%0 Journal Article
%T 有限非交换单群上的10度1-正则Cayley图<br>On 10-Valent 1-Regular Cayley Graphs on Finite Nonabelian Simple Groups
%A 李婉婷
%A 凌波
%J Advances in Applied Mathematics
%P 3464-3468
%@ 2324-8009
%D 2021
%I Hans Publishing
%R 10.12677/AAM.2021.1010365
%X 称Cayley图Γ=Cay(G,S)是1-正则的，如果的全自同构群Aut(<span>Γ</span>)作用在其弧集上正则。称<span>Γ</span>是正规的，如果G？<span>Aut(</span><span>Γ</span><span>)</span>。在本文中, 我们证明了有限非交换单群上的连通10度1-正则Cayley图一定是正规的。<br />
A Cayley graph <span>Γ=Cay(G,S)</span> is said to be 1-regular, if the full automorphism group <span>Aut(</span><span>Γ</span><span>)</span> of <span>Γ</span> acts regularly on the arc set of <span>Γ</span>. And <span>Γ</span> is called normal if <span>G</span><span>？</span><span>Aut(</span><span>Γ</span><span>)</span>. In this paper, we prove 10-valent 1-regular Cayley graphs on finite nonabelian simple groups must be normal.
%K 1-正则图，正规Cayley图，非交换单群<br>1-Regular Graph
%K Normal Cayley Graph
%K Nonabelian Simple Group
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=45975