论文标题
在2-ARC传递的产品动作类型上
On 2-arc-transitive graphs of product action type
论文作者
论文摘要
在本文中，我们讨论了有关产品作用类型的2-Arc-Transistitive（非双方和双分部分）图的结构信息。事实证明，产品动作类型的2-ARC传播图需要对顶点稳定器或价值的某些限制。基于某些等距线性代码的存在，为非对角性产品作用类型的2个ARC传输图提供了构造，该图产生了几个此类图的家族。此外，为对角线产品动作类型的2-弧横幅图提供了非平凡的结构
In this paper, we discuss the structural information about 2-arc-transitive (non-bipartite and bipartite) graphs of product action type. It is proved that a 2-arc-transitive graph of product action type requires certain restrictions on either the vertex-stabilizers or the valency. Based on the existence of some equidistant linear codes, a construction is given for 2-arc-transitive graphs of non-diagonal product action type, which produces several families of such graphs. Besides, a nontrivial construction is given for 2-arc-transitive bipartite graphs of diagonal product action type
