ON THE EIGENVALUES OF N-CAYLEY GRAPHS: A SURVEY

A graph Γ is called an n-Cayley graph over a group G if Aut(Γ) contains a semi-regular subgroup isomorphic to G with n orbits. In this paper, we review some recent results and future directions around the problem of computing the eigenvalues on n-Cayley graphs

Strongly regular tri-Cayley graphs

A graph is called tri-Cayley if it admits a semiregular subgroup of automorphisms having three orbits of equal length. In this paper, the structure of strongly regular tri-Cayley graphs is investigated. A structural description of strongly regular tri-Cayley graphs of cyclic groups is given