On the connectivity properties and energy of Fibonomial graphs

We introduce a new type of graph called a Fibonomial graph, denoted GnGn. Entries of the adjacency matrix of GnGn depend on the well-known Fibonomial coefficients modulo 2. We investigate the connectivity properties, eigenvalues, and energy of GnGn. We lastly obtain the sum of the Laplacian eigenvalues of GnGn.