当前位置: X-MOL 学术J. Comb. Theory B › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Two-arc-transitive bicirculants
Journal of Combinatorial Theory Series B ( IF 1.4 ) 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: C2n where n2, K2n where n2, Kn,n where n3, Kn,nnK2 where n4, B(PG(d1,q)) and B(PG(d1,q)) where d3 and q is a prime power, X1(4,q) where q3(mod4) is a prime power, Kq+12d where q is an odd prime power and d2 dividing q1, ATQ(1+q,2d) where d|q1 and d12(q1), ATD(1+q,2d) where d|12(q1) and d2, Γ(d,q,r), where d2, q is a prime power and r|q1, Petersen graph, Desargues graph, dodecahedron graph, folded 5-cube, X(2,2), X(3,2), X2(3), ATQ(4,12), GP(12,5), GP(24,5), B(H(11)), B(H(11)), ATD(4,6) and ATD(5,6).



中文翻译:

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:C2n在哪里n2,K2n在哪里n2,Kn,n在哪里n3,Kn,n-nK2在哪里n4,PGd-1,qPGd-1,q在哪里d3q素数幂,X14,q在哪里q==3模组4是一个原动力,Kq+12d其中q是奇素数幂并且d2划分q-1,A时间1+q,2d在哪里d|q-1d12q-1,A时间D1+q,2d在哪里d|12q-1d2,γd,q,r, 在哪里d2, q是素数幂并且r|q-1、Petersen 图、Desargues 图、十二面体图、折叠 5 立方体、X2,2,X3,2,X23,A时间4,12,G12,5,G24,5,H11,H11,A时间D4,6A时间D5,6

更新日期:2023-07-27
down
wechat
bug