在这个假定下，我们进一步根据商有向图及核K为C（G，S）的自同构群刻划出了一系列特性。
Under this assumption, the present paper further gives a characterization for the automorphism group of C( G, S) in terms of the quotient di-graph and the kernel K.
一个图称为点传递图，如果它的全自同构群在它的顶点集合上作用传递。
Firstly, we obtain some equivalent characterization for Cayley graphs of completely simple semigroup which is vertex-transitive.
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