论文标题
完整图的对称封面和伪封闭式
Symmetric Covers and Pseudocovers of Complete Graphs
论文作者
论文摘要
我们首先描述了所有忠实的弧线传递封面的完整图表,并给出了此类封面的一般结构。对于封面的对应物,我们说,如果它们具有相同的价值,并且$γ$不是$σ$的封面,则图$γ$是其商$σ$的伪越野,这是本文的第二个结果,我们证明完整的图$ \ \ k_n $具有连接的Arc-Transive arc-transive pseudocoverover,如果不是$ n-1 $ $ n-1 $ nime n a prime n a prime a a prime n a prime a a prime是a。
We first characterize all faithful arc-transitive covers of complete graphs and we give a general construction of such covers. For a counterpart of cover, we say a graph $Γ$ is a pseudocover of its quotient $Σ$ if they have the same valency and $Γ$ is not a cover of $Σ$.As the second result of this paper, we prove that the complete graph $\K_n$ has a connected arc-transitive pseudocover if and only if $n-1$ is not a prime.