点稳定子为F₂₀的5度无核2-正则Cayley图  

Core-Free Pentavalent 2-Regular Cayley Graphs with Vertex Stabilizer F20

作　　者：茹昕 赵路清 

机构地区：[1]云南民族大学数学与计算机科学学院,云南 昆明

出　　处：《应用数学进展》2023年第8期3495-3500,共6页Advances in Applied Mathematics

摘　　要：在具有较高对称性的图中,正则Cayley图是一类特殊的对称图。称一个图Γ为2-正则图,如果Γ的全自同构群AutΓ作用在2-弧集上正则。本文给出了点稳定子为F20的5度无核2-正则Cayley图的部分分类。Among graphs with higher symmetry, regular Cayley graphs are a special class of symmetric graphs. A graph Γ is called 2-regular if its full automorphism group AutΓ acts regularly on its 2-arcs. In this paper, it is given that a partial classification of core-free pentavalent 2-regular Cayley graphs with the vertex stabilizer F20.

关 键 词：无核 2-正则 CAYLEY图 

分 类 号：O15[理学—数学]