Cayley子集S全为2阶元的点稳定子为F₂₀的5度无核2-正则Cayley图  

Core-Free Pentavalent 2-Regular Cayley Graphs Whose Cayley Subsets S Are All 2-Order Elements with Vertex Stabilizer F20

作　　者：茹昕 凌波 

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：《理论数学》2024年第2期599-605,共7页Pure 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图在Cayley子集全为2阶元情况下的全部分类。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 gives a complete classification of core-free pentavalent 2-regular Cayley graphs with the vertex stabilizer F20, where all Cayley subsets are 2-order elements.

关 键 词：无核 2-正则 CAYLEY图 

分 类 号：O15[理学—数学]