,Hermitian Adjacency Spectrum of Cayley Digraphs over Dihedral Group

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We first study the spectrum of Hermitian adjacency matrix (H-spectrum) of Cayley digraphs X(D2n,S) on dihedral group D2n with |S| =3.Then we show that all Cayley digraphs X(D2p,S) with |S| =3 and p odd prime are Cay-DS,namely,for any Cayley digraph X(D2p,T),X(D2p,T) and X(D2p,S) having the same H-spectrum implies that they are isomorphic.
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