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

  • Authors:
  • Qiongxiang Huang

  • Affiliations:
  • Department of Mathematics, Xinjiang University, Urumuqi, Xinjiang 830046, China

  • Venue:
  • Discrete Mathematics
  • Year:
  • 2003

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Abstract

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