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CUBIC EDGE-TRANSITIVE GRAPHS OF ORDER 8p2
| Content Provider | Scilit |
|---|---|
| Author | Alaeiyan, Mehdi Ghasemi, Mohsen |
| Copyright Year | 2008 |
| Description | A simple undirected graph is said to be semisymmetric if it is regular and edge-transitive but not vertex-transitive. Let p be a prime. It was shown by Folkman [J. Folkman, ‘Regular line-symmetric graphs’, J. Combin. Theory3 (1967), 215–232] that a regular edge-transitive graph of order 2p or $2p^{2}$ is necessarily vertex-transitive. In this paper an extension of his result in the case of cubic graphs is given. It is proved that every cubic edge-transitive graph of order $8p^{2}$ is vertex-transitive. |
| Related Links | https://www.cambridge.org/core/services/aop-cambridge-core/content/view/9DE6BEB4BDCF34C66CCB7081E5047953/S0004972708000361a.pdf/div-class-title-cubic-edge-transitive-graphs-of-order-8-span-class-italic-p-span-span-class-sup-2-span-div.pdf |
| Ending Page | 323 |
| Page Count | 9 |
| Starting Page | 315 |
| ISSN | 00049727 |
| e-ISSN | 17551633 |
| DOI | 10.1017/s0004972708000361 |
| Journal | Bulletin of the Australian Mathematical Society |
| Issue Number | 2 |
| Volume Number | 77 |
| Language | English |
| Publisher | Cambridge University Press (CUP) |
| Publisher Date | 2008-04-01 |
| Access Restriction | Open |
| Subject Keyword | Bulletin of the Australian Mathematical Society Semisymmetric Graphs Symmetric Graphs Regular Coverings |
| Content Type | Text |
| Resource Type | Article |
| Subject | Mathematics |
