Distance eigenvalues, forwarding indices, and distance-based topological indices of complement of two circulant networks

Abstract

Let n, a, h, and m be positive integers such that 2 ? a ? n/2 and m ? 2. In this research, we compute the exact value of the distance spectral radius, vertexforwarding index, and some distance-based topological indices of the connected complement of circulant networks C?(1, a) and Cn=mh (1, m, m², . . . , mh?1). For a 6=n/2, the circulant network Cn(1, a) is called a double loop network while the circulant network Cn=m? (1, m, m², . . . , mh?1) is called the multiplicative circulant network on mh vertices.