The spectra of generalized Paley graphs of $(q^{\ell }+1)$-th powers and applications

Ricardo A. Podestá, Denis E. Videla

We consider a special class of generalized Paley graphs over finite fields, namely the Cayley graphs with vertex set ${\mathbb{F}}_{q^m}$ and connection set the nonzero $(q^{\ell }+1)$-…