论文标题
距离传播的挖掘：后代同元，财产$ z $和可达性
Distance-transitive digraphs: descendant-homogeneity, property $Z$ and reachability
论文作者
论文摘要
我们调查了无限传输的挖掘的类别$ d $ d $有限的价值。我们表明，如果$ d $在这样的班级中是一个弱后代同质的，那么（1）$ d $具有财产$ z $，并且可及性关系并不普遍；或（2）$ d $没有属性$ z $，可达性关系是通用的，$ d $具有无限的价值。同样，我们表明，在高度弧度传播的挖掘物的背景下证明了早期的结果，在距离转换的条件下。最后，我们对类别距离传播的弱后代均匀的挖掘的类子进行了描述，其可达性关系并非通用。
We investigate the class of infinite distance-transitive digraphs $D$ of finite out-valency. We show that if $D$ is a weakly descendant-homogeneous in such a class then either (1) $D$ has property $Z$ and the reachability relation is not universal; or (2) $D$ does not have property $Z$, the reachability relation is universal and $D$ has infinite in-valency. Also, we show that earlier results, proved in the context of highly-arc-transitive digraphs, hold under the weaker condition of distance-transitivity. Finally, we give a description of a subclass of the class distance-transitive weakly descendant-homogeneous digraphs for which the reachability relation is not universal.
