  The study of graphs associated with of various algebraic structures is an
emerging topic in algebraic graph theory. Recently, the concept of nonzero
component graph of a finite dimensional vector space $\Gamma(\mathbb{V})$ was
put forward by Das \cite{5}. In this paper, we study some degree based
topological indices over $\Gamma(\mathbb{V})$ the derived graphs of
$\Gamma(\mathbb{V})$.
