Finite Vertex Bi-Primitive 2-Arc Transitive Graphs Admitting a Two-Dimensional Linear Group
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 th...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
IEEE
2019-01-01
|
| Series: | IEEE Access |
| Subjects: | |
| Online Access: | https://ieeexplore.ieee.org/document/8674561/ |
| _version_ | 1818642797361627136 |
|---|---|
| author | Xiaohui Hua |
| author_facet | Xiaohui Hua |
| author_sort | Xiaohui Hua |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-16T23:48:46Z |
| format | Article |
| id | doaj.art-bc8b0cd66a2e4280a740e49c98b46fb5 |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-12-16T23:48:46Z |
| publishDate | 2019-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-bc8b0cd66a2e4280a740e49c98b46fb52022-12-21T22:11:24ZengIEEEIEEE Access2169-35362019-01-017399833998910.1109/ACCESS.2019.29073218674561Finite Vertex Bi-Primitive 2-Arc Transitive Graphs Admitting a Two-Dimensional Linear GroupXiaohui Hua0https://orcid.org/0000-0002-1215-3616College of Mathematics and Information Science, Henan Normal University, Xinxiang, ChinaA 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.https://ieeexplore.ieee.org/document/8674561/Arc-transitive graphcoset graphvertex bi-primitive |
| spellingShingle | Xiaohui Hua Finite Vertex Bi-Primitive 2-Arc Transitive Graphs Admitting a Two-Dimensional Linear Group IEEE Access Arc-transitive graph coset graph vertex bi-primitive |
| title | Finite Vertex Bi-Primitive 2-Arc Transitive Graphs Admitting a Two-Dimensional Linear Group |
| title_full | Finite Vertex Bi-Primitive 2-Arc Transitive Graphs Admitting a Two-Dimensional Linear Group |
| title_fullStr | Finite Vertex Bi-Primitive 2-Arc Transitive Graphs Admitting a Two-Dimensional Linear Group |
| title_full_unstemmed | Finite Vertex Bi-Primitive 2-Arc Transitive Graphs Admitting a Two-Dimensional Linear Group |
| title_short | Finite Vertex Bi-Primitive 2-Arc Transitive Graphs Admitting a Two-Dimensional Linear Group |
| title_sort | finite vertex bi primitive 2 arc transitive graphs admitting a two dimensional linear group |
| topic | Arc-transitive graph coset graph vertex bi-primitive |
| url | https://ieeexplore.ieee.org/document/8674561/ |
| work_keys_str_mv | AT xiaohuihua finitevertexbiprimitive2arctransitivegraphsadmittingatwodimensionallineargroup |