In this paper,we characterize the connected s-arc-transitive solvable Cayley graphs with s≥3 and valency of at least three.We prove that such graphs are the normal covers of four specific families of graphs.In particular,we show that the sharp upper bound on s is 4,and we point out an infinite family of 4-arc-transitive solvable Cayley graphs.
关键词
上确界/s-弧传递图/Cayley图/可解群
Key words
sharp upper bound/s-arc-transitive graph/Cayley graph/solvable group
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