Study of Transformed η ζ Networks via Zagreb Connection Indices.

A graph is a tool for designing a system's required interconnection network. The topology of such networks determines their compatibility. For the first time, in this work we construct subdivided η ζ network S (η ζ Γ) and discussed their topology. In graph theory, there are a variety of invariants to study the topology of a network, but topological indices are designed in such a way that these may transform the graph into a numeric value. In this work, we study S (η ζ Γ) via Zagreb connection indices. Due to their predictive potential for enthalpy, entropy, and acentric factor, these indices gain value in the field of chemical graph theory in a very short time. η ζ Γ formed by ζ time repeated process which consists η ζ copies of graph Γ along with η 2 | V (Γ) | ζ η ζ − 1 edges which used to join these η ζ copies of Γ. The free hand to choose the initial graph Γ for desired network S (η ζ Γ) and its relation with chemical networks along with the repute of Zagreb connection indices enhance the worth of this study. These computations are theoretically innovative and aid topological characterization of S (η ζ Γ) . [ABSTRACT FROM AUTHOR]