Abstract
In this article, we study the chemical graph of a cyclic octahedron structure of dimension n and compute the eccentric connectivity polynomial, the eccentric connectivity index, the total eccentricity, the average eccentricity, the first Zagreb index, the second Zagreb index, the third Zagreb index, the atom bond connectivity index and the geometric arithmetic index of the cyclic octahedron structure. Furthermore, we give the analytically closed formulas of these indices which are helpful for studying the underlying topologies.
Highlights
Graph theory has advanced greatly in the field of mathematical chemistry
Chemical graph theory has become very popular among researchers because of its wide application in mathematical chemistry
The molecular topological descriptors are the numerical invariants of a molecular graph and are very useful for predicting their bioactivity
Summary
Graph theory has advanced greatly in the field of mathematical chemistry. Chemical graph theory has become very popular among researchers because of its wide application in mathematical chemistry.The molecular topological descriptors are the numerical invariants of a molecular graph and are very useful for predicting their bioactivity. Graph theory has advanced greatly in the field of mathematical chemistry. Chemical graph theory has become very popular among researchers because of its wide application in mathematical chemistry. A great variety of such indices have been studied and used in theoretical chemistry, by pharmaceutical researchers, in drugs, and in other different fields. There is considerable usage of graph theory in chemistry. Chemical graph theory is the topology branch of mathematical chemistry which applies graph theory to the mathematical modeling of chemical occurrence. A lot of research has been done in this area in the last few decades. This theory has a major role in the field of chemical sciences
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