Locally-primitive Arc-transitive lO-Valent Graphs of Square-free Order  被引量:2

Locally-primitive Arc-transitive lO-Valent Graphs of Square-free Order

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作  者:Guang Li Zaiping Lu Xiaoyuan Zhang 

机构地区:[1]Center for Combinatorics, LPMC-TJKLC, Nankai University Tianjin 300071, China

出  处:《Algebra Colloquium》2018年第2期243-264,共22页代数集刊(英文版)

基  金:This work was supported by the National Natural Science Foundation of China (grants 11371204, 11731002).

摘  要:In this paper, we present a complete classification for locally-primitive arctransitive graphs which have square-free order and valency 10. The classification involves nine graphs and three infinite families of graphs.

关 键 词:arc-transitive graph locally-primitive graph normal quotient vertexstabilizer (almost) simple group 

分 类 号:O151.21[理学—数学]

 

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