such as atom-bond connectivity (ABC), Randić, geometric arithmetic (GA). In this paper, atom bond Zagreb, (GA), ABC4, GA5 mth chain...

Topological indices are the mathematical tools that correlate chemical structure with various physical properties, reactivity or biological activity numerically. A topological index is a function having set of graphs as its domain and real numbers range. In QSAR/QSPR study, prediction about bioactivity compounds made on basis physico-chemical properties such Zagreb, Randić multiple Zagreb indices. this paper, we determine lower upper bounds indices, atom-bond connectivity (ABC) index,...

A topological index is a real number associated with graph that provides information about its physical and chemical properties their correlations. Topological indices are being used successfully in Chemistry, Computer Science, many other fields.In this article, we apply the well-known Cartesian product on F-sums of connected finite graphs. We formulate sharp limits for some famous degree-dependent indices.Zagreb operations T(G), Q(G), S(G), R(G), have been computed. By using orders sizes...

A 1-vertex-magic vertex labeling of a graph G(V,E )w ithp vertices is bijection f from the set V (G )t o integers 1,2,...,pwith property that there constant k

A Topological index also known as connectivity is a type of molecular descriptor that calculated based on the graph chemical compound. indices are numerical parameters which characterize its topology and usually invariant. In QSAR/QSPR study, physico-chemical properties topological such Randić, atom-bond (ABC) geometric-arithmetic (GA) used to predict bioactivity compounds. Graph theory has found considerable use in this area research. paper, we study HDCN1(m,n) HDCN2(m,n) dimension m , n...

The study of graphs and networks accomplished by topological measures plays an applicable task to obtain their hidden topologies. This procedure has been greatly used in cheminformatics, bioinformatics, biomedicine, where estimations based on graph invariants have made available for effectively communicating with the different challenging tasks. Irregularity are mostly characterization nonregular graphs. In several applications problems various areas research like material engineering...

There are different mathematical tools to establish a numeric correlation between chemical structure and its properties. A topological index is such successful tool. It represents graph in form of single real number. In QSAR/QSPR study, the bioactivity compounds predicted, using physico-chemical properties indices. this area research, theory plays vital role. The four operations on graphs were defined by Eliasi Taeri 2009. Imran et al. studied Cartesian product computed bounds for some...

Topological descriptors are the most important numerical quantities in fields of mathematical chemistry and nanotechnology. These based on topology atoms their bonds (chemical conformation, quaternary structure). Local-valency/degree topological descriptors/indices vital importance due to specific chemical significance. invariants successful molecular structure-property structure-activity relationships studies. A nanostructure is an object intermediate size between microscopic structures. It...

Chemical graph theory is a subfield of that uses molecular to describe chemical compound. When there at least one connection between the vertices graph, it said be connected. Topology has been expressed by numerical quantity which known as topological index. Cheminformatics product field combines chemistry, mathematics, and computer science. The plays key role in modelling coming up with any arrangement. In this paper, we computed multiplicative degree-based indices like Randić, Zagreb,...

Topological indices are numerical parameters of a graph which characterize its topology and usually invariant. In QSAR/QSPR study, physico-chemical properties topological such as Randic, atom-bond connectivity ´ (ABC) geometric-arithmetic (GA) index used to predict the bioactivity chemical compounds. Graph theory has found considerable use in this area research. paper, we study derive analytical closed results general Randic Rα(G) with α = 1, 1 2 ,−1,−1 , for boron triangular sheet BTS(m,n),...

The analysis of a structure is based on its configuration.The common means available for this purpose the use graph products.The rooted product specially revelent trees.Chemical application theory predicts different properties like physico-chemical properties, thermodynamics chemical activity, biological etc. Certain invariants known as topological indices are used characterization these properties.These have promising role in sciences and QSAR/QSPR studies.In paper lower upper bounds Zagreb...

Topological indices are numerical parameters of a graph that characterize its molecular topology. In theoretical chemistry, the which used to depict topology graphs called topological indices. Several physical and chemical properties like boiling point, entropy, heat-formation vaporization enthalpy compounds can be determined through these Graph theory has considerable use in evaluating relation for various some derived graphs. this paper, we studied general Randic, first Zagreb, ABC, GA,...

Topological indices are numerical parameters of a graph which characterize its topology and usually invariant. In this paper, bounds for the Randić, general sum-connectivity, sum-connectivity harmonic tensor product graphs determined by using combinatorial inequalities computing.

In chemical graph theory, a topological index is numerical representation of network while descriptor correlates certain physico-chemical characteristics underlying compounds besides its representation. Graph plays an vital role in modeling and designing any network. F. Simonraj et al. derived new third type Hex networks [27]. our work, we discuss the hex HDN3(r), THDN3(r) RHDN3(r) computed exact results for indices which are based on degrees end vertices.