论文标题
最小的顶点主要$ 2 $ -ARC传播的Digraph
The smallest vertex-primitive $2$-arc-transitive digraph
论文作者
论文摘要
2017年，li和第三作者的朱迪奇（Giudici）建造了第一个已知的顶点 - 基本$ 2 $ 2 $ -ARC-arc Transitive digraphs valencys的家族，至少$ 2 $。这个家庭中最小的Digraph承认$ \ mathrm {psl} _3（49）$代表$ 2 $ -Arc-arc-transitationally vertex-stabilizer $ \ mathrm {a} _6 $，因此有$ 30758154560 $ feattices。在本文中，我们证明了这一挖掘物是价值$ 2 $ -2 $ -ARC传播的价值图，至少$ 2 $，最少的顶点。
In 2017, Giudici, Li and the third author constructed the first known family of vertex-primitive $2$-arc-transitive digraphs of valency at least $2$. The smallest digraph in this family admits $\mathrm{PSL}_3(49)$ acting $2$-arc-transitively with vertex-stabilizer $\mathrm{A}_6$ and hence has $30758154560$ vertices. In this paper, we prove that this digraph is the vertex-primitive $2$-arc-transitive digraph of valency at least $2$ with fewest vertices.
