Journal article

An explicit characterization of arc-transitive circulants

Cai Heng Li, Binzhou Xia, Sanming 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 (NNSFC)


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.