论文标题

新的无限恒星家族扭曲花圈类型

A new infinite family of star normal quotient graphs of twisted wreath type

论文作者

Kaja, Eda, Morgan, Luke

论文摘要

我们使用自动构成组在顶点上有两个轨道的特性构建了局部弧形及物图的第一批无限家族,并且对一个扭曲的花圈类型恰好对一个轨道构成了准拟合。这项工作促进了Giudici,Li和Praeger的计划,以表明Star正常商扭曲的花圈类别还包含无限的图形,从而对本地弧形及物图进行了分类。

We construct the first infinite families of locally arc transitive graphs with the property that the automorphism group has two orbits on vertices and is quasiprimitive on exactly one orbit, of twisted wreath type. This work contributes to Giudici, Li and Praeger's program for the classification of locally arc transitive graphs by showing that the star normal quotient twisted wreath category also contains infinitely many graphs.

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