Generalized Wreath Products of Graphs and Groups
Generalized Wreath Products of Graphs and Groups
复制标题
图和群的广义花环积
DOI：
10.1007/s00373-014-1414-4
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发表时间：
2014
影响因子：
0.7
通讯作者：
A. Donno
中科院分区：
文献类型：
--
作者：
A. Donno
受置换群的广义圈积定义的启发，我们定义了图的广义圈积，包括图的经典笛卡尔圈积和圈积作为特例.证明了有限群的Cayley图的广义圈积是相应群的广义圈积的Cayley图。
Inspired by the definition of generalized wreath product of permutation groups, we define the generalized wreath product of graphs, containing the classical Cartesian and wreath product of graphs as particular cases. We prove that the generalized wreath product of Cayley graphs of finite groups is the Cayley graph of the generalized wreath product of the corresponding groups.