论文标题
在有限的Abelian群体上具有最高学位的一组匹配半开 - 合图的正态性
Normality of one-matching semi-Cayley graphs over finite abelian groups with maximum degree three
论文作者
论文摘要
如果将$ g $作为半胶状汽车组承认，两个尺寸相等的轨道，则据说$γ$是组$ g $的半开采图。我们说，如果$ g $是$ {\ rm aut}（γ）$的普通亚组，则$γ$是正常的。我们证明，在有限的Abelian组上，每个连接的不及物的单匹配的半搭扣图（最高）是正常的，并且表征了所有这些非正常图。
A graph $Γ$ is said to be a semi-Cayley graph over a group $G$ if it admits $G$ as a semiregular automorphism group with two orbits of equal size. We say that $Γ$ is normal if $G$ is a normal subgroup of ${\rm Aut}(Γ)$. We prove that every connected intransitive one-matching semi-Cayley graph, with maximum degree three, over a finite abelian group is normal and characterize all such non-normal graphs.
