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].

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Auteurs principaux:	Pan Jiangmin, Huang Junjie, Wang Chao
Format:	article
Langue:	EN
Publié:	De Gruyter 2021
Sujets:	symmetric graph simple group normal quotient graph 20b15 20b30 05c25 Mathematics QA1-939
Accès en ligne:	https://doaj.org/article/f2569b31fd8f42fcb400d23923dd1fc5
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spelling	oai:doaj.org-article:f2569b31fd8f42fcb400d23923dd1fc52021-12-05T14:10:53ZSymmetric graphs of valency seven and their basic normal quotient graphs2391-545510.1515/math-2021-0062https://doaj.org/article/f2569b31fd8f42fcb400d23923dd1fc52021-08-01T00:00:00Zhttps://doi.org/10.1515/math-2021-0062https://doaj.org/toc/2391-5455We 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].Pan JiangminHuang JunjieWang ChaoDe Gruyterarticlesymmetric graphsimple groupnormal quotient graph20b1520b3005c25MathematicsQA1-939ENOpen Mathematics, Vol 19, Iss 1, Pp 735-746 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	symmetric graph simple group normal quotient graph 20b15 20b30 05c25 Mathematics QA1-939
spellingShingle	symmetric graph simple group normal quotient graph 20b15 20b30 05c25 Mathematics QA1-939 Pan Jiangmin Huang Junjie Wang Chao Symmetric graphs of valency seven and their basic normal quotient graphs
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].
format	article
author	Pan Jiangmin Huang Junjie Wang Chao
author_facet	Pan Jiangmin Huang Junjie Wang Chao
author_sort	Pan Jiangmin
title	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_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_sort	symmetric graphs of valency seven and their basic normal quotient graphs
publisher	De Gruyter
publishDate	2021
url	https://doaj.org/article/f2569b31fd8f42fcb400d23923dd1fc5
work_keys_str_mv	AT panjiangmin symmetricgraphsofvalencysevenandtheirbasicnormalquotientgraphs AT huangjunjie symmetricgraphsofvalencysevenandtheirbasicnormalquotientgraphs AT wangchao symmetricgraphsofvalencysevenandtheirbasicnormalquotientgraphs
_version_	1718371636836564992

Symmetric graphs of valency seven and their basic normal quotient graphs

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