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单群的点传递图的GI-性质
The GI-properties of the vertex-transitive graphs of simple groups

Keywords: 点传递图 单群 陪集图 GI-图
vertex-transitive graphs simple groups coset graphs GI-graph

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Abstract:

针对点传递图的同构问题,类似于Babai关于Cayley图为CI图的充分必要条件,给出了点传递图为GI-图的判别准则,并研究了单群的点传递图的GI-性质.
On the isomorphism problem of the vertex-transitive graphs,we give the criterion for a vertex-transitive graph to be a GI-graph,analogous to the conditions for a Cayley graph to be a CI-graph given by Babai. On basis of this,we attack the GI-properties of the vertex-transitive graphs of simple groups

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