Graphical Invariants for some Transformed Networks.

Ali, Nawaf; Khalifa, Tarek; Iqbal, Hifza; Aftab, Muhammad Haroon; Jebreen, Kamel; Jamil, Humira; Kanj, Hassan

A topological index is a numerical character associated with a graph that is invariant under graph isomorphism and describe the graphs topology. There are several graph operations that may be used to change it into a new structure, such as constructing a stellation, bounded dual, complement, subdivided, line graph, minor, dual, and medial. In this paper, we construct transformed networks from the concealled non-kekulean benzenoid hydrocarbon structure by applying stellation and bounded dual operations, further we study their degree based topological properties by appropriately labeling the graph. Degree based topological indices are playing significant role among other types of indices in chemical, pharmaceutical and bio-informatics industry, since they corelate the structure with its physicochemical properties.

TOPOLOGICAL degree; MOLECULAR connectivity index; POLYCYCLIC aromatic hydrocarbons; GRAPH labelings; TOPOLOGICAL property; ISOMORPHISM (Mathematics)

European Journal of Pure & Applied Mathematics, 2024, Vol 17, Issue 2, p690

1307-5543

Academic Journal

10.29020/nybg.ejpam.v17i2.5078