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Two-arc-transitive bicirculants
Journal of Combinatorial Theory Series B ( IF 1.2 ) Pub Date : 2023-07-26 , DOI: 10.1016/j.jctb.2023.07.001 Wei Jin
中文翻译:
双弧传递双循环
更新日期:2023-07-27
Journal of Combinatorial Theory Series B ( IF 1.2 ) Pub Date : 2023-07-26 , DOI: 10.1016/j.jctb.2023.07.001 Wei Jin
In this paper, we determine the class of finite 2-arc-transitive bicirculants. We show that a connected 2-arc-transitive bicirculant is one of the following graphs: where , where , where , where , and where and q is a prime power, where is a prime power, where q is an odd prime power and dividing , where and , where and , , where , q is a prime power and , Petersen graph, Desargues graph, dodecahedron graph, folded 5-cube, , , , , , , , , and .
中文翻译:
![](https://scdn.x-mol.com/jcss/images/paperTranslation.png)
双弧传递双循环
在本文中,我们确定了有限 2 弧传递双循环的类。我们证明连通的 2 弧传递双循环是下列图之一:在哪里,在哪里,在哪里,在哪里,和在哪里q是素数幂,在哪里是一个原动力,其中q是奇素数幂并且划分,在哪里和,在哪里和,, 在哪里, q是素数幂并且、Petersen 图、Desargues 图、十二面体图、折叠 5 立方体、,,,,,,,,和。