Invariant subspaces, duality, and covers of the Petersen graph
Invariant subspaces, duality, and covers of the Petersen graph
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DOI：
10.1016/j.ejc.2005.04.003
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发表时间：
2006-08
期刊：
影响因子：
--
通讯作者：
A. Malnic;P. Potočnik
中科院分区：
文献类型：
--
作者：
A. Malnic;P. Potočnik
将一种求有限连通图的初等阿贝尔正则覆盖投影的一般方法应用于Petersen图。结果，给出了允许自同构的顶点传递群提升的对非同构初等阿贝尔覆盖的完整列表。结果图形以电压赋值的形式明确地描述。
A general method for finding elementary abelian regular covering projections of finite connected graphs is applied to the Petersen graph. As a result, a complete list of pairwise non-isomorphic elementary abelian covers admitting a lift of a vertex-transitive group of automorphisms is given. The resulting graphs are explicitly described in terms of voltage assignments.