arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2202.13396math.COmath.GR
收藏

一个新的无限族扭环型星正规商图

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

Eda Kaja, Luke Morgan

摘要:

构造了第一类具有扭圈型自同构群的局部弧传递图的无限族,该图的自同构群在顶点上有两个轨道,并且在一个轨道上是拟本原的.这项工作有助于Giudici,李和Praeger的程序分类的局部弧传递图显示,明星正常商扭曲的花环类别也包含无限多的图形。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑