Let $n$ and $a$ be positive integers such that $2\leq a\leq \frac{ n}{ 2}$. In this short note, we compute for the exact value of the distance spectral radius, vertex-forwarding index, and some distance-based topological indices of the complement of circulant networks $C_n(1,a)$ and $C_{ m^h}(1,m,m^2,\ldots,m^{ h-1})$. For $a\neq \frac{ n}{ 2}$, the circulant $C_n(1,a)$ is called a double loop network while the circulant $C_{ m^h}(1,m,m^2,\ldots,m^{ h-1})$ is called the multiplicative circulant network on $m^h$ vertices.
Categories: math.CO