A reductive characterization of arc-transitive circulants was given independently by Kovács in 2004 and the first author in 2005. In this paper, we give an explicit characterization of arc-transitive circulants and their automorphism groups. Based on this, we give a proof of the fact that arc-transitive circulants are all CI-digraphs.

中文翻译：

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圆弧传递圆弧的显式表征

弧传递圆环的还原特征由Kovács于2004年和第一作者于2005年独立给出。在本文中，我们给出了弧传递圆环及其自同构群的显式特征。基于此，我们证明了圆弧传递圆弧都是CI图。