On Cayley graphs over generalized dicyclic groups

Recently, several works by a number of authors have studied integrality, distance and powers Cayley graphs over some finite groups, such as dicyclic groups (generalized) dihedral groups. Our aim is to generalize and/or give analogues these results for generalized For example, we necessary sufficient condition graph group be integral (i.e., all eigenvalues its adjacency matrix are in Z). We also obtain conditions the integrality given group. These extend on Cheng–Feng–Huang Cheng–Feng–Liu–Lu–Stevanovic, respectively.