Vertex-Edge Degree Based Indices of Honey Comb Derived Network

摘要

Chemical graph theory is a branch of mathematics which combinesgraph theory and chemistry. Chemical reaction network theory is a territory ofapplied mathematics that endeavors to display the conduct of genuine compoundframeworks. It pulled the research community due to its applications in theoreticaland organic chemistry since 1960. Additionally, it also increases the interest themathematicians due to the interesting mathematical structures and problems areinvolved. The structure of an interconnection network can be represented by agraph. In the network, vertices represent the processor nodes and edges representthe links between the processor nodes. Graph invariants play a vital feature ingraph theory and distinguish the structural properties of graphs and networks.In this paper, we determined the newly introduced topological indices namely,first ve-degree Zagreb α index, first ve-degree Zagreb β index, second ve-degreeZagreb index, ve-degree Randic index, ve-degree atom-bond connectivity index,ve-degree geometric-arithmetic index, ve-degree harmonic index and ve-degreesum-connectivity index for honey comb derived network. In the analysis of thequantitative structure property relationships (QSPRs) and the quantitative structureactivityrelationships (QSARs), graph invariants are important tools to approximateand predicate the properties of the biological and chemical compounds. Also, wegive the numerical and graphical representation of our outcomes.