论文标题
在图表的免费产品上
On free products of graphs
论文作者
论文摘要
我们定义了连接的简单图的免费产品,当图形传递时,它等效于几个现有定义,但否则却不同。新的定义是为免费产品的自动形态组设计的,使其尽可能大,我们给出了足够的标准,使其无汇合。最后,我们将山雀对树木的自动形态和简单标准的分类转移到了图形的免费产品中。
We define a free product of connected simple graphs that is equivalent to several existing definitions when the graphs are vertex-transitive but differs otherwise. The new definition is designed for the automorphism group of the free product to be as large as possible, and we give sufficient criteria for it to be non-discrete. Finally, we transfer Tits' classification of automorphisms of trees and simplicity criterion to free products of graphs.