交换群上五度弧传递Cayley图

Arc-Transitive Cayley Graphs of Valency Five on Abelian Groups

对交换群上五度弧传递Cayley图进行了分类,证明了交换群上五度Cayley图X弧传递的充分必要条件是X同构于Qd4,Q5,K5,5,K6或者K6,6-6K2.

We give a complete dassification of are-transitive Cayley graphs of valency five on Abelian groups, and prove that a Cayley graph X of valency five on Abelian groups is arc-transitive if and only if X is isomorphic to Q4^d, Q5, K5,5, K6 or K6,6 - 6K2.