Abstract:
This thesis explores degree-based topological Indices in the context of arsenic structures.
The study delves into the mathematical characterization of arsenic compounds, focusing
on the degree of vertices and edge (partition within their molecular graphs). Through the
systematic analysis, the research aims to provide insights into the structural properties of
arsenic-containing compounds, contributing to a better understanding of their behavior
and potential applications in various fields, such as material science and mathematical
chemistry. We have computed some degree based topological indices like first and second Zagreb indices, augmented Zagreb indices, atom-bond connectivity, sum connectivity
index and geometric-arithmetic index.
