Affine extensions of the Petersen graph and 2-arc-transitive graphs of girth 5
Let Qn denote the set of the flag-transitive geometries with the diagram. We construct examples of finite Qn-geometries for any n>= 2. This allows us to obtain new examples of finite 2-arc-transitive graphs of girth 5, containing Petersen subgraphs. Using coset enumeration, we classify all Q2-g...
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| Format: | Journal Article |
| Language: | English |
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2013
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| Online Access: | https://hdl.handle.net/10356/95798 http://hdl.handle.net/10220/9468 |
| _version_ | 1824455606956720128 |
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| author | Pasechnik, Dmitrii V. |
| author2 | School of Physical and Mathematical Sciences |
| author_facet | School of Physical and Mathematical Sciences Pasechnik, Dmitrii V. |
| author_sort | Pasechnik, Dmitrii V. |
| collection | NTU |
| description | Let Qn denote the set of the flag-transitive geometries with the diagram.
We construct examples of finite Qn-geometries for any n>= 2. This allows us to obtain new examples of finite 2-arc-transitive graphs of girth 5, containing Petersen subgraphs. Using coset
enumeration, we classify all Q2-geometries. |
| first_indexed | 2025-02-19T03:40:53Z |
| format | Journal Article |
| id | ntu-10356/95798 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2025-02-19T03:40:53Z |
| publishDate | 2013 |
| record_format | dspace |
| spelling | ntu-10356/957982023-02-28T19:39:43Z Affine extensions of the Petersen graph and 2-arc-transitive graphs of girth 5 Pasechnik, Dmitrii V. School of Physical and Mathematical Sciences DRNTU::Science::Mathematics Let Qn denote the set of the flag-transitive geometries with the diagram. We construct examples of finite Qn-geometries for any n>= 2. This allows us to obtain new examples of finite 2-arc-transitive graphs of girth 5, containing Petersen subgraphs. Using coset enumeration, we classify all Q2-geometries. Accepted version 2013-04-08T09:09:14Z 2019-12-06T19:21:47Z 2013-04-08T09:09:14Z 2019-12-06T19:21:47Z 1992 1992 Journal Article Pasechnik, D. V. (1992). Affine extensions of the petersen graph and 2-arc-transitive graphs of girth 5. European Journal of Combinatorics, 13(4), 279-290. 01956698 https://hdl.handle.net/10356/95798 http://hdl.handle.net/10220/9468 10.1016/S0195-6698(05)80034-4 en European journal of combinatorics © 1992 Academic Press Ltd. This is the author created version of a work that has been peer reviewed and accepted for publication by European Journal of Combinatorics, Academic Press. It incorporates referee’s comments but changes resulting from the publishing process, such as copyediting, structural formatting, may not be reflected in this document. The published version is available at:http://dx.doi.org/10.1016/S0195-6698(05)80034-4 application/pdf |
| spellingShingle | DRNTU::Science::Mathematics Pasechnik, Dmitrii V. Affine extensions of the Petersen graph and 2-arc-transitive graphs of girth 5 |
| title | Affine extensions of the Petersen graph and 2-arc-transitive graphs of girth 5 |
| title_full | Affine extensions of the Petersen graph and 2-arc-transitive graphs of girth 5 |
| title_fullStr | Affine extensions of the Petersen graph and 2-arc-transitive graphs of girth 5 |
| title_full_unstemmed | Affine extensions of the Petersen graph and 2-arc-transitive graphs of girth 5 |
| title_short | Affine extensions of the Petersen graph and 2-arc-transitive graphs of girth 5 |
| title_sort | affine extensions of the petersen graph and 2 arc transitive graphs of girth 5 |
| topic | DRNTU::Science::Mathematics |
| url | https://hdl.handle.net/10356/95798 http://hdl.handle.net/10220/9468 |
| work_keys_str_mv | AT pasechnikdmitriiv affineextensionsofthepetersengraphand2arctransitivegraphsofgirth5 |