论文标题
具有二面体动作的奇异图
Singular Graphs with Dihedral Group Action
论文作者
论文摘要
令$γ$为有限顶点集合的简单无向图,让$ a $为其邻接矩阵。如果$ a $是单数,则$γ$为{\ it单数}。表征奇异图的问题很容易说明,但在任何一般性中都很难解决。在本文中,我们调查了二面体组在顶点上作为一组自动形态的奇异性的奇异性。
Let $Γ$ be a simple undirected graph on a finite vertex set and let $A$ be its adjacency matrix. Then $Γ$ is {\it singular} if $A$ is singular. The problem of characterising singular graphs is easy to state but very difficult to resolve in any generality. In this paper we investigate the singularity of graphs for which the dihedral group acts transitively on vertices as a group of automorphisms.