SOME NEW TOPOLOGICAL INDICES ON UNITARY CAYLEY QUOTIENT GRAPHS

Numerical metrics related to the fundamental attributes of a chart are referred to as topological lists. They play an essential role in theoretical chemistry, especially in simulating the chemical, natural, and physical properties of atoms.The Unitary Cayley Remainder Charts are a distinct set of logarithmic charts noted for their continuity defined by unit elements in Zn, created from the additive group of integrability modulo Zn. This series of charts is the focus of this examination. We derive explicit equations for the over topological lists and examine the fundamental features of these systems. The results demonstrate the symmetric and distance-regular properties of unitary remainder Cayley graphs and establish a foundation for further advancements in graph theory and computational chemistry. The ease of these charts in replicating atomic structures with standard removal conveyance is further demonstrated by our results.