Finite Vertex Bi-Primitive 2-Arc Transitive Graphs Admitting a Two-Dimensional Linear Group

IEEE Access

Xiaohui Hua¹ 

[1] College of Mathematics and Information Science, Henan Normal University, Xinxiang, China;

关键词: Arc-transitive graph;    coset graph;    vertex bi-primitive;   

DOI  :  10.1109/ACCESS.2019.2907321

来源: DOAJ

【 摘 要 】

A graph is said to be vertex bi-primitive, if it is a bipartite graph, and the setwise stabilizer of its automorphism group acts primitively on two bi-parts. In this paper, we not only classify vertex bi-primitive 2-arc transitive graphs admitting a two-dimensional linear group but also determine the automorphism groups and the number of non-isomorphic ones of such graphs.

【 授权许可】

Unknown