Symmetric graphs of valency seven and their basic normal quotient graphs
We characterize seven valent symmetric graphs of order 2pqn2p{q}^{n} with p<qp\lt q odd primes, extending a few previous results. Moreover, a consequence partially generalizes the result of Conder, Li and Potočnik [On the orders of arc-transitive graphs, J. Algebra 421 (2015), 167–186].
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2021-08-01
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| Series: | Open Mathematics |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/math-2021-0062 |
| _version_ | 1819001791680872448 |
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| author | Pan Jiangmin Huang Junjie Wang Chao |
| author_facet | Pan Jiangmin Huang Junjie Wang Chao |
| author_sort | Pan Jiangmin |
| collection | DOAJ |
| description | We characterize seven valent symmetric graphs of order 2pqn2p{q}^{n} with p<qp\lt q odd primes, extending a few previous results. Moreover, a consequence partially generalizes the result of Conder, Li and Potočnik [On the orders of arc-transitive graphs, J. Algebra 421 (2015), 167–186]. |
| first_indexed | 2024-12-20T22:54:50Z |
| format | Article |
| id | doaj.art-f2569b31fd8f42fcb400d23923dd1fc5 |
| institution | Directory Open Access Journal |
| issn | 2391-5455 |
| language | English |
| last_indexed | 2024-12-20T22:54:50Z |
| publishDate | 2021-08-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Open Mathematics |
| spelling | doaj.art-f2569b31fd8f42fcb400d23923dd1fc52022-12-21T19:24:09ZengDe GruyterOpen Mathematics2391-54552021-08-0119173574610.1515/math-2021-0062Symmetric graphs of valency seven and their basic normal quotient graphsPan Jiangmin0Huang Junjie1Wang Chao2School of Statistics and Mathematics, Yunnan University of Finance and Economics, Kunming, P. R. ChinaSchool of Statistics and Mathematics, Yunnan University of Finance and Economics, Kunming, P. R. ChinaSchool of Statistics and Mathematics, Yunnan University of Finance and Economics, Kunming, P. R. ChinaWe characterize seven valent symmetric graphs of order 2pqn2p{q}^{n} with p<qp\lt q odd primes, extending a few previous results. Moreover, a consequence partially generalizes the result of Conder, Li and Potočnik [On the orders of arc-transitive graphs, J. Algebra 421 (2015), 167–186].https://doi.org/10.1515/math-2021-0062symmetric graphsimple groupnormal quotient graph20b1520b3005c25 |
| spellingShingle | Pan Jiangmin Huang Junjie Wang Chao Symmetric graphs of valency seven and their basic normal quotient graphs Open Mathematics symmetric graph simple group normal quotient graph 20b15 20b30 05c25 |
| title | Symmetric graphs of valency seven and their basic normal quotient graphs |
| title_full | Symmetric graphs of valency seven and their basic normal quotient graphs |
| title_fullStr | Symmetric graphs of valency seven and their basic normal quotient graphs |
| title_full_unstemmed | Symmetric graphs of valency seven and their basic normal quotient graphs |
| title_short | Symmetric graphs of valency seven and their basic normal quotient graphs |
| title_sort | symmetric graphs of valency seven and their basic normal quotient graphs |
| topic | symmetric graph simple group normal quotient graph 20b15 20b30 05c25 |
| url | https://doi.org/10.1515/math-2021-0062 |
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