| S_5的连通弧传递陪集图 |
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| 引用本文： | 袁静.S_5的连通弧传递陪集图[J].安阳师范学院学报,2014(5):4-7. |
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| 作者姓名： | 袁静 |
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| 作者单位： | 安阳师范学院数学与统计学院,河南安阳,455000 |
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| 摘 要： | 称图Γ是弧传递图,如果Γ的自同构群AutΓ作用在其弧集上传递.在valΓ≥3的情形下,本文给出了S5的连通弧传递陪集图的一个完全分类.证明了在同构意义下,这样的图有18个:2个3度弧传递图;7个4度弧传递图;3个5度弧传递图;5个6度弧传递图;1个8度弧传递图.
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| 关 键 词： | 弧传递图 陪集图 自同构群 |
Connected Arc-transitive Coset Graphs on S5 |
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| YUAN Jing.Connected Arc-transitive Coset Graphs on S5[J].Journal of Aayang Teachers College,2014(5):4-7. |
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| Authors: | YUAN Jing |
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| Institution: | YUAN Jing (School of Mathematics and Statistics, Anyang Normal University, Anyang 455000 ,China) |
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| Abstract: | A graph Γis called arc-transitive if its full automorphism group AutΓacts transitively on its arcs. In this paper, a complete classifiction of connected arc-transitive coset graphs on S5 is given for valΓ≥3.It is proved that there exists eighteen such graphs up to isomorphism： two cubic arc-transitive graphs, seven tetravalent arc-transitive graphs, three pentavalent arc -transitive graphs, five hexavalent arc -transitive graphs, one octavalent arc-transitive graphs. |
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| Keywords: | Arc-transitive graph Coset graph Automorphism group |
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