On Algebraic Connectivity of Unicyclicgraph with Perfect Matching

It was proved thatthe algebraic connectivity of any unicyclic graph of order n(n≥22) with perfect matching does not exceed (3-5~(1/2))/2.All the unicyclic graphs of order n(n≥22) with perfect matching whose algebraic connectivity attains (3-5~(1/2))/2 were also determind.