چكيده فارسي :
The adjacency spectrum of a graph Γ, which is denoted by Spec(Γ), is
the multiset of eigenvalues of its adjacency matrix. We say that two graphs Γ and
Γ
0
are cospectral if Spec(Γ) = Spec(Γ
0
). In this talk we speak about some methods
for constructing cospectral non-isomorphic Cayley graphs. In particular for each prime
number p, p ≥ 23, we construct a large family of cospectral non-isomorphic Cayley
graphs over the dihedral group of order 2p. This is a joint work with Shahrooz Janbaz
and Meysam Ghahramani.
