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

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.