Abstract
Chemical graph theory is a branch of mathematics which combines graph theory and chemistry. Chemical reaction network theory is a territory of applied mathematics that endeavors to display the conduct of genuine compound frameworks. It pulled the research community due to its applications in theoretical and organic chemistry since 1960. Additionally, it also increases the interest the mathematicians due to the interesting mathematical structures and problems are involved. The structure of an interconnection network can be represented by a graph. In the network, vertices represent the processor nodes and edges represent the links between the processor nodes. Graph invariants play a vital feature in graph theory and distinguish the structural properties of graphs and networks. In this paper, we determined the newly introduced topological indices namely, first -degree Zagreb index, first -degree Zagreb index, second -degree Zagreb index, -degree Randic index, -degree atom-bond connectivity index, -degree geometric-arithmetic index, -degree harmonic index and -degree sum-connectivity index for honey comb derived network. In the analysis of the quantitative structure property relationships (QSPRs) and the quantitative structureactivity relationships (QSARs), graph invariants are important tools to approximate and predicate the properties of the biological and chemical compounds. Also, we give the numerical and graphical representation of our outcomes.
Highlights
A structural molecular diagram is a basic diagram in the study of structural chemical graph theory where atoms are spoken to by nodes and chemical bonds are spoken to by lines
Chemical graph theory is a branch of mathematics which combines graph theory and chemistry
The topological indices related to ev-degree are: The ev-degree Zagreb index, ev-degree Randic index, The topological indices related to ev-degree are: The first ve-degree Zagreb a index, first ve-degree Zagreb b index, second ve-degree Zagreb index, ve-degree Randic index, ve-degree atom-bond connectivity index, ve-degree geometric-arithmetic index, ve-degree harmonic index and ve-degree sum-connectivity index
Summary
A structural molecular diagram is a basic diagram in the study of structural chemical graph theory where atoms are spoken to by nodes and chemical bonds are spoken to by lines. The relation between the ðQSPRÞ and ðQSARÞ predict the properties and natural exercises of unstudied material. In these materials, the topological indices and some physico-chemical properties are utilized to anticipate bioactivity for chemical compounds [2,3,4,5]. A number represents a topological index in a diagram of a chemical compound, which can be utilized to portray the underlined chemical compound and help to foresee its physio-chemical properties. Horoldagva et al [24] contributed to the study related to “ve-degree and ev-degree”. It has been found that the ve-degree Zagreb index has more grounded estimate power than the old-style Zagreb index
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