Journal article
An explicit characterization of arc-transitive circulants
CH Li, B Xia, S Zhou
Journal of Combinatorial Theory Series B | ACADEMIC PRESS INC ELSEVIER SCIENCE | Published : 2021
Abstract
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.
Grants
Awarded by National Natural Science Foundation of China
Funding Acknowledgements
This project was initiated during the first named author's visit to the University of Melbourne, and was partially supported by National Natural Science Foundation of China (NNSFC 11771200 and 11931005) . The authors would like to thank the anonymous referee for careful reading and valuable suggestions on this paper.