A classification of circulant DCI(CI)-digraphs of 2-power order

摘要

Let Z_n be a cyclic group of order n with unit 0 and C(Z_n,S) the circulant digraph of Z_n with respect to S is contained in Z_n {0}. C(Z_n,S) is called a circulant DCI-digraph if, for any circulant digraph C(Z_n,T), C(Z_n,S) Approx= C(Z_n,T) implies that S and T are conjugate in Aut(Z_n), the automorphism group of Z_n. In this paper, we give a complete classification for circulant DCI-digraphs of 2-power order.