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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2013
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/1303.3794 |
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| _version_ | 1866910342076956672 |
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| author | Chen, Haimiao Shen, Hao |
| author_facet | Chen, Haimiao Shen, Hao |
| contents | Given a finite connected simple graph $Γ$, and a subgroup $G$ of its automorphism group, a general method for finding all finite abelian regular coverings of $Γ$ that admit a lift of each element of $G$ is developed. As an application, all connected arc-transitive abelian regular coverings of the Petersen graph are classified up to isomorphism. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1303_3794 |
| institution | arXiv |
| publishDate | 2013 |
| record_format | arxiv |
| spellingShingle | How to find G-admissible abelian coverings of a graph? Chen, Haimiao Shen, Hao Combinatorics 05E18 Given a finite connected simple graph $Γ$, and a subgroup $G$ of its automorphism group, a general method for finding all finite abelian regular coverings of $Γ$ that admit a lift of each element of $G$ is developed. As an application, all connected arc-transitive abelian regular coverings of the Petersen graph are classified up to isomorphism. |
| title | How to find G-admissible abelian coverings of a graph? |
| topic | Combinatorics 05E18 |
| url | https://arxiv.org/abs/1303.3794 |