A classification of tetravalent half-arc-transitive metacirculants of 2-power orders
作者：
Highlights：
• In 2007, Yan-Quan Feng et al. introduced the first infinite families of tetravalent half-arc-transitive metacirculants of order 2-powers. This paper completes the classification of tetravalent half-arc-transitive metacirculants of order 2-powers.
• This paper is a new contribution to the classification of tetravalent half-arc-transitive metaciruclants by orders of graphs.
• Together with a result of Cai Heng Li and Hyo Seob Sim, our work implies that all tetravalent half-arc-transitive metacirculants of prime-power orders are known.
摘要
•In 2007, Yan-Quan Feng et al. introduced the first infinite families of tetravalent half-arc-transitive metacirculants of order 2-powers. This paper completes the classification of tetravalent half-arc-transitive metacirculants of order 2-powers.•This paper is a new contribution to the classification of tetravalent half-arc-transitive metaciruclants by orders of graphs.•Together with a result of Cai Heng Li and Hyo Seob Sim, our work implies that all tetravalent half-arc-transitive metacirculants of prime-power orders are known.
论文关键词：Metacirculant,Cayley graph,Half-arc-transitive,Normal
论文评审过程：Received 26 June 2020, Revised 14 October 2020, Accepted 19 October 2020, Available online 5 November 2020, Version of Record 5 November 2020.
论文官网地址：https://doi.org/10.1016/j.amc.2020.125755
